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3840909696 = 273213256471
BaseRepresentation
bin1110010011101111…
…1010000110000000
3100220200100102120200
43210323322012000
530331233102241
61433044005200
7164116123311
oct34473720600
910820312520
103840909696
1116a1103338
128b2390800
1349298c040
14286180608
151772ec4b6
hexe4efa180

3840909696 has 96 divisors (see below), whose sum is σ = 11902865520. Its totient is φ = 1181813760.

The previous prime is 3840909661. The next prime is 3840909707. The reversal of 3840909696 is 6969090483.

It is a happy number.

3840909696 is a `hidden beast` number, since 384 + 0 + 90 + 96 + 96 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

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, 113260 + ... + 143211.

Almost surely, 23840909696 is an apocalyptic number.

3840909696 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

3840909696 is an abundant number, since it is smaller than the sum of its proper divisors (8061955824).

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

3840909696 is a wasteful number, since it uses less digits than its factorization.

3840909696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 256504 (or 256489 counting only the distinct ones).

The product of its (nonzero) digits is 2519424, while the sum is 54.

The square root of 3840909696 is about 61975.0731826918. The cubic root of 3840909696 is about 1566.0707043232.

The spelling of 3840909696 in words is "three billion, eight hundred forty million, nine hundred nine thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 64 72 78 96 104 117 128 144 156 192 208 234 288 312 384 416 468 576 624 832 936 1152 1248 1664 1872 2496 3744 4992 7488 14976 256471 512942 769413 1025884 1538826 2051768 2308239 3077652 3334123 4103536 4616478 6155304 6668246 8207072 9232956 10002369 12310608 13336492 16414144 18465912 20004738 24621216 26672984 30007107 32828288 36931824 40009476 49242432 53345968 60014214 73863648 80018952 98484864 106691936 120028428 147727296 160037904 213383872 240056856 295454592 320075808 426767744 480113712 640151616 960227424 1280303232 1920454848 3840909696