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7682168960 = 27512003389
BaseRepresentation
bin1110010011110010…
…01001100010000000
3201211101100121200022
413021321021202000
5111213113401320
63310143313012
7361241234024
oct71171114200
921741317608
107682168960
113292425274
1215a48ab768
1395574120b
1452c3b2384
152ee668325
hex1c9e49880

7682168960 has 32 divisors (see below), whose sum is σ = 18365186700. Its totient is φ = 3072867328.

The previous prime is 7682168957. The next prime is 7682168971. The reversal of 7682168960 is 698612867.

It can be written as a sum of positive squares in 2 ways, for example, as 7356149824 + 326019136 = 85768^2 + 18056^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 6001055 + ... + 6002334.

Almost surely, 27682168960 is an apocalyptic number.

It is an amenable number.

7682168960 is an abundant number, since it is smaller than the sum of its proper divisors (10683017740).

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

7682168960 is a wasteful number, since it uses less digits than its factorization.

7682168960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12003408 (or 12003396 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 53.

The square root of 7682168960 is about 87647.9832055479. The cubic root of 7682168960 is about 1973.1553751540.

The spelling of 7682168960 in words is "seven billion, six hundred eighty-two million, one hundred sixty-eight thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 320 640 12003389 24006778 48013556 60016945 96027112 120033890 192054224 240067780 384108448 480135560 768216896 960271120 1536433792 1920542240 3841084480 7682168960