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165145661506644 = 223713971559095781
BaseRepresentation
bin100101100011001011111000…
…011111011000010001010100
3210122201202211002122101111120
4211203023320133120101110
5133121221303321203034
61343122511453203540
746533244305336540
oct4543137037302124
9718652732571446
10165145661506644
1148690977644695
1216632403a905b0
13711c22755b7c0
142cad1423b8a20
151415c3e838c49
hex9632f87d8454

165145661506644 has 96 divisors (see below), whose sum is σ = 479153788490496. Its totient is φ = 43105880125440.

The previous prime is 165145661506613. The next prime is 165145661506663. The reversal of 165145661506644 is 446605166541561.

It is a super-2 number, since 2×1651456615066442 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 779441967 + ... + 779653814.

It is an arithmetic number, because the mean of its divisors is an integer number (4991185296776).

Almost surely, 2165145661506644 is an apocalyptic number.

165145661506644 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

165145661506644 is an abundant number, since it is smaller than the sum of its proper divisors (314008126983852).

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

165145661506644 is a wasteful number, since it uses less digits than its factorization.

165145661506644 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1559095905 (or 1559095903 counting only the distinct ones).

The product of its (nonzero) digits is 62208000, while the sum is 60.

The spelling of 165145661506644 in words is "one hundred sixty-five trillion, one hundred forty-five billion, six hundred sixty-one million, five hundred six thousand, six hundred forty-four".

Divisors: 1 2 3 4 6 7 12 13 14 21 26 28 39 42 52 78 84 91 97 156 182 194 273 291 364 388 546 582 679 1092 1164 1261 1358 2037 2522 2716 3783 4074 5044 7566 8148 8827 15132 17654 26481 35308 52962 105924 1559095781 3118191562 4677287343 6236383124 9354574686 10913670467 18709149372 20268245153 21827340934 32741011401 40536490306 43654681868 60804735459 65482022802 81072980612 121609470918 130964045604 141877716071 151232290757 243218941836 283755432142 302464581514 425633148213 453696872271 567510864284 604929163028 851266296426 907393744542 1058626035299 1702532592852 1814787489084 1966019779841 2117252070598 3175878105897 3932039559682 4234504141196 5898059339523 6351756211794 7864079119364 11796118679046 12703512423588 13762138458887 23592237358092 27524276917774 41286415376661 55048553835548 82572830753322 165145661506644