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72904037824 = 2641101327427
BaseRepresentation
bin100001111100101101…
…0110101010111000000
320222011210210211212001
41003321122311113000
52143301413202244
653254110313344
75160426045142
oct1037132652700
9228153724761
1072904037824
1128a11479732
12121674b8854
136b4aca0227
14375859cc92
151d6a54b5d4
hex10f96b55c0

72904037824 has 56 divisors (see below), whose sum is σ = 148349165328. Its totient is φ = 35526543360.

The previous prime is 72904037813. The next prime is 72904037849. The reversal of 72904037824 is 42873040927.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2644399 + ... + 2671825.

It is an arithmetic number, because the mean of its divisors is an integer number (2649092238).

Almost surely, 272904037824 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 72904037824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74174582664).

72904037824 is an abundant number, since it is smaller than the sum of its proper divisors (75445127504).

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

72904037824 is a wasteful number, since it uses less digits than its factorization.

72904037824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28493 (or 28483 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 46.

The spelling of 72904037824 in words is "seventy-two billion, nine hundred four million, thirty-seven thousand, eight hundred twenty-four".

Divisors: 1 2 4 8 16 32 41 64 82 164 328 656 1013 1312 2026 2624 4052 8104 16208 27427 32416 41533 54854 64832 83066 109708 166132 219416 332264 438832 664528 877664 1124507 1329056 1755328 2249014 2658112 4498028 8996056 17992112 27783551 35984224 55567102 71968448 111134204 222268408 444536816 889073632 1139125591 1778147264 2278251182 4556502364 9113004728 18226009456 36452018912 72904037824