Search a number
-
+
90608935032 = 2332711313714249
BaseRepresentation
bin101010001100010110…
…1101010000001111000
322122212200200210221200
41110120231222001320
52441031341410112
6105343011534200
76355242145230
oct1243055520170
9278780623850
1090608935032
1135477421a90
12156888ba360
138710028a75
144557b2ccc0
152554a61cdc
hex1518b6a078

90608935032 has 384 divisors, whose sum is σ = 324380160000. Its totient is φ = 22158489600.

The previous prime is 90608934979. The next prime is 90608935033. The reversal of 90608935032 is 23053980609.

90608935032 is a `hidden beast` number, since 9 + 0 + 60 + 89 + 3 + 503 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90608935033) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6351844 + ... + 6366092.

It is an arithmetic number, because the mean of its divisors is an integer number (844740000).

Almost surely, 290608935032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 90608935032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162190080000).

90608935032 is an abundant number, since it is smaller than the sum of its proper divisors (233771224968).

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

90608935032 is a wasteful number, since it uses less digits than its factorization.

90608935032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14347 (or 14340 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 45.

The spelling of 90608935032 in words is "ninety billion, six hundred eight million, nine hundred thirty-five thousand, thirty-two".