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133996683456 = 2633194081283
BaseRepresentation
bin111110011001011010…
…0110010000011000000
3110210212110101210122000
41330302310302003000
54143411122332311
6141320205544000
712452364005466
oct1746264620300
9423773353560
10133996683456
11519116a8609
1221b77275000
13c835c0479c
1466b21d8836
153743b81056
hex1f32d320c0

133996683456 has 112 divisors (see below), whose sum is σ = 414658454400. Its totient is φ = 42314731776.

The previous prime is 133996683389. The next prime is 133996683481. The reversal of 133996683456 is 654386699331.

133996683456 is a `hidden beast` number, since 1 + 3 + 39 + 96 + 68 + 3 + 456 = 666.

It is a super-2 number, since 2×1339966834562 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 133996683393 and 133996683402.

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, 2007810 + ... + 2073473.

Almost surely, 2133996683456 is an apocalyptic number.

133996683456 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

133996683456 is an abundant number, since it is smaller than the sum of its proper divisors (280661770944).

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

133996683456 is a wasteful number, since it uses less digits than its factorization.

133996683456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4081323 (or 4081307 counting only the distinct ones).

The product of its digits is 75582720, while the sum is 63.

The spelling of 133996683456 in words is "one hundred thirty-three billion, nine hundred ninety-six million, six hundred eighty-three thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 27 32 36 38 48 54 57 64 72 76 96 108 114 144 152 171 192 216 228 288 304 342 432 456 513 576 608 684 864 912 1026 1216 1368 1728 1824 2052 2736 3648 4104 5472 8208 10944 16416 32832 4081283 8162566 12243849 16325132 24487698 32650264 36731547 48975396 65300528 73463094 77544377 97950792 110194641 130601056 146926188 155088754 195901584 220389282 232633131 261202112 293852376 310177508 391803168 440778564 465266262 587704752 620355016 697899393 783606336 881557128 930532524 1175409504 1240710032 1395798786 1763114256 1861065048 2093698179 2350819008 2481420064 2791597572 3526228512 3722130096 4187396358 4962840128 5583195144 7052457024 7444260192 8374792716 11166390288 14888520384 16749585432 22332780576 33499170864 44665561152 66998341728 133996683456