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2492138977335 = 335713739474877
BaseRepresentation
bin100100010000111111000…
…011101111100000110111
322211020122110011020101000
4210100333003233200313
5311312400034233320
65144512311134343
7345023345535120
oct44207703574067
98736573136330
102492138977335
11880a01534637
12342bb03743b3
13151013baba37
1488897a65047
1544c5d918c90
hex2443f0ef837

2492138977335 has 128 divisors (see below), whose sum is σ = 5102690826240. Its totient is φ = 1130429371392.

The previous prime is 2492138977331. The next prime is 2492138977337. The reversal of 2492138977335 is 5337798312942.

2492138977335 is a `hidden beast` number, since 2 + 4 + 9 + 213 + 89 + 7 + 7 + 335 = 666.

It is not a de Polignac number, because 2492138977335 - 22 = 2492138977331 is a prime.

It is a super-4 number, since 4×24921389773354 (a number of 51 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2492138977331) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 510995917 + ... + 511000793.

It is an arithmetic number, because the mean of its divisors is an integer number (39864772080).

Almost surely, 22492138977335 is an apocalyptic number.

2492138977335 is an abundant number, since it is smaller than the sum of its proper divisors (2610551848905).

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

2492138977335 is a wasteful number, since it uses less digits than its factorization.

2492138977335 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8982 (or 8976 counting only the distinct ones).

The product of its digits is 68584320, while the sum is 63.

The spelling of 2492138977335 in words is "two trillion, four hundred ninety-two billion, one hundred thirty-eight million, nine hundred seventy-seven thousand, three hundred thirty-five".

Divisors: 1 3 5 7 9 15 21 27 35 45 63 105 135 137 189 315 411 685 945 959 1233 2055 2877 3699 3947 4795 4877 6165 8631 11841 14385 14631 18495 19735 24385 25893 27629 34139 35523 43155 43893 59205 73155 82887 102417 106569 129465 131679 138145 170695 177615 219465 248661 307251 414435 512085 532845 540739 658395 668149 745983 921753 1243305 1536255 1622217 2004447 2703695 3340745 3729915 3785173 4608765 4677043 4866651 6013341 8111085 10022235 11355519 14031129 14599953 18040023 18925865 19249519 23385215 24333255 30066705 34066557 42093387 56777595 57748557 70155645 72999765 90200115 96247595 102199671 126280161 134746633 170332785 173245671 210466935 288742785 404239899 510998355 519737013 631400805 673733165 866228355 1212719697 2021199495 2598685065 2637184103 3638159091 6063598485 7911552309 13185920515 18190795455 18460288721 23734656927 39557761545 55380866163 71203970781 92301443605 118673284635 166142598489 276904330815 356019853905 498427795467 830712992445 2492138977335