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25320112512 = 2732914511567
BaseRepresentation
bin10111100101001100…
…100100000110000000
32102100121020222121220
4113211030210012000
5403323422100022
615344253515040
71554312256002
oct274514440600
972317228556
1025320112512
11a8135a8322
124aa77a2a80
1325069569c6
141322ab4372
159d2d5585c
hex5e5324180

25320112512 has 128 divisors (see below), whose sum is σ = 69668121600. Its totient is φ = 8138188800.

The previous prime is 25320112501. The next prime is 25320112547. The reversal of 25320112512 is 21521102352.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×253201125122 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16157553 + ... + 16159119.

It is an arithmetic number, because the mean of its divisors is an integer number (544282200).

Almost surely, 225320112512 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 25320112512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34834060800).

25320112512 is an abundant number, since it is smaller than the sum of its proper divisors (44348009088).

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

25320112512 is a wasteful number, since it uses less digits than its factorization.

25320112512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3064 (or 3052 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 24.

Adding to 25320112512 its reverse (21521102352), we get a palindrome (46841214864).

The spelling of 25320112512 in words is "twenty-five billion, three hundred twenty million, one hundred twelve thousand, five hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 29 32 48 58 64 87 96 116 128 174 192 232 348 384 464 696 928 1392 1451 1567 1856 2784 2902 3134 3712 4353 4701 5568 5804 6268 8706 9402 11136 11608 12536 17412 18804 23216 25072 34824 37608 42079 45443 46432 50144 69648 75216 84158 90886 92864 100288 126237 136329 139296 150432 168316 181772 185728 200576 252474 272658 278592 300864 336632 363544 504948 545316 557184 601728 673264 727088 1009896 1090632 1346528 1454176 2019792 2181264 2273717 2693056 2908352 4039584 4362528 4547434 5386112 5816704 6821151 8079168 8725056 9094868 13642302 16158336 17450112 18189736 27284604 36379472 54569208 65937793 72758944 109138416 131875586 145517888 197813379 218276832 263751172 291035776 395626758 436553664 527502344 791253516 873107328 1055004688 1582507032 2110009376 3165014064 4220018752 6330028128 8440037504 12660056256 25320112512