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93033633042 = 232759107116959
BaseRepresentation
bin101011010100100111…
…1001001010100010010
322220010200012020022200
41112221033021110102
53011013102224132
6110423345344030
76502313555520
oct1265117112422
9286120166280
1093033633042
1136501073539
1216044938016
138a0848130c
144707b7b310
152647865d7c
hex15a93c9512

93033633042 has 96 divisors (see below), whose sum is σ = 236465049600. Its totient is φ = 25886080224.

The previous prime is 93033633037. The next prime is 93033633059. The reversal of 93033633042 is 24033633039.

It is a junction number, because it is equal to n+sod(n) for n = 93033632988 and 93033633006.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 736959 + ... + 853917.

It is an arithmetic number, because the mean of its divisors is an integer number (2463177600).

Almost surely, 293033633042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 93033633042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118232524800).

93033633042 is an abundant number, since it is smaller than the sum of its proper divisors (143431416558).

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

93033633042 is a wasteful number, since it uses less digits than its factorization.

93033633042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117140 (or 117137 counting only the distinct ones).

The product of its (nonzero) digits is 104976, while the sum is 36.

The spelling of 93033633042 in words is "ninety-three billion, thirty-three million, six hundred thirty-three thousand, forty-two".

Divisors: 1 2 3 6 7 9 14 18 21 42 59 63 107 118 126 177 214 321 354 413 531 642 749 826 963 1062 1239 1498 1926 2247 2478 3717 4494 6313 6741 7434 12626 13482 18939 37878 44191 56817 88382 113634 116959 132573 233918 265146 350877 397719 701754 795438 818713 1052631 1637426 2105262 2456139 4912278 6900581 7368417 12514613 13801162 14736834 20701743 25029226 37543839 41403486 48304067 62105229 75087678 87602291 96608134 112631517 124210458 144912201 175204582 225263034 262806873 289824402 434736603 525613746 738362167 788420619 869473206 1476724334 1576841238 2215086501 4430173002 5168535169 6645259503 10337070338 13290519006 15505605507 31011211014 46516816521 93033633042