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83152922925138 = 231123377918740317
BaseRepresentation
bin10010111010000010001100…
…011011101101100001010010
3101220102100020011120210110020
4102322002030123231201102
541344334141232101023
6452503531521044310
723341412642600343
oct2272021433554122
9356370204523406
1083152922925138
1124549a58220980
1293ab715786696
13375239667ac71
1416768a15000ca
15992ee9678de3
hex4ba08c6ed852

83152922925138 has 128 divisors (see below), whose sum is σ = 196890278584320. Its totient is φ = 23154035224320.

The previous prime is 83152922925109. The next prime is 83152922925143.

It is a happy number.

83152922925138 is nontrivially palindromic in base 10.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4933045 + ... + 13807272.

It is an arithmetic number, because the mean of its divisors is an integer number (1538205301440).

Almost surely, 283152922925138 is an apocalyptic number.

83152922925138 is an abundant number, since it is smaller than the sum of its proper divisors (113737355659182).

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

83152922925138 is a wasteful number, since it uses less digits than its factorization.

83152922925138 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18740472.

The product of its digits is 18662400, while the sum is 60.

The spelling of 83152922925138 in words is "eighty-three trillion, one hundred fifty-two billion, nine hundred twenty-two million, nine hundred twenty-five thousand, one hundred thirty-eight".

Divisors: 1 2 3 6 11 22 23 33 37 46 66 69 74 79 111 138 158 222 237 253 407 474 506 759 814 851 869 1221 1518 1702 1738 1817 2442 2553 2607 2923 3634 5106 5214 5451 5846 8769 9361 10902 17538 18722 19987 28083 32153 39974 56166 59961 64306 67229 96459 119922 134458 192918 201687 403374 739519 1479038 2218557 4437114 18740317 37480634 56220951 112441902 206143487 412286974 431027291 618430461 693391729 862054582 1236860922 1293081873 1386783458 1480485043 2080175187 2586163746 2960970086 4160350374 4441455129 4741300201 7627309019 8882910258 9482600402 14223900603 15254618038 15948009767 16285335473 22881927057 28447801206 31896019534 32570670946 34051155989 45763854114 47844029301 48856006419 54777946591 68102311978 95688058602 97712012838 102153467967 109555893182 164333839773 175428107437 204306935934 328667679546 350856214874 374562715879 526284322311 602557412501 749125431758 1052568644622 1123688147637 1205114825002 1259892771593 1807672237503 2247376295274 2519785543186 3615344475006 3779678314779 7559356629558 13858820487523 27717640975046 41576461462569 83152922925138