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82333740816 = 2434611041461
BaseRepresentation
bin100110010101101111…
…0010010111100010000
321212111222110101120000
41030223132102330100
52322104414201231
6101453521450000
75643210151455
oct1145336227420
9255458411500
1082333740816
1131a102830a8
1213b594a0900
1379c1791842
143db0aab82c
15221d3076e6
hex132b792f10

82333740816 has 100 divisors (see below), whose sum is σ = 242204485644. Its totient is φ = 26994643200.

The previous prime is 82333740781. The next prime is 82333740817. The reversal of 82333740816 is 61804733328.

82333740816 is a `hidden beast` number, since 8 + 233 + 3 + 7 + 408 + 1 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 40064025600 + 42269715216 = 200160^2 + 205596^2 .

It is not an unprimeable number, because it can be changed into a prime (82333740817) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 441675 + ... + 599786.

Almost surely, 282333740816 is an apocalyptic number.

It is an amenable number.

82333740816 is an abundant number, since it is smaller than the sum of its proper divisors (159870744828).

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

82333740816 is a wasteful number, since it uses less digits than its factorization.

82333740816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1041542 (or 1041527 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 82333740816 in words is "eighty-two billion, three hundred thirty-three million, seven hundred forty thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 61 72 81 108 122 144 162 183 216 244 324 366 432 488 549 648 732 976 1098 1296 1464 1647 2196 2928 3294 4392 4941 6588 8784 9882 13176 19764 26352 39528 79056 1041461 2082922 3124383 4165844 6248766 8331688 9373149 12497532 16663376 18746298 24995064 28119447 37492596 49990128 56238894 63529121 74985192 84358341 112477788 127058242 149970384 168716682 190587363 224955576 254116484 337433364 381174726 449911152 508232968 571762089 674866728 762349452 1016465936 1143524178 1349733456 1524698904 1715286267 2287048356 3049397808 3430572534 4574096712 5145858801 6861145068 9148193424 10291717602 13722290136 20583435204 27444580272 41166870408 82333740816