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1168716816 = 243317233683
BaseRepresentation
bin100010110101001…
…0011010000010000
310000110010222002000
41011222103100100
54343142414231
6311545354000
740650633441
oct10552232020
93013128060
101168716816
1154a78a273
12287498900
13158190417
14b13092c8
156c90b6e6
hex45a93410

1168716816 has 160 divisors (see below), whose sum is σ = 3572449920. Its totient is φ = 364548096.

The previous prime is 1168716811. The next prime is 1168716821. The reversal of 1168716816 is 6186178611.

It is an interprime number because it is at equal distance from previous prime (1168716811) and next prime (1168716821).

It is not an unprimeable number, because it can be changed into a prime (1168716811) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1710811 + ... + 1711493.

It is an arithmetic number, because the mean of its divisors is an integer number (22327812).

Almost surely, 21168716816 is an apocalyptic number.

1168716816 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1168716816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1786224960).

1168716816 is an abundant number, since it is smaller than the sum of its proper divisors (2403733104).

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

1168716816 is a wasteful number, since it uses less digits than its factorization.

1168716816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 950 (or 938 counting only the distinct ones).

The product of its digits is 96768, while the sum is 45.

The square root of 1168716816 is about 34186.5004936159. The cubic root of 1168716816 is about 1053.3428806840.

The spelling of 1168716816 in words is "one billion, one hundred sixty-eight million, seven hundred sixteen thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 27 34 36 48 51 54 68 72 102 108 136 144 153 204 216 233 272 306 408 432 459 466 612 683 699 816 918 932 1224 1366 1398 1836 1864 2049 2097 2448 2732 2796 3672 3728 3961 4098 4194 5464 5592 6147 6291 7344 7922 8196 8388 10928 11184 11611 11883 12294 12582 15844 16392 16776 18441 23222 23766 24588 25164 31688 32784 33552 34833 35649 36882 46444 47532 49176 50328 63376 69666 71298 73764 92888 95064 98352 100656 104499 106947 139332 142596 147528 159139 185776 190128 208998 213894 278664 285192 295056 313497 318278 417996 427788 477417 557328 570384 626994 636556 835992 855576 954834 1253988 1273112 1432251 1671984 1711152 1909668 2507976 2546224 2705363 2864502 3819336 4296753 5015952 5410726 5729004 7638672 8116089 8593506 10821452 11458008 16232178 17187012 21642904 22916016 24348267 32464356 34374024 43285808 48696534 64928712 68748048 73044801 97393068 129857424 146089602 194786136 292179204 389572272 584358408 1168716816