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82942374942 = 23273175728051
BaseRepresentation
bin100110100111111000…
…0000011010000011110
321221002101201012121200
41031033300003100132
52324331221444232
6102034142540330
75664250361130
oct1151760032036
9257071635550
1082942374942
11321a2898a09
12140a92976a6
137a8a8c138b
14402b861050
15225697d77c
hex134fc0341e

82942374942 has 96 divisors (see below), whose sum is σ = 212293945344. Its totient is φ = 22902264000.

The previous prime is 82942374929. The next prime is 82942374953. The reversal of 82942374942 is 24947324928.

82942374942 is a `hidden beast` number, since 82 + 9 + 42 + 37 + 494 + 2 = 666.

It is a super-2 number, since 2×829423749422 (a number of 23 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a congruent number.

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, 2942817 + ... + 2970867.

It is an arithmetic number, because the mean of its divisors is an integer number (2211395264).

Almost surely, 282942374942 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82942374942, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106146972672).

82942374942 is an abundant number, since it is smaller than the sum of its proper divisors (129351570402).

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

82942374942 is a wasteful number, since it uses less digits than its factorization.

82942374942 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28854 (or 28851 counting only the distinct ones).

The product of its digits is 6967296, while the sum is 54.

The spelling of 82942374942 in words is "eighty-two billion, nine hundred forty-two million, three hundred seventy-four thousand, nine hundred forty-two".

Divisors: 1 2 3 6 7 9 14 18 21 31 42 62 63 93 126 186 217 279 434 558 651 757 1302 1514 1953 2271 3906 4542 5299 6813 10598 13626 15897 23467 28051 31794 46934 47691 56102 70401 84153 95382 140802 164269 168306 196357 211203 252459 328538 392714 422406 492807 504918 589071 869581 985614 1178142 1478421 1739162 1767213 2608743 2956842 3534426 5217486 6087067 7826229 12174134 15652458 18261201 21234607 36522402 42469214 54783603 63703821 109567206 127407642 148642249 191111463 297284498 382222926 445926747 658272817 891853494 1316545634 1337780241 1974818451 2675560482 3949636902 4607909719 5924455353 9215819438 11848910706 13823729157 27647458314 41471187471 82942374942