Search a number
-
+
69676981920 = 253357134212
BaseRepresentation
bin100000011100100010…
…0100101111010100000
320122211220112102101000
41000321010211322200
52120144301410140
652001551312000
75014442400660
oct1007104457240
9218756472330
1069676981920
1127605926887
121160681b600
13675554a7b0
14352db701a0
151c2c0a6a30
hex1039125ea0

69676981920 has 576 divisors, whose sum is σ = 300861630720. Its totient is φ = 14666158080.

The previous prime is 69676981909. The next prime is 69676981943. The reversal of 69676981920 is 2918967696.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

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, 165503310 + ... + 165503730.

It is an arithmetic number, because the mean of its divisors is an integer number (522329220).

Almost surely, 269676981920 is an apocalyptic number.

69676981920 is a gapful number since it is divisible by the number (60) 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 69676981920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150430815360).

69676981920 is an abundant number, since it is smaller than the sum of its proper divisors (231184648800).

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

69676981920 is a wasteful number, since it uses less digits than its factorization.

69676981920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 886 (or 451 counting only the distinct ones).

The product of its (nonzero) digits is 17635968, while the sum is 63.

The spelling of 69676981920 in words is "sixty-nine billion, six hundred seventy-six million, nine hundred eighty-one thousand, nine hundred twenty".