Search a number
-
+
13977933480 = 23365731472
BaseRepresentation
bin11010000010010011…
…00101011010101000
31100002010221121000000
431001021211122220
5212111322332410
610231003343000
71003246321440
oct150111453250
940063847000
1013977933480
115a231a7345
122861221a60
131419b83c74
149685b1120
1556c224dc0
hex3412656a8

13977933480 has 672 divisors, whose sum is σ = 56837399040. Its totient is φ = 3026108160.

The previous prime is 13977933467. The next prime is 13977933521. The reversal of 13977933480 is 8433977931.

It is a happy number.

13977933480 is a `hidden beast` number, since 1 + 3 + 9 + 77 + 93 + 3 + 480 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 297402817 + ... + 297402863.

Almost surely, 213977933480 is an apocalyptic number.

13977933480 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 13977933480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28418699520).

13977933480 is an abundant number, since it is smaller than the sum of its proper divisors (42859465560).

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

13977933480 is an equidigital number, since it uses as much as digits as its factorization.

13977933480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 3429216, while the sum is 54.

The spelling of 13977933480 in words is "thirteen billion, nine hundred seventy-seven million, nine hundred thirty-three thousand, four hundred eighty".