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82438064016 = 24371122304671
BaseRepresentation
bin100110011000110110…
…0010000011110010000
321212210020202120002020
41030301230100132100
52322313121022031
6101512125451440
75645614660650
oct1146154203620
9255706676066
1082438064016
1131a64157720
1213b88410b80
137a0a28a049
143dc08a6360
152227563096
hex1331b10790

82438064016 has 80 divisors (see below), whose sum is σ = 265514815488. Its totient is φ = 21412483200.

The previous prime is 82438063993. The next prime is 82438064017. The reversal of 82438064016 is 61046083428.

It is a super-2 number, since 2×824380640162 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (82438064017) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11148640 + ... + 11156031.

Almost surely, 282438064016 is an apocalyptic number.

It is an amenable number.

82438064016 is an abundant number, since it is smaller than the sum of its proper divisors (183076751472).

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

82438064016 is a wasteful number, since it uses less digits than its factorization.

82438064016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22304700 (or 22304694 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 42.

The spelling of 82438064016 in words is "eighty-two billion, four hundred thirty-eight million, sixty-four thousand, sixteen".

Divisors: 1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 33 42 44 48 56 66 77 84 88 112 132 154 168 176 231 264 308 336 462 528 616 924 1232 1848 3696 22304671 44609342 66914013 89218684 133828026 156132697 178437368 245351381 267656052 312265394 356874736 468398091 490702762 535312104 624530788 736054143 936796182 981405524 1070624208 1249061576 1472108286 1717459667 1873592364 1962811048 2498123152 2944216572 3434919334 3747184728 3925622096 5152379001 5888433144 6869838668 7494369456 10304758002 11776866288 13739677336 20609516004 27479354672 41219032008 82438064016