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72584541016 = 231313720872441
BaseRepresentation
bin100001110011001100…
…0000011001101011000
320221100112121201121221
41003212120003031120
52142123120303031
653202254341424
75146466263441
oct1034630031530
9227315551557
1072584541016
1128868098a89
12120984ba874
136ac9a37070
143727d922c8
151d4c48aa11
hex10e6603358

72584541016 has 64 divisors (see below), whose sum is σ = 147766006080. Its totient is φ = 33226475520.

The previous prime is 72584540999. The next prime is 72584541041. The reversal of 72584541016 is 61014548527.

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, 29734356 + ... + 29736796.

It is an arithmetic number, because the mean of its divisors is an integer number (2308843845).

Almost surely, 272584541016 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 72584541016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73883003040).

72584541016 is an abundant number, since it is smaller than the sum of its proper divisors (75181465064).

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

72584541016 is a wasteful number, since it uses less digits than its factorization.

72584541016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4684 (or 4680 counting only the distinct ones).

The product of its (nonzero) digits is 268800, while the sum is 43.

The spelling of 72584541016 in words is "seventy-two billion, five hundred eighty-four million, five hundred forty-one thousand, sixteen".

Divisors: 1 2 4 8 13 26 52 104 137 274 548 1096 1781 2087 2441 3562 4174 4882 7124 8348 9764 14248 16696 19528 27131 31733 54262 63466 108524 126932 217048 253864 285919 334417 571838 668834 1143676 1337668 2287352 2675336 3716947 4347421 5094367 7433894 8694842 10188734 14867788 17389684 20377468 29735576 34779368 40754936 66226771 132453542 264907084 529814168 697928279 1395856558 2791713116 5583426232 9073067627 18146135254 36292270508 72584541016