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1337688704 = 27111675689
BaseRepresentation
bin100111110111011…
…1000001010000000
310110020002121221002
41033232320022000
510214422014304
6340423151132
745102111032
oct11756701200
93406077832
101337688704
116270aa360
12313ba54a8
131841a27a1
14c9931c52
157c68731e
hex4fbb8280

1337688704 has 64 divisors (see below), whose sum is σ = 2925115200. Its totient is φ = 604293120.

The previous prime is 1337688691. The next prime is 1337688733. The reversal of 1337688704 is 4078867331.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×13376887042 = 3578822137618399232, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 232292 + ... + 237980.

It is an arithmetic number, because the mean of its divisors is an integer number (45704925).

Almost surely, 21337688704 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1337688704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1462557600).

1337688704 is an abundant number, since it is smaller than the sum of its proper divisors (1587426496).

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

1337688704 is a wasteful number, since it uses less digits than its factorization.

1337688704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5881 (or 5869 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 47.

The square root of 1337688704 is about 36574.4269128034. The cubic root of 1337688704 is about 1101.8395401869.

The spelling of 1337688704 in words is "one billion, three hundred thirty-seven million, six hundred eighty-eight thousand, seven hundred four".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 128 167 176 334 352 668 704 1336 1408 1837 2672 3674 5344 5689 7348 10688 11378 14696 21376 22756 29392 45512 58784 62579 91024 117568 125158 182048 235136 250316 364096 500632 728192 950063 1001264 1900126 2002528 3800252 4005056 7600504 8010112 10450693 15201008 20901386 30402016 41802772 60804032 83605544 121608064 167211088 334422176 668844352 1337688704