Search a number
-
+
90768493816 = 237111311334727
BaseRepresentation
bin101010010001000111…
…0010100110011111000
322200021210221020110021
41110202032110303320
52441343213300231
6105410511500224
76362220316210
oct1244216246370
9280253836407
1090768493816
11355494a2950
1215712227674
1387370c3750
144570dc5240
152563a7d811
hex1522394cf8

90768493816 has 64 divisors (see below), whose sum is σ = 228508116480. Its totient is φ = 32644010880.

The previous prime is 90768493807. The next prime is 90768493843. The reversal of 90768493816 is 61839486709.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5659356 + ... + 5675371.

It is an arithmetic number, because the mean of its divisors is an integer number (3570439320).

Almost surely, 290768493816 is an apocalyptic number.

It is an amenable number.

90768493816 is an abundant number, since it is smaller than the sum of its proper divisors (137739622664).

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

90768493816 is a wasteful number, since it uses less digits than its factorization.

90768493816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11334764 (or 11334760 counting only the distinct ones).

The product of its (nonzero) digits is 15676416, while the sum is 61.

The spelling of 90768493816 in words is "ninety billion, seven hundred sixty-eight million, four hundred ninety-three thousand, eight hundred sixteen".

Divisors: 1 2 4 7 8 11 13 14 22 26 28 44 52 56 77 88 91 104 143 154 182 286 308 364 572 616 728 1001 1144 2002 4004 8008 11334727 22669454 45338908 79343089 90677816 124681997 147351451 158686178 249363994 294702902 317372356 498727988 589405804 634744712 872773979 997455976 1031460157 1178811608 1620865961 1745547958 2062920314 3241731922 3491095916 4125840628 6483463844 6982191832 8251681256 11346061727 12966927688 22692123454 45384246908 90768493816