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8393009616 = 2433175321563
BaseRepresentation
bin1111101000100001…
…10010100111010000
3210122220221001202000
413310100302213100
5114142102301431
63504455154000
7414662255535
oct76420624720
923586831660
108393009616
1136176a9392
121762975900
13a39aa79a4
1459896cd8c
15341c7c9e6
hex1f44329d0

8393009616 has 160 divisors (see below), whose sum is σ = 25990657920. Its totient is φ = 2583300096.

The previous prime is 8393009539. The next prime is 8393009623. The reversal of 8393009616 is 6169003938.

It is a super-2 number, since 2×83930096162 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 378451 + ... + 400013.

It is an arithmetic number, because the mean of its divisors is an integer number (162441612).

Almost surely, 28393009616 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 8393009616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12995328960).

8393009616 is an abundant number, since it is smaller than the sum of its proper divisors (17597648304).

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

8393009616 is a wasteful number, since it uses less digits than its factorization.

8393009616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21650 (or 21638 counting only the distinct ones).

The product of its (nonzero) digits is 209952, while the sum is 45.

The square root of 8393009616 is about 91613.3702905859. The cubic root of 8393009616 is about 2032.2286681819.

The spelling of 8393009616 in words is "eight billion, three hundred ninety-three million, nine thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 27 34 36 48 51 53 54 68 72 102 106 108 136 144 153 159 204 212 216 272 306 318 408 424 432 459 477 612 636 816 848 901 918 954 1224 1272 1431 1802 1836 1908 2448 2544 2703 2862 3604 3672 3816 5406 5724 7208 7344 7632 8109 10812 11448 14416 16218 21563 21624 22896 24327 32436 43126 43248 48654 64689 64872 86252 97308 129378 129744 172504 194067 194616 258756 345008 366571 388134 389232 517512 582201 733142 776268 1035024 1099713 1142839 1164402 1466284 1552536 2199426 2285678 2328804 2932568 3105072 3299139 3428517 4398852 4571356 4657608 5865136 6598278 6857034 8797704 9142712 9315216 9897417 10285551 13196556 13714068 17595408 18285424 19428263 19794834 20571102 26393112 27428136 30856653 38856526 39589668 41142204 52786224 54856272 58284789 61713306 77713052 79179336 82284408 116569578 123426612 155426104 158358672 164568816 174854367 233139156 246853224 310852208 349708734 466278312 493706448 524563101 699417468 932556624 1049126202 1398834936 2098252404 2797669872 4196504808 8393009616