Search a number
-
+
19784704680 = 233351331131347
BaseRepresentation
bin10010011011010000…
…101010001010101000
31220001211102010121000
4102123100222022220
5311004341022210
613031114515000
71300166133516
oct223320521250
956054363530
1019784704680
118432a4a504
123a01a35a60
131b33bc6760
14d598814b6
157abddeac0
hex49b42a2a8

19784704680 has 512 divisors, whose sum is σ = 74085580800. Its totient is φ = 4663526400.

The previous prime is 19784704679. The next prime is 19784704721. The reversal of 19784704680 is 8640748791.

It is a happy number.

19784704680 is a `hidden beast` number, since 1 + 97 + 8 + 470 + 4 + 6 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 57016267 + ... + 57016613.

It is an arithmetic number, because the mean of its divisors is an integer number (144698400).

Almost surely, 219784704680 is an apocalyptic number.

19784704680 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 19784704680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37042790400).

19784704680 is an abundant number, since it is smaller than the sum of its proper divisors (54300876120).

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

19784704680 is a wasteful number, since it uses less digits than its factorization.

19784704680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 542 (or 532 counting only the distinct ones).

The product of its (nonzero) digits is 2709504, while the sum is 54.

The spelling of 19784704680 in words is "nineteen billion, seven hundred eighty-four million, seven hundred four thousand, six hundred eighty".