Search a number
-
+
90532075968 = 26322337184693
BaseRepresentation
bin101010001010000100…
…0011101100111000000
322122200100001222010200
41110110020131213000
52440402202412333
6105331224325200
76353316643305
oct1242410354700
9278610058120
1090532075968
1135437aa66a4
1215667013800
1386ca128229
14454b8430ac
15254ce2dc13
hex151421d9c0

90532075968 has 168 divisors, whose sum is σ = 278095972128. Its totient is φ = 28085004288.

The previous prime is 90532075951. The next prime is 90532075979. The reversal of 90532075968 is 86957023509.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 397830 + ... + 582522.

Almost surely, 290532075968 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 90532075968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139047986064).

90532075968 is an abundant number, since it is smaller than the sum of its proper divisors (187563896160).

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

90532075968 is a wasteful number, since it uses less digits than its factorization.

90532075968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 184771 (or 184758 counting only the distinct ones).

The product of its (nonzero) digits is 4082400, while the sum is 54.

The spelling of 90532075968 in words is "ninety billion, five hundred thirty-two million, seventy-five thousand, nine hundred sixty-eight".