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133357706112 = 273683508471
BaseRepresentation
bin111110000110010111…
…1010001101110000000
3110202012221001101111110
41330030233101232000
54141104033043422
6141132542243320
712430504541001
oct1741457215600
9422187041443
10133357706112
1151613a48464
1221a19286540
13c76370c997
1466513c71a8
153707a1460c
hex1f0cbd1b80

133357706112 has 64 divisors (see below), whose sum is σ = 354750744960. Its totient is φ = 44387397120.

The previous prime is 133357706107. The next prime is 133357706147. The reversal of 133357706112 is 211607753331.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8037 + ... + 516507.

It is an arithmetic number, because the mean of its divisors is an integer number (5542980390).

Almost surely, 2133357706112 is an apocalyptic number.

133357706112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 133357706112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177375372480).

133357706112 is an abundant number, since it is smaller than the sum of its proper divisors (221393038848).

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

133357706112 is an equidigital number, since it uses as much as digits as its factorization.

133357706112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 509171 (or 509159 counting only the distinct ones).

The product of its (nonzero) digits is 79380, while the sum is 39.

The spelling of 133357706112 in words is "one hundred thirty-three billion, three hundred fifty-seven million, seven hundred six thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 384 683 1366 2049 2732 4098 5464 8196 10928 16392 21856 32784 43712 65568 87424 131136 262272 508471 1016942 1525413 2033884 3050826 4067768 6101652 8135536 12203304 16271072 24406608 32542144 48813216 65084288 97626432 195252864 347285693 694571386 1041857079 1389142772 2083714158 2778285544 4167428316 5556571088 8334856632 11113142176 16669713264 22226284352 33339426528 44452568704 66678853056 133357706112