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3744960512 = 2128910273
BaseRepresentation
bin1101111100110111…
…1001000000000000
3100122222210201001012
43133031321000000
530132202214022
61415335300052
7161542432136
oct33715710000
910588721035
103744960512
111651a29297
1288621a628
13478b36287
14277525756
1516db97de2
hexdf379000

3744960512 has 52 divisors (see below), whose sum is σ = 7573890060. Its totient is φ = 1851260928.

The previous prime is 3744960473. The next prime is 3744960529. The reversal of 3744960512 is 2150694473.

It can be written as a sum of positive squares in 2 ways, for example, as 778633216 + 2966327296 = 27904^2 + 54464^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 3744960512.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 359408 + ... + 369680.

Almost surely, 23744960512 is an apocalyptic number.

3744960512 is a gapful number since it is divisible by the number (32) 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 3744960512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3786945030).

3744960512 is an abundant number, since it is smaller than the sum of its proper divisors (3828929548).

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

3744960512 is an equidigital number, since it uses as much as digits as its factorization.

3744960512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10386 (or 10364 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 41.

The square root of 3744960512 is about 61196.0824889960. The cubic root of 3744960512 is about 1552.9199916158.

The spelling of 3744960512 in words is "three billion, seven hundred forty-four million, nine hundred sixty thousand, five hundred twelve".

Divisors: 1 2 4 8 16 32 64 89 128 178 256 356 512 712 1024 1424 2048 2848 4096 5696 10273 11392 20546 22784 41092 45568 82184 91136 164368 182272 328736 364544 657472 914297 1314944 1828594 2629888 3657188 5259776 7314376 10519552 14628752 21039104 29257504 42078208 58515008 117030016 234060032 468120064 936240128 1872480256 3744960512