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5678915472 = 2432193076761
BaseRepresentation
bin1010100100111110…
…10101111110010000
3112122202212210111200
411102133111332100
543112300243342
62335302511200
7260504661606
oct52237257620
915582783450
105678915472
11245466627a
121125a35500
136c66c8019
143bc30b876
1523386194c
hex1527d5f90

5678915472 has 120 divisors (see below), whose sum is σ = 16786529760. Its totient is φ = 1787235840.

The previous prime is 5678915449. The next prime is 5678915477. The reversal of 5678915472 is 2745198765.

5678915472 is a `hidden beast` number, since 5 + 6 + 7 + 8 + 91 + 547 + 2 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (5678915477) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 836572 + ... + 843332.

It is an arithmetic number, because the mean of its divisors is an integer number (139887748).

Almost surely, 25678915472 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 5678915472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8393264880).

5678915472 is an abundant number, since it is smaller than the sum of its proper divisors (11107614288).

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

5678915472 is a wasteful number, since it uses less digits than its factorization.

5678915472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7101 (or 7092 counting only the distinct ones).

The product of its digits is 4233600, while the sum is 54.

The square root of 5678915472 is about 75358.5792859711. The cubic root of 5678915472 is about 1784.1107149076.

The spelling of 5678915472 in words is "five billion, six hundred seventy-eight million, nine hundred fifteen thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 36 38 48 57 72 76 114 144 152 171 228 304 307 342 456 614 684 912 921 1228 1368 1842 2456 2736 2763 3684 4912 5526 5833 6761 7368 11052 11666 13522 14736 17499 20283 22104 23332 27044 34998 40566 44208 46664 52497 54088 60849 69996 81132 93328 104994 108176 121698 128459 139992 162264 209988 243396 256918 279984 324528 385377 419976 486792 513836 770754 839952 973584 1027672 1156131 1541508 2055344 2075627 2312262 3083016 4151254 4624524 6166032 6226881 8302508 9249048 12453762 16605016 18498096 18680643 24907524 33210032 37361286 39436913 49815048 74722572 78873826 99630096 118310739 149445144 157747652 236621478 298890288 315495304 354932217 473242956 630990608 709864434 946485912 1419728868 1892971824 2839457736 5678915472