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20025115264 = 277112970061
BaseRepresentation
bin10010101001100101…
…110000001010000000
31220200120210020220201
4102221211300022000
5312002412142024
613111023414544
71306145446150
oct225145601200
956616706821
1020025115264
118546723540
123a6a454454
131b7195c43b
14d7d782760
157c307c744
hex4a9970280

20025115264 has 128 divisors (see below), whose sum is σ = 51453532800. Its totient is φ = 7532851200.

The previous prime is 20025115261. The next prime is 20025115273. The reversal of 20025115264 is 46251152002.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (20025115261) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 250794 + ... + 320854.

It is an arithmetic number, because the mean of its divisors is an integer number (401980725).

Almost surely, 220025115264 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20025115264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25726766400).

20025115264 is an abundant number, since it is smaller than the sum of its proper divisors (31428417536).

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

20025115264 is a wasteful number, since it uses less digits than its factorization.

20025115264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70122 (or 70110 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 28.

Adding to 20025115264 its reverse (46251152002), we get a palindrome (66276267266).

The spelling of 20025115264 in words is "twenty billion, twenty-five million, one hundred fifteen thousand, two hundred sixty-four".

Divisors: 1 2 4 7 8 11 14 16 22 28 29 32 44 56 58 64 77 88 112 116 128 154 176 203 224 232 308 319 352 406 448 464 616 638 704 812 896 928 1232 1276 1408 1624 1856 2233 2464 2552 3248 3712 4466 4928 5104 6496 8932 9856 10208 12992 17864 20416 25984 35728 40832 70061 71456 140122 142912 280244 285824 490427 560488 770671 980854 1120976 1541342 1961708 2031769 2241952 3082684 3923416 4063538 4483904 5394697 6165368 7846832 8127076 8967808 10789394 12330736 14222383 15693664 16254152 21578788 22349459 24661472 28444766 31387328 32508304 43157576 44698918 49322944 56889532 62774656 65016608 86315152 89397836 98645888 113779064 130033216 156446213 172630304 178795672 227558128 260066432 312892426 345260608 357591344 455116256 625784852 690521216 715182688 910232512 1251569704 1430365376 1820465024 2503139408 2860730752 5006278816 10012557632 20025115264