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13751377920 = 2133257732
BaseRepresentation
bin11001100111010010…
…10110000000000000
31022111100122101012100
430303221112000000
5211130323043140
610152311430400
7664525532550
oct146351260000
938440571170
1013751377920
115917326845
1227b9385400
1313b1c5c717
14946479160
155573c2530
hex333a56000

13751377920 has 504 divisors, whose sum is σ = 55234825776. Its totient is φ = 3100114944.

The previous prime is 13751377919. The next prime is 13751377943. The reversal of 13751377920 is 2977315731.

It is a tau number, because it is divible by the number of its divisors (504).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 188375004 + ... + 188375076.

Almost surely, 213751377920 is an apocalyptic number.

13751377920 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 13751377920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27617412888).

13751377920 is an abundant number, since it is smaller than the sum of its proper divisors (41483447856).

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

13751377920 is an frugal number, since it uses more digits than its factorization.

13751377920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 190 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 277830, while the sum is 45.

The spelling of 13751377920 in words is "thirteen billion, seven hundred fifty-one million, three hundred seventy-seven thousand, nine hundred twenty".