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20075553626472 = 23329724111927413
BaseRepresentation
bin1001001000010001101000…
…01111100001100101101000
32122002012111211221101211200
410210020310033201211220
510112404213212021342
6110410325414324200
74141260635163231
oct444106417414550
978065454841750
1020075553626472
11643aaa3720953
12230293a359660
13b28169199ca6
144d593a68a088
1524c327d0a94c
hex1242343e1968

20075553626472 has 96 divisors (see below), whose sum is σ = 55159757332680. Its totient is φ = 6595381739520.

The previous prime is 20075553626393. The next prime is 20075553626483. The reversal of 20075553626472 is 27462635557002.

20075553626472 is a `hidden beast` number, since 2 + 0 + 0 + 7 + 5 + 5 + 5 + 3 + 626 + 4 + 7 + 2 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 19741901830596 + 333651795876 = 4443186^2 + 577626^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4280563 + ... + 7646850.

Almost surely, 220075553626472 is an apocalyptic number.

It is an amenable number.

20075553626472 is an abundant number, since it is smaller than the sum of its proper divisors (35084203706208).

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

20075553626472 is a wasteful number, since it uses less digits than its factorization.

20075553626472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11927763 (or 11927756 counting only the distinct ones).

The product of its (nonzero) digits is 21168000, while the sum is 54.

The spelling of 20075553626472 in words is "twenty trillion, seventy-five billion, five hundred fifty-three million, six hundred twenty-six thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 97 194 241 291 388 482 582 723 776 873 964 1164 1446 1746 1928 2169 2328 2892 3492 4338 5784 6984 8676 17352 23377 46754 70131 93508 140262 187016 210393 280524 420786 561048 841572 1683144 11927413 23854826 35782239 47709652 71564478 95419304 107346717 143128956 214693434 286257912 429386868 858773736 1156959061 2313918122 2874506533 3470877183 4627836244 5749013066 6941754366 8623519599 9255672488 10412631549 11498026132 13883508732 17247039198 20825263098 22996052264 25870558797 27767017464 34494078396 41650526196 51741117594 68988156792 83301052392 103482235188 206964470376 278827133701 557654267402 836481401103 1115308534804 1672962802206 2230617069608 2509444203309 3345925604412 5018888406618 6691851208824 10037776813236 20075553626472