Search a number
-
+
69901309920 = 253513175312433
BaseRepresentation
bin100000100011001110…
…0010101011111100000
320200102112122110112110
41001012130111133200
52121124213404140
652040123355320
75023135221321
oct1010634253740
9220375573473
1069901309920
1127710515822
1211669982b40
13678cb72160
143551886448
151c41b19380
hex10467157e0

69901309920 has 384 divisors, whose sum is σ = 255833230464. Its totient is φ = 15887499264.

The previous prime is 69901309883. The next prime is 69901309927. The reversal of 69901309920 is 2990310996.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 69901309920.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (69901309927) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5616024 + ... + 5628456.

It is an arithmetic number, because the mean of its divisors is an integer number (666232371).

Almost surely, 269901309920 is an apocalyptic number.

69901309920 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 69901309920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127916615232).

69901309920 is an abundant number, since it is smaller than the sum of its proper divisors (185931920544).

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

69901309920 is a wasteful number, since it uses less digits than its factorization.

69901309920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12534 (or 12526 counting only the distinct ones).

The product of its (nonzero) digits is 236196, while the sum is 48.

The spelling of 69901309920 in words is "sixty-nine billion, nine hundred one million, three hundred nine thousand, nine hundred twenty".