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12932955936 = 253323650813
BaseRepresentation
bin11000000101101110…
…10011111100100000
31020101022122020022000
430002313103330200
5202441314042221
65535154044000
7635330211615
oct140267237440
936338566260
1012932955936
11553735323a
12260b279600
1312b1529764
148a98b650c
1550a60be26
hex302dd3f20

12932955936 has 96 divisors (see below), whose sum is σ = 39361230720. Its totient is φ = 4123544832.

The previous prime is 12932955923. The next prime is 12932955941. The reversal of 12932955936 is 63955923921.

It is a happy number.

12932955936 is a `hidden beast` number, since 1 + 29 + 3 + 29 + 5 + 593 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×129329559362 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 305535 + ... + 345278.

It is an arithmetic number, because the mean of its divisors is an integer number (410012820).

Almost surely, 212932955936 is an apocalyptic number.

12932955936 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

12932955936 is an abundant number, since it is smaller than the sum of its proper divisors (26428274784).

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

12932955936 is a wasteful number, since it uses less digits than its factorization.

12932955936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 650855 (or 650841 counting only the distinct ones).

The product of its digits is 3936600, while the sum is 54.

The spelling of 12932955936 in words is "twelve billion, nine hundred thirty-two million, nine hundred fifty-five thousand, nine hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 27 32 36 46 48 54 69 72 92 96 108 138 144 184 207 216 276 288 368 414 432 552 621 736 828 864 1104 1242 1656 2208 2484 3312 4968 6624 9936 19872 650813 1301626 1952439 2603252 3904878 5206504 5857317 7809756 10413008 11714634 14968699 15619512 17571951 20826016 23429268 29937398 31239024 35143902 44906097 46858536 59874796 62478048 70287804 89812194 93717072 119749592 134718291 140575608 179624388 187434144 239499184 269436582 281151216 359248776 404154873 478998368 538873164 562302432 718497552 808309746 1077746328 1436995104 1616619492 2155492656 3233238984 4310985312 6466477968 12932955936