Search a number
-
+
90185814198 = 232172959281613
BaseRepresentation
bin101001111111101111…
…1100101000010110110
322121210012112001021200
41103333133211002312
52434200032023243
6105233014553330
76341613525624
oct1237737450266
9277705461250
1090185814198
113527a5a5047
121558b068846
1386734806cc
14451786a514
15252c832ad3
hex14ff7e50b6

90185814198 has 192 divisors, whose sum is σ = 218789812800. Its totient is φ = 26715709440.

The previous prime is 90185814197. The next prime is 90185814209. The reversal of 90185814198 is 89141858109.

90185814198 is a `hidden beast` number, since 9 + 0 + 18 + 581 + 41 + 9 + 8 = 666.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90185814197) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 147121740 + ... + 147122352.

It is an arithmetic number, because the mean of its divisors is an integer number (1139530275).

Almost surely, 290185814198 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 90185814198, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109394906400).

90185814198 is an abundant number, since it is smaller than the sum of its proper divisors (128603998602).

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

90185814198 is a wasteful number, since it uses less digits than its factorization.

90185814198 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1007 (or 1004 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 54.

The spelling of 90185814198 in words is "ninety billion, one hundred eighty-five million, eight hundred fourteen thousand, one hundred ninety-eight".