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20280258256 = 24172371131049
BaseRepresentation
bin10010111000110011…
…000010111011010000
31221100100212212022011
4102320303002323100
5313013221231011
613152220152304
71315364231236
oct227063027320
957310785264
1020280258256
11866774a215
123b1b998694
131bb2782a1b
14da55da956
157da67a621
hex4b8cc2ed0

20280258256 has 120 divisors (see below), whose sum is σ = 43289026200. Its totient is φ = 9194766336.

The previous prime is 20280258253. The next prime is 20280258277. The reversal of 20280258256 is 65285208202.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 35521600 + 20244736656 = 5960^2 + 142284^2 .

It is a super-2 number, since 2×202802582562 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20280258253) 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, 19332420 + ... + 19333468.

It is an arithmetic number, because the mean of its divisors is an integer number (360741885).

Almost surely, 220280258256 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 20280258256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21644513100).

20280258256 is an abundant number, since it is smaller than the sum of its proper divisors (23008767944).

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

20280258256 is a wasteful number, since it uses less digits than its factorization.

20280258256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1241 (or 1218 counting only the distinct ones).

The product of its (nonzero) digits is 153600, while the sum is 40.

The spelling of 20280258256 in words is "twenty billion, two hundred eighty million, two hundred fifty-eight thousand, two hundred fifty-six".

Divisors: 1 2 4 8 16 17 34 37 68 74 113 136 148 226 272 289 296 452 578 592 629 904 1049 1156 1258 1808 1921 2098 2312 2516 3842 4181 4196 4624 5032 7684 8362 8392 10064 10693 15368 16724 16784 17833 21386 30736 32657 33448 35666 38813 42772 65314 66896 71077 71332 77626 85544 118537 130628 142154 142664 155252 171088 237074 261256 284308 285328 303161 310504 474148 522512 568616 606322 621008 659821 948296 1137232 1208309 1212644 1319642 1896592 2015129 2416618 2425288 2639284 4030258 4385869 4833236 4850576 5278568 8060516 8771738 9666472 10557136 11216957 16121032 17543476 19332944 22433914 32242064 34257193 35086952 44867828 68514386 70173904 74559773 89735656 137028772 149119546 179471312 274057544 298239092 548115088 596478184 1192956368 1267516141 2535032282 5070064564 10140129128 20280258256