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20310134265504 = 25321032772471743
BaseRepresentation
bin1001001111000110100100…
…10101101001011010100000
32122220122000011210120011200
410213203102111221122200
510130230123332444004
6111110202531441200
74164234026543646
oct447432225513240
978818004716150
1020310134265504
116520530343a76
1223402a6a56200
13b4431187cc45
145030312b3196
152534a70c5239
hex1278d25696a0

20310134265504 has 144 divisors (see below), whose sum is σ = 58528248210432. Its totient is φ = 6680110155264.

The previous prime is 20310134265503. The next prime is 20310134265527. The reversal of 20310134265504 is 40556243101302.

20310134265504 is a `hidden beast` number, since 2 + 0 + 3 + 10 + 134 + 2 + 6 + 5 + 504 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (20310134265503) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6981057 + ... + 9452799.

It is an arithmetic number, because the mean of its divisors is an integer number (406446168128).

Almost surely, 220310134265504 is an apocalyptic number.

20310134265504 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20310134265504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29264124105216).

20310134265504 is an abundant number, since it is smaller than the sum of its proper divisors (38218113944928).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

20310134265504 is a wasteful number, since it uses less digits than its factorization.

20310134265504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2472139 (or 2472128 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

Adding to 20310134265504 its reverse (40556243101302), we get a palindrome (60866377366806).

The spelling of 20310134265504 in words is "twenty trillion, three hundred ten billion, one hundred thirty-four million, two hundred sixty-five thousand, five hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 103 144 206 277 288 309 412 554 618 824 831 927 1108 1236 1648 1662 1854 2216 2472 2493 3296 3324 3708 4432 4944 4986 6648 7416 8864 9888 9972 13296 14832 19944 26592 28531 29664 39888 57062 79776 85593 114124 171186 228248 256779 342372 456496 513558 684744 912992 1027116 1369488 2054232 2471743 2738976 4108464 4943486 7415229 8216928 9886972 14830458 19773944 22245687 29660916 39547888 44491374 59321832 79095776 88982748 118643664 177965496 237287328 254589529 355930992 509179058 684672811 711861984 763768587 1018358116 1369345622 1527537174 2036716232 2054018433 2291305761 2738691244 3055074348 4073432464 4108036866 4582611522 5477382488 6110148696 6162055299 8146864928 8216073732 9165223044 10954764976 12220297392 12324110598 16432147464 18330446088 21909529952 24440594784 24648221196 32864294928 36660892176 49296442392 65728589856 70521299533 73321784352 98592884784 141042599066 197185769568 211563898599 282085198132 423127797198 564170396264 634691695797 846255594396 1128340792528 1269383391594 1692511188792 2256681585056 2538766783188 3385022377584 5077533566376 6770044755168 10155067132752 20310134265504