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8972697072 = 2432383181541
BaseRepresentation
bin10000101101101000…
…00111110111110000
3212011022201020102210
420112310013313300
5121334002301242
64042204012120
7435231444453
oct102664076760
925138636383
108972697072
113894943129
1218a4b31040
13accc10b11
1461194949a
15377ad6d9c
hex216d07df0

8972697072 has 160 divisors (see below), whose sum is σ = 24659421696. Its totient is φ = 2805580800.

The previous prime is 8972697067. The next prime is 8972697113. The reversal of 8972697072 is 2707962798.

8972697072 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16585122 + ... + 16585662.

Almost surely, 28972697072 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 8972697072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12329710848).

8972697072 is an abundant number, since it is smaller than the sum of its proper divisors (15686724624).

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

8972697072 is a wasteful number, since it uses less digits than its factorization.

8972697072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 839 (or 833 counting only the distinct ones).

The product of its (nonzero) digits is 5334336, while the sum is 57.

The square root of 8972697072 is about 94724.3214385830. The cubic root of 8972697072 is about 2077.9782709999.

The spelling of 8972697072 in words is "eight billion, nine hundred seventy-two million, six hundred ninety-seven thousand, seventy-two".

Divisors: 1 2 3 4 6 8 12 16 23 24 46 48 69 83 92 138 166 181 184 249 276 332 362 368 498 541 543 552 664 724 996 1082 1086 1104 1328 1448 1623 1909 1992 2164 2172 2896 3246 3818 3984 4163 4328 4344 5727 6492 7636 8326 8656 8688 11454 12443 12489 12984 15023 15272 16652 22908 24886 24978 25968 30046 30544 33304 37329 44903 45069 45816 49772 49956 60092 66608 74658 89806 90138 91632 97921 99544 99912 120184 134709 149316 179612 180276 195842 199088 199824 240368 269418 293763 298632 345529 359224 360552 391684 538836 587526 597264 691058 718448 721104 783368 1032769 1036587 1077672 1175052 1382116 1566736 2065538 2073174 2155344 2252183 2350104 2764232 3098307 4131076 4146348 4504366 4700208 5528464 6196614 6756549 8127443 8262152 8292696 9008732 12393228 13513098 16254886 16524304 16585392 18017464 24382329 24786456 27026196 32509772 36034928 48764658 49572912 54052392 65019544 97529316 108104784 130039088 186931189 195058632 373862378 390117264 560793567 747724756 1121587134 1495449512 2243174268 2990899024 4486348536 8972697072