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5701612102164 = 223211671971090841
BaseRepresentation
bin101001011111000001010…
…0100000110001000010100
3202012001212011001210120200
41102332002210012020110
51221403400144232124
620043141234500500
71125633156142026
oct122760244061024
922161764053520
105701612102164
1118a90494333a0
12781016434730
133248765135c4
14159d60c12016
159d4a30b8bc9
hex52f82906214

5701612102164 has 144 divisors (see below), whose sum is σ = 16038309583296. Its totient is φ = 1693332748800.

The previous prime is 5701612102141. The next prime is 5701612102183. The reversal of 5701612102164 is 4612012161075.

5701612102164 is a `hidden beast` number, since 5 + 7 + 0 + 1 + 612 + 10 + 21 + 6 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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, 4681384 + ... + 5772224.

It is an arithmetic number, because the mean of its divisors is an integer number (111377149884).

Almost surely, 25701612102164 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 5701612102164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8019154791648).

5701612102164 is an abundant number, since it is smaller than the sum of its proper divisors (10336697481132).

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

5701612102164 is a wasteful number, since it uses less digits than its factorization.

5701612102164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1091126 (or 1091121 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The spelling of 5701612102164 in words is "five trillion, seven hundred one billion, six hundred twelve million, one hundred two thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 67 99 132 134 197 198 201 268 394 396 402 591 603 737 788 804 1182 1206 1474 1773 2167 2211 2364 2412 2948 3546 4334 4422 6501 6633 7092 8668 8844 13002 13199 13266 19503 26004 26398 26532 39006 39597 52796 78012 79194 118791 145189 158388 237582 290378 435567 475164 580756 871134 1090841 1306701 1742268 2181682 2613402 3272523 4363364 5226804 6545046 9817569 11999251 13090092 19635138 23998502 35997753 39270276 47997004 71995506 73086347 107993259 143991012 146172694 214895677 215986518 219259041 292345388 429791354 431973036 438518082 644687031 657777123 803949817 859582708 877036164 1289374062 1315554246 1607899634 1934061093 2363852447 2411849451 2578748124 2631108492 3215799268 3868122186 4727704894 4823698902 7091557341 7235548353 7736244372 9455409788 9647397804 14183114682 14398010359 14471096706 21274672023 28366229364 28796020718 28942193412 42549344046 43194031077 57592041436 85098688092 86388062154 129582093231 158378113949 172776124308 259164186462 316756227898 475134341847 518328372924 633512455796 950268683694 1425403025541 1900537367388 2850806051082 5701612102164