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25029149940 = 22325733189701
BaseRepresentation
bin10111010011110110…
…101000010011110100
32101121022202120000100
4113103312220103310
5402224430244230
615255341314100
71544150156424
oct272366502364
971538676010
1025029149940
11a684336893
124a26265930
13248b5a15c2
1412d61b4484
159b752e660
hex5d3da84f4

25029149940 has 72 divisors (see below), whose sum is σ = 76025732328. Its totient is φ = 6665299200.

The previous prime is 25029149933. The next prime is 25029150011. The reversal of 25029149940 is 4994192052.

25029149940 is a `hidden beast` number, since 2 + 502 + 9 + 14 + 99 + 40 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 8740754064 + 16288395876 = 93492^2 + 127626^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 37090 + ... + 226790.

It is an arithmetic number, because the mean of its divisors is an integer number (1055912949).

Almost surely, 225029149940 is an apocalyptic number.

25029149940 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

25029149940 is an abundant number, since it is smaller than the sum of its proper divisors (50996582388).

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

25029149940 is a wasteful number, since it uses less digits than its factorization.

25029149940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190449 (or 190444 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The spelling of 25029149940 in words is "twenty-five billion, twenty-nine million, one hundred forty-nine thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 733 1466 2199 2932 3665 4398 6597 7330 8796 10995 13194 14660 21990 26388 32985 43980 65970 131940 189701 379402 569103 758804 948505 1138206 1707309 1897010 2276412 2845515 3414618 3794020 5691030 6829236 8536545 11382060 17073090 34146180 139050833 278101666 417152499 556203332 695254165 834304998 1251457497 1390508330 1668609996 2085762495 2502914994 2781016660 4171524990 5005829988 6257287485 8343049980 12514574970 25029149940