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133022015856 = 24332911539209
BaseRepresentation
bin111101111100010111…
…0101110000101110000
3110201100112101120001000
41323320232232011300
54134412114001411
6141035351242000
712416260323132
oct1737056560560
9421315346030
10133022015856
11514615073a4
1221944979300
13c70bcc6bb2
14661c9a3052
1536d8305956
hex1ef8bae170

133022015856 has 160 divisors (see below), whose sum is σ = 395374248000. Its totient is φ = 42769907712.

The previous prime is 133022015779. The next prime is 133022015923. The reversal of 133022015856 is 658510220331.

133022015856 is a `hidden beast` number, since 1 + 330 + 220 + 1 + 58 + 56 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 133022015856.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14440180 + ... + 14449388.

It is an arithmetic number, because the mean of its divisors is an integer number (2471089050).

Almost surely, 2133022015856 is an apocalyptic number.

133022015856 is a gapful number since it is divisible by the number (16) 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 133022015856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197687124000).

133022015856 is an abundant number, since it is smaller than the sum of its proper divisors (262352232144).

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

133022015856 is a wasteful number, since it uses less digits than its factorization.

133022015856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10408 (or 10396 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The spelling of 133022015856 in words is "one hundred thirty-three billion, twenty-two million, fifteen thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 29 36 48 54 58 72 87 108 116 144 174 216 232 261 348 432 464 522 696 783 1044 1153 1392 1566 2088 2306 3132 3459 4176 4612 6264 6918 9209 9224 10377 12528 13836 18418 18448 20754 27627 27672 31131 33437 36836 41508 55254 55344 62262 66874 73672 82881 83016 100311 110508 124524 133748 147344 165762 166032 200622 221016 248643 249048 267061 267496 300933 331524 401244 442032 497286 498096 534122 534992 601866 663048 801183 802488 902799 994572 1068244 1203732 1326096 1602366 1604976 1805598 1989144 2136488 2403549 2407464 3204732 3611196 3978288 4272976 4807098 4814928 6409464 7210647 7222392 9614196 10617977 12818928 14421294 14444784 19228392 21235954 28842588 31853931 38456784 42471908 57685176 63707862 84943816 95561793 115370352 127415724 169887632 191123586 254831448 286685379 307921333 382247172 509662896 573370758 615842666 764494344 923763999 1146741516 1231685332 1528988688 1847527998 2293483032 2463370664 2771291997 3695055996 4586966064 4926741328 5542583994 7390111992 8313875991 11085167988 14780223984 16627751982 22170335976 33255503964 44340671952 66511007928 133022015856