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6996687840 = 253254858811
BaseRepresentation
bin1101000010000100…
…01111101111100000
3200001121111120100200
412201002033233200
5103312123002330
63114135145200
7335245602552
oct64102175740
920047446320
106996687840
112a704a214a
121433215200
1387671649c
144a53374d2
152ae3b2a60
hex1a108fbe0

6996687840 has 72 divisors (see below), whose sum is σ = 23876202168. Its totient is φ = 1865783040.

The previous prime is 6996687839. The next prime is 6996687869. The reversal of 6996687840 is 487866996.

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

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, 2427966 + ... + 2430845.

It is an arithmetic number, because the mean of its divisors is an integer number (331613919).

Almost surely, 26996687840 is an apocalyptic number.

6996687840 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

6996687840 is an abundant number, since it is smaller than the sum of its proper divisors (16879514328).

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

6996687840 is a wasteful number, since it uses less digits than its factorization.

6996687840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4858832 (or 4858821 counting only the distinct ones).

The product of its (nonzero) digits is 31352832, while the sum is 63.

The square root of 6996687840 is about 83646.2063694463. The cubic root of 6996687840 is about 1912.6294240236.

The spelling of 6996687840 in words is "six billion, nine hundred ninety-six million, six hundred eighty-seven thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 288 360 480 720 1440 4858811 9717622 14576433 19435244 24294055 29152866 38870488 43729299 48588110 58305732 72882165 77740976 87458598 97176220 116611464 145764330 155481952 174917196 194352440 218646495 233222928 291528660 349834392 388704880 437292990 466445856 583057320 699668784 777409760 874585980 1166114640 1399337568 1749171960 2332229280 3498343920 6996687840