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2025517023320 = 235726349735531
BaseRepresentation
bin11101011110011010001…
…110010000000001011000
321011122012202121221102212
4131132122032100001120
5231141224324221240
64150302031214252
7266224125424040
oct35363216200130
97148182557385
102025517023320
1171102061110a
12288685677388
1311900bc3323b
147006d780720
1537a4d27c165
hex1d79a390058

2025517023320 has 128 divisors (see below), whose sum is σ = 5230273213440. Its totient is φ = 691558264320.

The previous prime is 2025517023301. The next prime is 2025517023353. The reversal of 2025517023320 is 233207155202.

It is a super-2 number, since 2×20255170233202 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 366208955 + ... + 366214485.

It is an arithmetic number, because the mean of its divisors is an integer number (40861509480).

Almost surely, 22025517023320 is an apocalyptic number.

2025517023320 is a gapful number since it is divisible by the number (20) 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 2025517023320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2615136606720).

2025517023320 is an abundant number, since it is smaller than the sum of its proper divisors (3204756190120).

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

2025517023320 is a wasteful number, since it uses less digits than its factorization.

2025517023320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10785 (or 10781 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 32.

The spelling of 2025517023320 in words is "two trillion, twenty-five billion, five hundred seventeen million, twenty-three thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 263 280 526 1052 1315 1841 2104 2630 3682 4973 5260 5531 7364 9205 9946 10520 11062 14728 18410 19892 22124 24865 27655 34811 36820 38717 39784 44248 49730 55310 69622 73640 77434 99460 110620 139244 154868 174055 193585 198920 221240 278488 309736 348110 387170 696220 774340 1307899 1392440 1454653 1548680 2615798 2909306 5231596 5818612 6539495 7273265 9155293 10182571 10463192 11637224 13078990 14546530 18310586 20365142 26157980 27505663 29093060 36621172 40730284 45776465 50912855 52315960 55011326 58186120 73242344 81460568 91552930 101825710 110022652 137528315 183105860 192539641 203651420 220045304 275056630 366211720 385079282 407302840 550113260 770158564 962698205 1100226520 1540317128 1925396410 3850792820 7233989369 7701585640 14467978738 28935957476 36169946845 50637925583 57871914952 72339893690 101275851166 144679787380 202551702332 253189627915 289359574760 405103404664 506379255830 1012758511660 2025517023320