Search a number
-
+
14779015020 = 223257112315359
BaseRepresentation
bin11011100001110010…
…11101111101101100
31102010222022202021200
431300321131331230
5220231411440040
610442301325500
71032144361230
oct156071357554
942128282250
1014779015020
1162a4406800
122a45566890
131516b25203
14a02b3c5c0
155b7712630
hex370e5df6c

14779015020 has 864 divisors, whose sum is σ = 60232273920. Its totient is φ = 2866406400.

The previous prime is 14779015007. The next prime is 14779015039. The reversal of 14779015020 is 2051097741.

It is a happy number.

14779015020 is a `hidden beast` number, since 147 + 7 + 9 + 0 + 1 + 502 + 0 = 666.

It is a super-2 number, since 2×147790150202 (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 287 ways as a sum of consecutive naturals, for example, 250491751 + ... + 250491809.

It is an arithmetic number, because the mean of its divisors is an integer number (69713280).

Almost surely, 214779015020 is an apocalyptic number.

14779015020 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 14779015020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30116136960).

14779015020 is an abundant number, since it is smaller than the sum of its proper divisors (45453258900).

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

14779015020 is a wasteful number, since it uses less digits than its factorization.

14779015020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187 (or 171 counting only the distinct ones).

The product of its (nonzero) digits is 17640, while the sum is 36.

The spelling of 14779015020 in words is "fourteen billion, seven hundred seventy-nine million, fifteen thousand, twenty".