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2137872384 = 21132115987
BaseRepresentation
bin111111101101101…
…0101100000000000
312111222210011120200
41333123111200000
513334243404014
6552050005200
7103656421044
oct17733254000
95458704520
102137872384
119a785618a
124b7b76800
13280bbb15b
14163d08024
15c7a48a09
hex7f6d5800

2137872384 has 72 divisors (see below), whose sum is σ = 6174621180. Its totient is φ = 712617984.

The previous prime is 2137872367. The next prime is 2137872391. The reversal of 2137872384 is 4832787312.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 39562 + ... + 76425.

Almost surely, 22137872384 is an apocalyptic number.

2137872384 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2137872384 is an abundant number, since it is smaller than the sum of its proper divisors (4036748796).

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

2137872384 is a wasteful number, since it uses less digits than its factorization.

2137872384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116015 (or 115992 counting only the distinct ones).

The product of its digits is 451584, while the sum is 45.

The square root of 2137872384 is about 46237.1320909937. The cubic root of 2137872384 is about 1288.2315338044.

The spelling of 2137872384 in words is "two billion, one hundred thirty-seven million, eight hundred seventy-two thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 576 768 1024 1152 1536 2048 2304 3072 4608 6144 9216 18432 115987 231974 347961 463948 695922 927896 1043883 1391844 1855792 2087766 2783688 3711584 4175532 5567376 7423168 8351064 11134752 14846336 16702128 22269504 29692672 33404256 44539008 59385344 66808512 89078016 118770688 133617024 178156032 237541376 267234048 356312064 534468096 712624128 1068936192 2137872384