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25121616004 = 22192432972
BaseRepresentation
bin10111011001010111…
…010111000010000100
32101211202202022121101
4113121113113002010
5402422113203004
615312443225444
71546352132662
oct273127270204
971752668541
1025121616004
11a721551a21
124a51218284
1324a47a7b54
1413045a3c32
159c06e6ba4
hex5d95d7084

25121616004 has 81 divisors (see below), whose sum is σ = 47997334917. Its totient is φ = 11503150848.

The previous prime is 25121615957. The next prime is 25121616007. The reversal of 25121616004 is 40061612152.

The square root of 25121616004 is 158498.

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

It can be written as a sum of positive squares in only one way, i.e., 11280564100 + 13841051904 = 106210^2 + 117648^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (25121616007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 258985684 + ... + 258985780.

Almost surely, 225121616004 is an apocalyptic number.

25121616004 is the 158498-th square number.

It is an amenable number.

25121616004 is a deficient number, since it is larger than the sum of its proper divisors (22875718913).

25121616004 is an equidigital number, since it uses as much as digits as its factorization.

25121616004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 322 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 28.

The spelling of 25121616004 in words is "twenty-five billion, one hundred twenty-one million, six hundred sixteen thousand, four".

Divisors: 1 2 4 19 38 43 76 86 97 172 194 361 388 722 817 1444 1634 1843 1849 3268 3686 3698 4171 7372 7396 8342 9409 15523 16684 18818 31046 35017 35131 37636 62092 70034 70262 79249 140068 140524 158498 178771 179353 316996 357542 358706 404587 667489 715084 717412 809174 1334978 1505731 1618348 2669956 3011462 3396649 3407707 6022924 6793298 6815414 7687153 13586596 13630828 15374306 17397241 30748612 34794482 64746433 69588964 129492866 146055907 258985732 292111814 330547579 584223628 661095158 1322190316 6280404001 12560808002 25121616004