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933380738816 = 2813932997951
BaseRepresentation
bin11011001010100011101…
…00111100111100000000
310022020012220112022102012
431211101310330330000
5110243030432120231
61552442244312052
7124302021242531
oct15452164747400
93266186468365
10933380738816
1132a932103a49
12130a8b3a2628
136a02c391c76
1433266826688
151942cd55e2b
hexd951d3cf00

933380738816 has 72 divisors (see below), whose sum is σ = 1877324064000. Its totient is φ = 463134182400.

The previous prime is 933380738791. The next prime is 933380738827. The reversal of 933380738816 is 618837083339.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 117387641 + ... + 117395591.

Almost surely, 2933380738816 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 933380738816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (938662032000).

933380738816 is an abundant number, since it is smaller than the sum of its proper divisors (943943325184).

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

933380738816 is a wasteful number, since it uses less digits than its factorization.

933380738816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11405 (or 11391 counting only the distinct ones).

The product of its (nonzero) digits is 15676416, while the sum is 59.

The spelling of 933380738816 in words is "nine hundred thirty-three billion, three hundred eighty million, seven hundred thirty-eight thousand, eight hundred sixteen".

Divisors: 1 2 4 8 16 32 64 128 139 256 278 556 1112 2224 3299 4448 6598 7951 8896 13196 15902 17792 26392 31804 35584 52784 63608 105568 127216 211136 254432 422272 458561 508864 844544 917122 1017728 1105189 1834244 2035456 2210378 3668488 4420756 7336976 8841512 14673952 17683024 26230349 29347904 35366048 52460698 58695808 70732096 104921396 117391616 141464192 209842792 282928384 419685584 839371168 1678742336 3357484672 3646018511 6714969344 7292037022 14584074044 29168148088 58336296176 116672592352 233345184704 466690369408 933380738816