Search a number
-
+
88320317004 = 22343197269337
BaseRepresentation
bin101001001000001001…
…1010001011001001100
322102222012020222020000
41102100103101121030
52421340000121004
6104323534524300
76244442210403
oct1222023213114
9272865228200
1088320317004
1134502575427
121514a366690
138436b3a50a
1443bbbc463a
15246db8cc39
hex14904d164c

88320317004 has 240 divisors, whose sum is σ = 242404081920. Its totient is φ = 28008529920.

The previous prime is 88320316991. The next prime is 88320317047. The reversal of 88320317004 is 40071302388.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 88320317004.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 262077924 + ... + 262078260.

It is an arithmetic number, because the mean of its divisors is an integer number (1010017008).

Almost surely, 288320317004 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 88320317004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121202040960).

88320317004 is an abundant number, since it is smaller than the sum of its proper divisors (154083764916).

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

88320317004 is a wasteful number, since it uses less digits than its factorization.

88320317004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 750 (or 739 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 88320317004 in words is "eighty-eight billion, three hundred twenty million, three hundred seventeen thousand, four".