Search a number
-
+
20856103632 = 24327213271839
BaseRepresentation
bin10011011011000111…
…101110001011010000
31222211111102211122200
4103123013232023100
5320203130304012
613325310403200
71335555645600
oct233307561320
958744384580
1020856103632
1189327aa391
124060800500
131c74b72130
14101bc96c00
15820ec63dc
hex4db1ee2d0

20856103632 has 360 divisors, whose sum is σ = 73477797120. Its totient is φ = 5473681920.

The previous prime is 20856103603. The next prime is 20856103721. The reversal of 20856103632 is 23630165802.

It is a happy number.

20856103632 is a `hidden beast` number, since 2 + 0 + 8 + 5 + 6 + 10 + 3 + 632 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 24857869 + ... + 24858707.

It is an arithmetic number, because the mean of its divisors is an integer number (204104992).

Almost surely, 220856103632 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 20856103632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36738898560).

20856103632 is an abundant number, since it is smaller than the sum of its proper divisors (52621693488).

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

20856103632 is a wasteful number, since it uses less digits than its factorization.

20856103632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1151 (or 1135 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 20856103632 in words is "twenty billion, eight hundred fifty-six million, one hundred three thousand, six hundred thirty-two".