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10163758444225 = 5259210121072
BaseRepresentation
bin1001001111100110111100…
…1101100010111011000001
31022222122102210122011001021
42103321233031202323001
52313010334130203400
633341055520505441
72066210260221661
oct223715715427301
938878383564037
1010163758444225
113269475744a31
12118197a17b281
13589590c6c829
14271cddc781a1
151295b183d71a
hex93e6f362ec1

10163758444225 has 81 divisors (see below), whose sum is σ = 13070627374441. Its totient is φ = 7840089448000.

The previous prime is 10163758444207. The next prime is 10163758444237. The reversal of 10163758444225 is 52244485736101.

The square root of 10163758444225 is 3188065.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 1876683546241 + 8287074897984 = 1369921^2 + 2878728^2 .

It is not a de Polignac number, because 10163758444225 - 211 = 10163758442177 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 94988396622 + ... + 94988396728.

Almost surely, 210163758444225 is an apocalyptic number.

10163758444225 is the 3188065-th square number.

10163758444225 is the 1594033-rd centered octagonal number.

It is an amenable number.

10163758444225 is a deficient number, since it is larger than the sum of its proper divisors (2906868930216).

10163758444225 is an frugal number, since it uses more digits than its factorization.

10163758444225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 544 (or 272 counting only the distinct ones).

The product of its (nonzero) digits is 6451200, while the sum is 52.

The spelling of 10163758444225 in words is "ten trillion, one hundred sixty-three billion, seven hundred fifty-eight million, four hundred forty-four thousand, two hundred twenty-five".

Divisors: 1 5 25 59 101 107 295 505 535 1475 2525 2675 3481 5959 6313 10201 10807 11449 17405 29795 31565 51005 54035 57245 87025 148975 157825 255025 270175 286225 351581 372467 601859 637613 675491 1091507 1156349 1757905 1862335 3009295 3188065 3377455 5457535 5781745 8789525 9311675 15046475 15940325 16887275 27287675 28908725 35509681 37619167 39853969 64398913 68224591 116791249 177548405 188095835 199269845 321994565 341122955 583956245 887742025 940479175 996349225 1609972825 1705614775 2919781225 3799535867 4025250869 6890683691 18997679335 20126254345 34453418455 94988396675 100631271725 172267092275 406550337769 2032751688845 10163758444225