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2132868384 = 253223321991
BaseRepresentation
bin111111100100000…
…1111110100100000
312111122100221101100
41333020033310200
513332003242014
6551350434400
7103566040113
oct17710176440
95448327340
102132868384
119a4a48649
124b6362a00
1327cb585ca
141633a457a
15c73ab009
hex7f20fd20

2132868384 has 72 divisors (see below), whose sum is σ = 6329074752. Its totient is φ = 680042880.

The previous prime is 2132868337. The next prime is 2132868449. The reversal of 2132868384 is 4838682312.

2132868384 is a `hidden beast` number, since 213 + 286 + 83 + 84 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 154372 + ... + 167619.

It is an arithmetic number, because the mean of its divisors is an integer number (87903816).

Almost surely, 22132868384 is an apocalyptic number.

2132868384 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2132868384 is an abundant number, since it is smaller than the sum of its proper divisors (4196206368).

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

2132868384 is a wasteful number, since it uses less digits than its factorization.

2132868384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 322030 (or 322019 counting only the distinct ones).

The product of its digits is 442368, while the sum is 45.

The square root of 2132868384 is about 46182.9880367219. The cubic root of 2132868384 is about 1287.2256510863.

The spelling of 2132868384 in words is "two billion, one hundred thirty-two million, eight hundred sixty-eight thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 32 36 46 48 69 72 92 96 138 144 184 207 276 288 368 414 552 736 828 1104 1656 2208 3312 6624 321991 643982 965973 1287964 1931946 2575928 2897919 3863892 5151856 5795838 7405793 7727784 10303712 11591676 14811586 15455568 22217379 23183352 29623172 30911136 44434758 46366704 59246344 66652137 88869516 92733408 118492688 133304274 177739032 236985376 266608548 355478064 533217096 710956128 1066434192 2132868384