Search a number
-
+
13851720720 = 2432543541827
BaseRepresentation
bin11001110011010000…
…00111110000010000
31022202100110022122100
430321220013300100
5211332020030340
610210254240400
71000154453265
oct147150076020
938670408570
1013851720720
115968a31882
122826ab6100
1313c9993266
1495591926c
155610e3830
hex339a07c10

13851720720 has 240 divisors, whose sum is σ = 47746176192. Its totient is φ = 3596866560.

The previous prime is 13851720719. The next prime is 13851720739. The reversal of 13851720720 is 2702715831.

13851720720 is a `hidden beast` number, since 138 + 517 + 2 + 0 + 7 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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 47 ways as a sum of consecutive naturals, for example, 16748947 + ... + 16749773.

Almost surely, 213851720720 is an apocalyptic number.

13851720720 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 13851720720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23873088096).

13851720720 is an abundant number, since it is smaller than the sum of its proper divisors (33894455472).

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

13851720720 is a wasteful number, since it uses less digits than its factorization.

13851720720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1430 (or 1421 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 36.

The spelling of 13851720720 in words is "thirteen billion, eight hundred fifty-one million, seven hundred twenty thousand, seven hundred twenty".