Search a number
-
+
99764617590 = 2325111275211523
BaseRepresentation
bin101110011101001101…
…1110100000101110110
3100112111202201200021200
41130322123310011312
53113304220230330
6113455313553330
710131155154261
oct1347233640566
9315452650250
1099764617590
1139345586890
1217402b75846
13953bb17601
144b85aabcd8
1528dd741a60
hex173a6f4176

99764617590 has 192 divisors, whose sum is σ = 285931855872. Its totient is φ = 23933145600.

The previous prime is 99764617559. The next prime is 99764617607. The reversal of 99764617590 is 9571646799.

99764617590 is a `hidden beast` number, since 9 + 9 + 7 + 6 + 4 + 617 + 5 + 9 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 65504569 + ... + 65506091.

It is an arithmetic number, because the mean of its divisors is an integer number (1489228416).

Almost surely, 299764617590 is an apocalyptic number.

99764617590 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

99764617590 is the 257895-th pentagonal number.

It is a practical number, because each smaller number is the sum of distinct divisors of 99764617590, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142965927936).

99764617590 is an abundant number, since it is smaller than the sum of its proper divisors (186167238282).

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

99764617590 is a wasteful number, since it uses less digits than its factorization.

99764617590 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2195 (or 2192 counting only the distinct ones).

The product of its (nonzero) digits is 25719120, while the sum is 63.

The spelling of 99764617590 in words is "ninety-nine billion, seven hundred sixty-four million, six hundred seventeen thousand, five hundred ninety".