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2129088384 = 27321848167
BaseRepresentation
bin111111011100111…
…0100111110000000
312111101020220012100
41332321310332000
513330021312014
6551133430400
7103521644523
oct17671647600
95441226170
102129088384
119a28a6685
124b503b400
1327c133c17
14162a9cbba
15c6db1009
hex7ee74f80

2129088384 has 48 divisors (see below), whose sum is σ = 6126676920. Its totient is φ = 709695744.

The previous prime is 2129088319. The next prime is 2129088407. The reversal of 2129088384 is 4838809212.

It is a tau number, because it is divible by the number of its divisors (48).

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, 922932 + ... + 925235.

Almost surely, 22129088384 is an apocalyptic number.

2129088384 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2129088384 is an abundant number, since it is smaller than the sum of its proper divisors (3997588536).

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

2129088384 is a wasteful number, since it uses less digits than its factorization.

2129088384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1848187 (or 1848172 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The square root of 2129088384 is about 46142.0457283810. The cubic root of 2129088384 is about 1286.4647680318.

The spelling of 2129088384 in words is "two billion, one hundred twenty-nine million, eighty-eight thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 1152 1848167 3696334 5544501 7392668 11089002 14785336 16633503 22178004 29570672 33267006 44356008 59141344 66534012 88712016 118282688 133068024 177424032 236565376 266136048 354848064 532272096 709696128 1064544192 2129088384