Search a number
-
+
104374584720 = 2435576831123
BaseRepresentation
bin110000100110100110…
…1011100010110010000
3100222102001012021100000
41201031031130112100
53202224343202340
6115540553330000
710353333221550
oct1411515342620
9328361167300
10104374584720
11402a080637a
121828aa06900
139ac4c14503
1450a2041160
152aad302d30
hex184d35c590

104374584720 has 480 divisors, whose sum is σ = 416415347712. Its totient is φ = 23800905216.

The previous prime is 104374584709. The next prime is 104374584833. The reversal of 104374584720 is 27485473401.

104374584720 is a `hidden beast` number, since 1 + 0 + 43 + 7 + 4 + 584 + 7 + 20 = 666.

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

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, 92942079 + ... + 92943201.

Almost surely, 2104374584720 is an apocalyptic number.

104374584720 is a gapful number since it is divisible by the number (10) 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 104374584720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208207673856).

104374584720 is an abundant number, since it is smaller than the sum of its proper divisors (312040762992).

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

104374584720 is a wasteful number, since it uses less digits than its factorization.

104374584720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1841 (or 1823 counting only the distinct ones).

The product of its (nonzero) digits is 752640, while the sum is 45.

The spelling of 104374584720 in words is "one hundred four billion, three hundred seventy-four million, five hundred eighty-four thousand, seven hundred twenty".