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32125139956 = 227131313971697
BaseRepresentation
bin11101111010110011…
…101011101111110100
310001220212010012100101
4131322303223233310
51011243013434311
622431425123444
72215043120110
oct357263535764
9101825105311
1032125139956
1112695893148
126286789584
13304c745a70
1417aa79a740
15c804a9ec1
hex77acebbf4

32125139956 has 96 divisors (see below), whose sum is σ = 69937604352. Its totient is φ = 12572651520.

The previous prime is 32125139953. The next prime is 32125140043. The reversal of 32125139956 is 65993152123.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32125139951) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18929700 + ... + 18931396.

It is an arithmetic number, because the mean of its divisors is an integer number (728516712).

Almost surely, 232125139956 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 32125139956, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34968802176).

32125139956 is an abundant number, since it is smaller than the sum of its proper divisors (37812464396).

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

32125139956 is a wasteful number, since it uses less digits than its factorization.

32125139956 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2249 (or 2247 counting only the distinct ones).

The product of its digits is 437400, while the sum is 46.

The spelling of 32125139956 in words is "thirty-two billion, one hundred twenty-five million, one hundred thirty-nine thousand, nine hundred fifty-six".

Divisors: 1 2 4 7 13 14 26 28 52 91 131 182 262 364 397 524 794 917 1588 1697 1703 1834 2779 3394 3406 3668 5161 5558 6788 6812 10322 11116 11879 11921 20644 22061 23758 23842 36127 44122 47516 47684 52007 72254 88244 104014 144508 154427 208028 222307 308854 364049 444614 617708 673709 676091 728098 889228 1347418 1352182 1456196 1556149 2694836 2704364 2889991 3112298 4715963 4732637 5779982 6224596 8758217 9431926 9465274 11559964 17516434 18863852 18930548 20229937 35032868 40459874 61307519 80919748 88255879 122615038 176511758 245230076 353023516 617791153 1147326427 1235582306 2294652854 2471164612 4589305708 8031284989 16062569978 32125139956