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8933442496 = 2611195231277
BaseRepresentation
bin10000101000111100…
…11000001111000000
3212001120211220021121
420110132120033000
5121243430124441
64034242402024
7434244002566
oct102436301700
925046756247
108933442496
113874771630
121893960314
13ac4a48664
1460a64ba36
15374430dd1
hex2147983c0

8933442496 has 112 divisors (see below), whose sum is σ = 20411602560. Its totient is φ = 3836574720.

The previous prime is 8933442491. The next prime is 8933442499. The reversal of 8933442496 is 6942443398.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8933442491) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6995010 + ... + 6996286.

Almost surely, 28933442496 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 8933442496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10205801280).

8933442496 is an abundant number, since it is smaller than the sum of its proper divisors (11478160064).

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

8933442496 is a wasteful number, since it uses less digits than its factorization.

8933442496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1842 (or 1832 counting only the distinct ones).

The product of its digits is 4478976, while the sum is 52.

The square root of 8933442496 is about 94516.8900038506. The cubic root of 8933442496 is about 2074.9435313224.

The spelling of 8933442496 in words is "eight billion, nine hundred thirty-three million, four hundred forty-two thousand, four hundred ninety-six".

Divisors: 1 2 4 8 11 16 19 22 32 38 44 64 76 88 152 176 209 304 352 418 523 608 704 836 1046 1216 1277 1672 2092 2554 3344 4184 5108 5753 6688 8368 9937 10216 11506 13376 14047 16736 19874 20432 23012 24263 28094 33472 39748 40864 46024 48526 56188 79496 81728 92048 97052 109307 112376 158992 184096 194104 218614 224752 266893 317984 368192 388208 437228 449504 533786 635968 667871 776416 874456 899008 1067572 1335742 1552832 1748912 2135144 2671484 3497824 4270288 5342968 6995648 7346581 8540576 10685936 12689549 14693162 17081152 21371872 25379098 29386324 42743744 50758196 58772648 101516392 117545296 139585039 203032784 235090592 279170078 406065568 470181184 558340156 812131136 1116680312 2233360624 4466721248 8933442496