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25113520096 = 2571714394583
BaseRepresentation
bin10111011000111000…
…011110011111100000
32101211012112000002221
4113120320132133200
5402413030120341
615311553520424
71546223253520
oct273070363740
971735460087
1025113520096
11a717a22395
124a4a573114
1324a2c01b82
141303497680
159beb47ed1
hex5d8e1e7e0

25113520096 has 96 divisors (see below), whose sum is σ = 59883909120. Its totient is φ = 10120574976.

The previous prime is 25113520027. The next prime is 25113520129. The reversal of 25113520096 is 69002531152.

It is a super-2 number, since 2×251135200962 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (34).

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 15 ways as a sum of consecutive naturals, for example, 5477421 + ... + 5482003.

It is an arithmetic number, because the mean of its divisors is an integer number (623790720).

Almost surely, 225113520096 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 25113520096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29941954560).

25113520096 is an abundant number, since it is smaller than the sum of its proper divisors (34770389024).

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

25113520096 is a wasteful number, since it uses less digits than its factorization.

25113520096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6056 (or 6048 counting only the distinct ones).

The product of its (nonzero) digits is 16200, while the sum is 34.

The spelling of 25113520096 in words is "twenty-five billion, one hundred thirteen million, five hundred twenty thousand, ninety-six".

Divisors: 1 2 4 7 8 14 16 17 28 32 34 56 68 112 119 136 224 238 272 476 544 952 1439 1904 2878 3808 4583 5756 9166 10073 11512 18332 20146 23024 24463 32081 36664 40292 46048 48926 64162 73328 77911 80584 97852 128324 146656 155822 161168 171241 195704 256648 311644 322336 342482 391408 513296 545377 623288 684964 782816 1026592 1090754 1246576 1369928 2181508 2493152 2739856 4363016 5479712 6594937 8726032 13189874 17452064 26379748 46164559 52759496 92329118 105518992 112113929 184658236 211037984 224227858 369316472 448455716 738632944 784797503 896911432 1477265888 1569595006 1793822864 3139190012 3587645728 6278380024 12556760048 25113520096