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642700322037126 = 232791674575922107
BaseRepresentation
bin1001001000100010000101010…
…0011001000101110110000110
310010021121112212111010121121200
42102020201110121011312012
51133220000224420142001
610154524241341323330
7252242365056040233
oct22210412431056606
93107545774117550
10642700322037126
11176869748699781
12600bb765566546
13217804c371aba2
14b49cc0c1aa78a
154e4819c383086
hex2488854645d86

642700322037126 has 96 divisors (see below), whose sum is σ = 1421692515210240. Its totient is φ = 209794916343168.

The previous prime is 642700322037107. The next prime is 642700322037131. The reversal of 642700322037126 is 621730223007246.

642700322037126 is a `hidden beast` number, since 6 + 4 + 270 + 0 + 3 + 2 + 2 + 0 + 371 + 2 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 105564565 + ... + 111486671.

It is an arithmetic number, because the mean of its divisors is an integer number (14809297033440).

Almost surely, 2642700322037126 is an apocalyptic number.

642700322037126 is an abundant number, since it is smaller than the sum of its proper divisors (778992193173114).

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

642700322037126 is a wasteful number, since it uses less digits than its factorization.

642700322037126 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5922818 (or 5922815 counting only the distinct ones).

The product of its (nonzero) digits is 1016064, while the sum is 45.

The spelling of 642700322037126 in words is "six hundred forty-two trillion, seven hundred billion, three hundred twenty-two million, thirty-seven thousand, one hundred twenty-six".

Divisors: 1 2 3 6 9 18 79 158 167 237 334 457 474 501 711 914 1002 1371 1422 1503 2742 3006 4113 8226 13193 26386 36103 39579 72206 76319 79158 108309 118737 152638 216618 228957 237474 324927 457914 649854 686871 1373742 5922107 6029201 11844214 12058402 17766321 18087603 35532642 36175206 53298963 54262809 106597926 108525618 467846453 935692906 988991869 1403539359 1977983738 2706402899 2807078718 2966975607 4210618077 5412805798 5933951214 8119208697 8421236154 8900926821 16238417394 17801853642 24357626091 48715252182 78130357651 156260715302 213805829021 234391072953 427611658042 451969284133 468782145906 641417487063 703173218859 903938568266 1282834974126 1355907852399 1406346437718 1924252461189 2711815704798 3848504922378 4067723557197 8135447114394 35705573446507 71411146893014 107116720339521 214233440679042 321350161018563 642700322037126