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2154093984 = 253271068499
BaseRepresentation
bin1000000001100100…
…1101110110100000
312120010022022102200
42000121031312200
513402422001414
6553425413200
7104244332250
oct20031156640
95503268380
102154093984
11a05a25769
1250149a200
1328437a833
1416612b960
15c91a0109
hex8064dda0

2154093984 has 72 divisors (see below), whose sum is σ = 7000812000. Its totient is φ = 615454848.

The previous prime is 2154093971. The next prime is 2154094013. The reversal of 2154093984 is 4893904512.

2154093984 is a `hidden beast` number, since 21 + 540 + 9 + 3 + 9 + 84 = 666.

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

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, 532234 + ... + 536265.

It is an arithmetic number, because the mean of its divisors is an integer number (97233500).

Almost surely, 22154093984 is an apocalyptic number.

2154093984 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2154093984 is an abundant number, since it is smaller than the sum of its proper divisors (4846718016).

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

2154093984 is a wasteful number, since it uses less digits than its factorization.

2154093984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1068522 (or 1068511 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The square root of 2154093984 is about 46412.2180465446. The cubic root of 2154093984 is about 1291.4815787923.

The spelling of 2154093984 in words is "two billion, one hundred fifty-four million, ninety-three thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 72 84 96 112 126 144 168 224 252 288 336 504 672 1008 2016 1068499 2136998 3205497 4273996 6410994 7479493 8547992 9616491 12821988 14958986 17095984 19232982 22438479 25643976 29917972 34191968 38465964 44876958 51287952 59835944 67315437 76931928 89753916 102575904 119671888 134630874 153863856 179507832 239343776 269261748 307727712 359015664 538523496 718031328 1077046992 2154093984