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133416795756 = 223291578113011
BaseRepresentation
bin111110001000001000…
…0101011111001101100
3110202101001020110020210
41330100100223321230
54141214144431011
6141142452542420
712432123024006
oct1742020537154
9422331213223
10133416795756
1151644337382
1221a35021a10
13c772a2b47a
1466591a9376
15370ccd76a6
hex1f1042be6c

133416795756 has 96 divisors (see below), whose sum is σ = 324599143680. Its totient is φ = 42598483200.

The previous prime is 133416795739. The next prime is 133416795781. The reversal of 133416795756 is 657597614331.

It is a super-2 number, since 2×1334167957562 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 133416795696 and 133416795705.

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, 44308291 + ... + 44311301.

It is an arithmetic number, because the mean of its divisors is an integer number (3381241080).

Almost surely, 2133416795756 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 133416795756, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162299571840).

133416795756 is an abundant number, since it is smaller than the sum of its proper divisors (191182347924).

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

133416795756 is a wasteful number, since it uses less digits than its factorization.

133416795756 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4015 (or 4013 counting only the distinct ones).

The product of its digits is 14288400, while the sum is 57.

The spelling of 133416795756 in words is "one hundred thirty-three billion, four hundred sixteen million, seven hundred ninety-five thousand, seven hundred fifty-six".

Divisors: 1 2 3 4 6 12 29 58 87 116 157 174 314 348 471 628 811 942 1622 1884 2433 3011 3244 4553 4866 6022 9033 9106 9732 12044 13659 18066 18212 23519 27318 36132 47038 54636 70557 87319 94076 127327 141114 174638 254654 261957 282228 349276 381981 472727 509308 523914 763962 945454 1047828 1418181 1527924 1890908 2441921 2836362 3692483 4883842 5672724 7325763 7384966 9767684 11077449 13709083 14651526 14769932 22154898 27418166 29303052 41127249 44309796 54836332 70815709 82254498 141631418 164508996 212447127 283262836 383381597 424894254 766763194 849788508 1150144791 1533526388 2300289582 4600579164 11118066313 22236132626 33354198939 44472265252 66708397878 133416795756