Search a number
-
+
94372426080 = 2534523734337
BaseRepresentation
bin101011111100100001…
…0001111000101100000
3100000120222100222010000
41113321002033011200
53021233320113310
6111204252340000
76550431246312
oct1277102170540
9300528328100
1094372426080
1137028857569
1216359174600
138b8c94c64a
1447d38b97b2
1526c516a4c0
hex15f908f160

94372426080 has 480 divisors, whose sum is σ = 352378724544. Its totient is φ = 23736582144.

The previous prime is 94372426061. The next prime is 94372426123. The reversal of 94372426080 is 8062427349.

94372426080 is a `hidden beast` number, since 9 + 4 + 37 + 2 + 4 + 2 + 608 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 21757672 + ... + 21762008.

Almost surely, 294372426080 is an apocalyptic number.

94372426080 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 94372426080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176189362272).

94372426080 is an abundant number, since it is smaller than the sum of its proper divisors (258006298464).

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

94372426080 is a wasteful number, since it uses less digits than its factorization.

94372426080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4460 (or 4443 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 94372426080 in words is "ninety-four billion, three hundred seventy-two million, four hundred twenty-six thousand, eighty".