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90782943768 = 233211196032891
BaseRepresentation
bin101010010001100010…
…1011100101000011000
322200022211010101001200
41110203011130220120
52441410413200033
6105412145314200
76362454201306
oct1244305345030
9280284111050
1090782943768
1135556672360
1215717035960
13873a0b290a
144572ca7276
152564e85013
hex152315ca18

90782943768 has 96 divisors (see below), whose sum is σ = 282339345600. Its totient is φ = 26062084800.

The previous prime is 90782943761. The next prime is 90782943809. The reversal of 90782943768 is 86734928709.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90782943761) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3001398 + ... + 3031493.

It is an arithmetic number, because the mean of its divisors is an integer number (2941034850).

Almost surely, 290782943768 is an apocalyptic number.

It is an amenable number.

90782943768 is an abundant number, since it is smaller than the sum of its proper divisors (191556401832).

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

90782943768 is a wasteful number, since it uses less digits than its factorization.

90782943768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6032933 (or 6032926 counting only the distinct ones).

The product of its (nonzero) digits is 36578304, while the sum is 63.

The spelling of 90782943768 in words is "ninety billion, seven hundred eighty-two million, nine hundred forty-three thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 18 19 22 24 33 36 38 44 57 66 72 76 88 99 114 132 152 171 198 209 228 264 342 396 418 456 627 684 792 836 1254 1368 1672 1881 2508 3762 5016 7524 15048 6032891 12065782 18098673 24131564 36197346 48263128 54296019 66361801 72394692 108592038 114624929 132723602 144789384 199085403 217184076 229249858 265447204 343874787 398170806 434368152 458499716 530894408 597256209 687749574 796341612 916999432 1031624361 1194512418 1260874219 1375499148 1592683224 2063248722 2389024836 2521748438 2750998296 3782622657 4126497444 4778049672 5043496876 7565245314 8252994888 10086993752 11347867971 15130490628 22695735942 30260981256 45391471884 90782943768