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8005923116676 = 223419128232
BaseRepresentation
bin111010010000000011000…
…1101000001011010000100
31001100100200112202220110000
41310200012031001122010
52022132112304213201
625005511553001300
71454260144452042
oct164400615013204
931310615686400
108005923116676
112607324981491
12a93727553230
13460c55a81324
141d96bb197392
15dd3bbe62d86
hex74806341684

8005923116676 has 135 divisors (see below), whose sum is σ = 21064809508743. Its totient is φ = 2651443495920.

The previous prime is 8005923116671. The next prime is 8005923116717. The reversal of 8005923116676 is 6766113295008.

The square root of 8005923116676 is 2829474.

It is a perfect power (a square), and thus also a powerful number.

8005923116676 is a `hidden beast` number, since 8 + 0 + 0 + 592 + 31 + 16 + 6 + 7 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (8005923116671) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 9727731201 + ... + 9727732023.

Almost surely, 28005923116676 is an apocalyptic number.

8005923116676 is the 2829474-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8005923116676

8005923116676 is an abundant number, since it is smaller than the sum of its proper divisors (13058886392067).

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

8005923116676 is an frugal number, since it uses more digits than its factorization.

8005923116676 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2044 (or 1019 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The spelling of 8005923116676 in words is "eight trillion, five billion, nine hundred twenty-three million, one hundred sixteen thousand, six hundred seventy-six".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 191 324 382 573 764 823 1146 1646 1719 2292 2469 3292 3438 4938 5157 6876 7407 9876 10314 14814 15471 20628 22221 29628 30942 36481 44442 61884 66663 72962 88884 109443 133326 145924 157193 218886 266652 314386 328329 437772 471579 628772 656658 677329 943158 984987 1313316 1354658 1414737 1886316 1969974 2031987 2709316 2829474 2954961 3939948 4063974 4244211 5658948 5909922 6095961 8127948 8488422 11819844 12191922 12732633 16976844 18287883 24383844 25465266 30023863 36575766 50930532 54863649 60047726 73151532 90071589 109727298 120095452 129369839 180143178 219454596 258739678 270214767 360286356 388109517 517479356 540429534 776219034 810644301 1080859068 1164328551 1552438068 1621288602 2328657102 2431932903 3242577204 3492985653 4657314204 4863865806 6985971306 9727731612 10478956959 13971942612 20957913918 24709639249 41915827836 49419278498 74128917747 98838556996 148257835494 222386753241 296515670988 444773506482 667160259723 889547012964 1334320519446 2001480779169 2668641038892 4002961558338 8005923116676