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133011412432032 = 25317149546993899
BaseRepresentation
bin11110001111100100100001…
…111111010011010010100000
3122102221202201000210011211210
4132033210201333103102200
5114413224333040311112
61150520333241310120
740005520540062261
oct3617444177232240
9572852630704753
10133011412432032
1139421906799012
1212b02604a95340
13592abcb5b4844
1424bbb02a44968
151059deab98b3c
hex78f921fd34a0

133011412432032 has 96 divisors (see below), whose sum is σ = 372174649560000. Its totient is φ = 41449009614848.

The previous prime is 133011412432021. The next prime is 133011412432037. The reversal of 133011412432032 is 230234214110331.

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

It is not an unprimeable number, because it can be changed into a prime (133011412432037) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 273253782 + ... + 273740117.

It is an arithmetic number, because the mean of its divisors is an integer number (3876819266250).

Almost surely, 2133011412432032 is an apocalyptic number.

133011412432032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

133011412432032 is an abundant number, since it is smaller than the sum of its proper divisors (239163237127968).

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

133011412432032 is a wasteful number, since it uses less digits than its factorization.

133011412432032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 546994078 (or 546994070 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 30.

Adding to 133011412432032 its reverse (230234214110331), we get a palindrome (363245626542363).

The spelling of 133011412432032 in words is "one hundred thirty-three trillion, eleven billion, four hundred twelve million, four hundred thirty-two thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 68 96 102 136 149 204 272 298 408 447 544 596 816 894 1192 1632 1788 2384 2533 3576 4768 5066 7152 7599 10132 14304 15198 20264 30396 40528 60792 81056 121584 243168 546993899 1093987798 1640981697 2187975596 3281963394 4375951192 6563926788 8751902384 9298896283 13127853576 17503804768 18597792566 26255707152 27896688849 37195585132 52511414304 55793377698 74391170264 81502090951 111586755396 148782340528 163004181902 223173510792 244506272853 297564681056 326008363804 446347021584 489012545706 652016727608 892694043168 978025091412 1304033455216 1385535546167 1956050182824 2608066910432 2771071092334 3912100365648 4156606638501 5542142184668 7824200731296 8313213277002 11084284369336 16626426554004 22168568738672 33252853108008 44337137477344 66505706216016 133011412432032