Search a number
-
+
20393471520 = 2533531197773
BaseRepresentation
bin10010111111100010…
…111010111000100000
31221122020220200201000
4102333202322320200
5313231212042040
613211342512000
71321240435122
oct227742727040
957566820630
1020393471520
118715645aa4
123b51895600
131c00071816
14db666b212
157e5590130
hex4bf8bae20

20393471520 has 384 divisors, whose sum is σ = 74149447680. Its totient is φ = 5229342720.

The previous prime is 20393471513. The next prime is 20393471537. The reversal of 20393471520 is 2517439302.

20393471520 is a `hidden beast` number, since 2 + 0 + 3 + 93 + 47 + 1 + 520 = 666.

It is a super-2 number, since 2×203934715202 (a number of 21 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 26381854 + ... + 26382626.

It is an arithmetic number, because the mean of its divisors is an integer number (193097520).

Almost surely, 220393471520 is an apocalyptic number.

20393471520 is a gapful number since it is divisible by the number (20) 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 20393471520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37074723840).

20393471520 is an abundant number, since it is smaller than the sum of its proper divisors (53755976160).

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

20393471520 is a wasteful number, since it uses less digits than its factorization.

20393471520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1025 (or 1011 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The spelling of 20393471520 in words is "twenty billion, three hundred ninety-three million, four hundred seventy-one thousand, five hundred twenty".