Search a number
-
+
13655880000 = 26325475419
BaseRepresentation
bin11001011011111010…
…00011000101000000
31022020200221120200100
430231331003011000
5210431401130000
610135020522400
7662256031140
oct145575030500
938220846610
1013655880000
11587842a844
1227913b0400
131398234189
149378da920
1554dd0ba00
hex32df43140

13655880000 has 420 divisors, whose sum is σ = 55909728160. Its totient is φ = 3120768000.

The previous prime is 13655879933. The next prime is 13655880097. The reversal of 13655880000 is 8855631.

13655880000 is a `hidden beast` number, since 13 + 65 + 588 + 0 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (420).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 59 ways as a sum of consecutive naturals, for example, 2517291 + ... + 2522709.

Almost surely, 213655880000 is an apocalyptic number.

13655880000 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 13655880000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27954864080).

13655880000 is an abundant number, since it is smaller than the sum of its proper divisors (42253848160).

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

13655880000 is an equidigital number, since it uses as much as digits as its factorization.

13655880000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5464 (or 5436 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The spelling of 13655880000 in words is "thirteen billion, six hundred fifty-five million, eight hundred eighty thousand".