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690636935142 = 233711431385379
BaseRepresentation
bin10100000110011010010…
…10110100111111100110
32110000122200020102101000
422003031022310333212
542303411023411032
61245135122214130
7100616425042230
oct12031512647746
92400580212330
10690636935142
112469965aa470
12b1a24ab4346
135018570ab8b
14255d99c1250
1512e720b0e7c
hexa0cd2b4fe6

690636935142 has 128 divisors (see below), whose sum is σ = 1917897523200. Its totient is φ = 178969543200.

The previous prime is 690636935129. The next prime is 690636935143. The reversal of 690636935142 is 241539636096.

690636935142 is a `hidden beast` number, since 6 + 9 + 0 + 6 + 36 + 93 + 514 + 2 = 666.

It is a super-2 number, since 2×6906369351422 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (690636935143) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1599409 + ... + 1984787.

It is an arithmetic number, because the mean of its divisors is an integer number (14983574400).

Almost surely, 2690636935142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 690636935142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (958948761600).

690636935142 is an abundant number, since it is smaller than the sum of its proper divisors (1227260588058).

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

690636935142 is a wasteful number, since it uses less digits than its factorization.

690636935142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 385839 (or 385833 counting only the distinct ones).

The product of its (nonzero) digits is 6298560, while the sum is 54.

The spelling of 690636935142 in words is "six hundred ninety billion, six hundred thirty-six million, nine hundred thirty-five thousand, one hundred forty-two".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 27 33 42 54 63 66 77 99 126 154 189 198 231 297 378 431 462 594 693 862 1293 1386 2079 2586 3017 3879 4158 4741 6034 7758 9051 9482 11637 14223 18102 23274 27153 28446 33187 42669 54306 66374 81459 85338 99561 128007 162918 199122 256014 298683 385379 597366 770758 896049 1156137 1792098 2312274 2697653 3468411 4239169 5395306 6936822 8092959 8478338 10405233 12717507 16185918 20810466 24278877 25435014 29674183 38152521 48557754 59348366 72836631 76305042 89022549 114457563 145673262 166098349 178045098 228915126 267067647 332196698 498295047 534135294 801202941 996590094 1162688443 1494885141 1602405882 1827081839 2325376886 2989770282 3488065329 3654163678 4484655423 5481245517 6976130658 8969310846 10464195987 10962491034 12789572873 16443736551 20928391974 25579145746 31392587961 32887473102 38368718619 49331209653 62785175922 76737437238 98662419306 115106155857 230212311714 345318467571 690636935142