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73437784056 = 233371331191631
BaseRepresentation
bin100010001100100111…
…0111010011111111000
321000120000010222001000
41010121032322133320
52200400033042211
653423054325000
75206566602460
oct1043116723770
9230500128030
1073437784056
112916579511a
12122961b9760
136c0473c4c0
1437a941aba0
151d9c32d656
hex11193ba7f8

73437784056 has 512 divisors, whose sum is σ = 260938137600. Its totient is φ = 18615744000.

The previous prime is 73437784019. The next prime is 73437784099. The reversal of 73437784056 is 65048773437.

It is a super-2 number, since 2×734377840562 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 73437783993 and 73437784011.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 116382861 + ... + 116383491.

It is an arithmetic number, because the mean of its divisors is an integer number (509644800).

Almost surely, 273437784056 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 73437784056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130469068800).

73437784056 is an abundant number, since it is smaller than the sum of its proper divisors (187500353544).

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

73437784056 is a wasteful number, since it uses less digits than its factorization.

73437784056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 888 (or 878 counting only the distinct ones).

The product of its (nonzero) digits is 11854080, while the sum is 54.

The spelling of 73437784056 in words is "seventy-three billion, four hundred thirty-seven million, seven hundred eighty-four thousand, fifty-six".