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10245644541252 = 2232514135535589
BaseRepresentation
bin1001010100011000000000…
…0000001101110101000100
31100021110210120202212202200
42111012000000031311010
52320331040000310002
633442441212034500
72105136423446511
oct225060000156504
940243716685680
1010245644541252
1132a017627068a
121195811762a30
13594210a7ac93
14275c6b2dc308
1512b7a56c0b1c
hex9518000dd44

10245644541252 has 36 divisors (see below), whose sum is σ = 25899221007660. Its totient is φ = 3415147803072.

The previous prime is 10245644541229. The next prime is 10245644541277. The reversal of 10245644541252 is 25214544654201.

10245644541252 is a `hidden beast` number, since 1 + 0 + 2 + 4 + 56 + 4 + 4 + 541 + 2 + 52 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 7287051898116 + 2958592643136 = 2699454^2 + 1720056^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a junction number, because it is equal to n+sod(n) for n = 10245644541198 and 10245644541207.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 916927 + ... + 4618662.

Almost surely, 210245644541252 is an apocalyptic number.

10245644541252 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10245644541252 is an abundant number, since it is smaller than the sum of its proper divisors (15653576466408).

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

10245644541252 is a wasteful number, since it uses less digits than its factorization.

10245644541252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5587012 (or 5587007 counting only the distinct ones).

The product of its (nonzero) digits is 1536000, while the sum is 45.

The spelling of 10245644541252 in words is "ten trillion, two hundred forty-five billion, six hundred forty-four million, five hundred forty-one thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 18 36 51413 102826 154239 205652 308478 462717 616956 925434 1850868 5535589 11071178 16606767 22142356 33213534 49820301 66427068 99640602 199281204 284601237257 569202474514 853803711771 1138404949028 1707607423542 2561411135313 3415214847084 5122822270626 10245644541252