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82062622464 = 2837110913807
BaseRepresentation
bin100110001101101010…
…0000011111100000000
321211211002022011002120
41030123110003330000
52321031012404324
6101410554444240
75633405532114
oct1143324037400
9254732264076
1082062622464
1131891235949
1213aa2733680
13797a566994
143d86a95744
152204601179
hex131b503f00

82062622464 has 144 divisors (see below), whose sum is σ = 223530531840. Its totient is φ = 26719580160.

The previous prime is 82062622441. The next prime is 82062622471. The reversal of 82062622464 is 46422626028.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5936649 + ... + 5950455.

It is an arithmetic number, because the mean of its divisors is an integer number (1552295360).

Almost surely, 282062622464 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82062622464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111765265920).

82062622464 is an abundant number, since it is smaller than the sum of its proper divisors (141467909376).

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

82062622464 is a wasteful number, since it uses less digits than its factorization.

82062622464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14006 (or 13992 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 42.

The spelling of 82062622464 in words is "eighty-two billion, sixty-two million, six hundred twenty-two thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 71 96 109 128 142 192 213 218 256 284 327 384 426 436 568 654 768 852 872 1136 1308 1704 1744 2272 2616 3408 3488 4544 5232 6816 6976 7739 9088 10464 13632 13807 13952 15478 18176 20928 23217 27264 27614 27904 30956 41421 41856 46434 54528 55228 61912 82842 83712 92868 110456 123824 165684 185736 220912 247648 331368 371472 441824 495296 662736 742944 883648 980297 990592 1325472 1485888 1504963 1767296 1960594 1981184 2650944 2940891 2971776 3009926 3534592 3921188 4514889 5301888 5881782 5943552 6019852 7842376 9029778 10603776 11763564 12039704 15684752 18059556 23527128 24079408 31369504 36119112 47054256 48158816 62739008 72238224 94108512 96317632 106852373 125478016 144476448 188217024 192635264 213704746 250956032 288952896 320557119 376434048 385270528 427409492 577905792 641114238 752868096 854818984 1155811584 1282228476 1709637968 2564456952 3419275936 5128913904 6838551872 10257827808 13677103744 20515655616 27354207488 41031311232 82062622464