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72682930544 = 2475320875867
BaseRepresentation
bin100001110110000111…
…1011000000101110000
320221121101202102200112
41003230033120011300
52142323312234134
653220131240452
75152102500410
oct1035417300560
9227541672615
1072682930544
112890868a544
1212105449128
136b14235813
143737084640
151d55e231ce
hex10ec3d8170

72682930544 has 80 divisors (see below), whose sum is σ = 164083926528. Its totient is φ = 30542244096.

The previous prime is 72682930519. The next prime is 72682930609. The reversal of 72682930544 is 44503928627.

It is a junction number, because it is equal to n+sod(n) for n = 72682930492 and 72682930501.

It is a congruent number.

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, 12385499 + ... + 12391365.

Almost surely, 272682930544 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 72682930544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82041963264).

72682930544 is an abundant number, since it is smaller than the sum of its proper divisors (91400995984).

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

72682930544 is a wasteful number, since it uses less digits than its factorization.

72682930544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8022 (or 8016 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 50.

The spelling of 72682930544 in words is "seventy-two billion, six hundred eighty-two million, nine hundred thirty thousand, five hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 53 56 106 112 212 371 424 742 848 1484 2087 2968 4174 5867 5936 8348 11734 14609 16696 23468 29218 33392 41069 46936 58436 82138 93872 110611 116872 164276 221222 233744 310951 328552 442444 621902 657104 774277 884888 1243804 1548554 1769776 2176657 2487608 3097108 4353314 4975216 6194216 8706628 12244429 12388432 17413256 24488858 34826512 48977716 85711003 97955432 171422006 195910864 342844012 648954737 685688024 1297909474 1371376048 2595818948 4542683159 5191637896 9085366318 10383275792 18170732636 36341465272 72682930544