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25040949100 = 22527315122717
BaseRepresentation
bin10111010100100011…
…101000111101101100
32101122010222000102021
4113110203220331230
5402240440332400
615300442235524
71544352361336
oct272443507554
971563860367
1025040949100
11a68aa65762
124a2a1b5ba4
132490b7305b
1412d79a6456
159b85b071a
hex5d48e8f6c

25040949100 has 72 divisors (see below), whose sum is σ = 55450457888. Its totient is φ = 9813312000.

The previous prime is 25040949013. The next prime is 25040949127. The reversal of 25040949100 is 194904052.

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, 1090942 + ... + 1113658.

Almost surely, 225040949100 is an apocalyptic number.

25040949100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 25040949100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27725228944).

25040949100 is an abundant number, since it is smaller than the sum of its proper divisors (30409508788).

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

25040949100 is a wasteful number, since it uses less digits than its factorization.

25040949100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22955 (or 22948 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 34.

The spelling of 25040949100 in words is "twenty-five billion, forty million, nine hundred forty-nine thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 73 100 146 151 292 302 365 604 730 755 1460 1510 1825 3020 3650 3775 7300 7550 11023 15100 22046 22717 44092 45434 55115 90868 110230 113585 220460 227170 275575 454340 551150 567925 1102300 1135850 1658341 2271700 3316682 3430267 6633364 6860534 8291705 13721068 16583410 17151335 33166820 34302670 41458525 68605340 82917050 85756675 165834100 171513350 250409491 343026700 500818982 1001637964 1252047455 2504094910 5008189820 6260237275 12520474550 25040949100