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80385725862 = 233137110715073
BaseRepresentation
bin100101011011101011…
…1001101010110100110
321200111012220222102000
41022313113031112212
52304112221211422
6100532333030130
75544014252541
oct1126727152646
9250435828360
1080385725862
1131100712692
12136b5025346
137771019280
143c680a5858
1521572b2cac
hex12b75cd5a6

80385725862 has 128 divisors (see below), whose sum is σ = 196921912320. Its totient is φ = 24156195840.

The previous prime is 80385725839. The next prime is 80385725869. The reversal of 80385725862 is 26852758308.

80385725862 is a `hidden beast` number, since 8 + 0 + 3 + 8 + 57 + 2 + 586 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 80385725799 and 80385725808.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (80385725869) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5325558 + ... + 5340630.

It is an arithmetic number, because the mean of its divisors is an integer number (1538452440).

Almost surely, 280385725862 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 80385725862, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98460956160).

80385725862 is an abundant number, since it is smaller than the sum of its proper divisors (116536186458).

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

80385725862 is a wasteful number, since it uses less digits than its factorization.

80385725862 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15275 (or 15269 counting only the distinct ones).

The product of its (nonzero) digits is 6451200, while the sum is 54.

The spelling of 80385725862 in words is "eighty billion, three hundred eighty-five million, seven hundred twenty-five thousand, eight hundred sixty-two".

Divisors: 1 2 3 6 9 13 18 26 27 39 54 71 78 107 117 142 213 214 234 321 351 426 639 642 702 923 963 1278 1391 1846 1917 1926 2769 2782 2889 3834 4173 5538 5778 7597 8307 8346 12519 15073 15194 16614 22791 24921 25038 30146 37557 45219 45582 49842 68373 75114 90438 98761 135657 136746 195949 197522 205119 271314 296283 391898 406971 410238 587847 592566 813942 888849 1070183 1175694 1612811 1763541 1777698 2140366 2666547 3210549 3225622 3527082 4838433 5290623 5333094 6421098 9631647 9676866 10581246 13912379 14515299 19263294 20966543 27824758 28894941 29030598 41737137 41933086 43545897 57789882 62899629 83474274 87091794 114509581 125211411 125799258 188698887 229019162 250422822 343528743 375634233 377397774 566096661 687057486 751268466 1030586229 1132193322 1488624553 2061172458 2977249106 3091758687 4465873659 6183517374 8931747318 13397620977 26795241954 40192862931 80385725862