Search a number
-
+
13876837380 = 2234573313697
BaseRepresentation
bin11001110110001111…
…11011110000000100
31022211002201101020000
430323013323300010
5211404432244010
610212552441300
71000611112560
oct147307736004
938732641200
1013876837380
11598112734a
1228333a9230
131401c485a3
14958db66a0
155634057c0
hex33b1fbc04

13876837380 has 240 divisors, whose sum is σ = 49914834816. Its totient is φ = 3161410560.

The previous prime is 13876837379. The next prime is 13876837391. The reversal of 13876837380 is 8373867831.

13876837380 is a `hidden beast` number, since 138 + 7 + 68 + 373 + 80 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 3751692 + ... + 3755388.

Almost surely, 213876837380 is an apocalyptic number.

13876837380 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 13876837380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24957417408).

13876837380 is an abundant number, since it is smaller than the sum of its proper divisors (36037997436).

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

13876837380 is a wasteful number, since it uses less digits than its factorization.

13876837380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4056 (or 4045 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 54.

The spelling of 13876837380 in words is "thirteen billion, eight hundred seventy-six million, eight hundred thirty-seven thousand, three hundred eighty".