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116131335020676 = 2232193171367391801
BaseRepresentation
bin11010011001111011101110…
…111110001010000010000100
3120020012001021102002122201100
4122121323232332022002010
5110210143433231130201
61050553555424100100
733314132512344663
oct3231735676120204
9506161242078640
10116131335020676
1134004028099548
1211037045164630
134ca51a3c83031
142096b02634dda
15d65c9881a886
hex699eeef8a084

116131335020676 has 144 divisors (see below), whose sum is σ = 310206757311360. Its totient is φ = 36530529292800.

The previous prime is 116131335020653. The next prime is 116131335020681. The reversal of 116131335020676 is 676020533131611.

116131335020676 is a `hidden beast` number, since 1 + 1 + 6 + 1 + 3 + 133 + 502 + 0 + 6 + 7 + 6 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 296207976 + ... + 296599776.

It is an arithmetic number, because the mean of its divisors is an integer number (2154213592440).

Almost surely, 2116131335020676 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 116131335020676, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155103378655680).

116131335020676 is an abundant number, since it is smaller than the sum of its proper divisors (194075422290684).

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

116131335020676 is a wasteful number, since it uses less digits than its factorization.

116131335020676 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 393514 (or 393509 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 45.

The spelling of 116131335020676 in words is "one hundred sixteen trillion, one hundred thirty-one billion, three hundred thirty-five million, twenty thousand, six hundred seventy-six".

Divisors: 1 2 3 4 6 9 12 18 19 36 38 57 76 114 171 228 317 342 634 684 951 1268 1367 1902 2734 2853 3804 4101 5468 5706 6023 8202 11412 12046 12303 16404 18069 24092 24606 25973 36138 49212 51946 54207 72276 77919 103892 108414 155838 216828 233757 311676 391801 433339 467514 783602 866678 935028 1175403 1300017 1567204 1733356 2350806 2600034 3526209 3900051 4701612 5200068 7052418 7444219 7800102 8233441 14104836 14888438 15600204 16466882 22332657 24700323 29776876 32933764 44665314 49400646 66997971 74100969 89330628 98801292 124200917 133995942 148201938 248401834 267991884 296403876 372602751 496803668 535591967 745205502 1071183934 1117808253 1490411004 1606775901 2142367868 2235616506 2359817423 3213551802 4471233012 4719634846 4820327703 6427103604 7079452269 9439269692 9640655406 10176247373 14158904538 19281310812 20352494746 21238356807 28317809076 30528742119 40704989492 42476713614 61057484238 84953427228 91586226357 122114968476 169782653539 183172452714 339565307078 366344905428 509347960617 679130614156 1018695921234 1528043881851 2037391842468 3056087763702 3225870417241 6112175527404 6451740834482 9677611251723 12903481668964 19355222503446 29032833755169 38710445006892 58065667510338 116131335020676