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67986808288 = 257319790727
BaseRepresentation
bin111111010100010101…
…000101110111100000
320111111010011201000121
4333110111011313200
52103214110331123
651122133130024
74624530223030
oct772425056740
9214433151017
1067986808288
1126918865373
1211214789914
136546331a59
14340d4c58c0
151b7d9e475d
hexfd4545de0

67986808288 has 48 divisors (see below), whose sum is σ = 157904861184. Its totient is φ = 28197290880.

The previous prime is 67986808277. The next prime is 67986808303. The reversal of 67986808288 is 88280868976.

It is a super-2 number, since 2×679868082882 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4888420 + ... + 4902307.

It is an arithmetic number, because the mean of its divisors is an integer number (3289684608).

Almost surely, 267986808288 is an apocalyptic number.

It is an amenable number.

67986808288 is an abundant number, since it is smaller than the sum of its proper divisors (89918052896).

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

67986808288 is a wasteful number, since it uses less digits than its factorization.

67986808288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9790775 (or 9790767 counting only the distinct ones).

The product of its (nonzero) digits is 148635648, while the sum is 70.

The spelling of 67986808288 in words is "sixty-seven billion, nine hundred eighty-six million, eight hundred eight thousand, two hundred eighty-eight".

Divisors: 1 2 4 7 8 14 16 28 31 32 56 62 112 124 217 224 248 434 496 868 992 1736 3472 6944 9790727 19581454 39162908 68535089 78325816 137070178 156651632 274140356 303512537 313303264 548280712 607025074 1096561424 1214050148 2124587759 2193122848 2428100296 4249175518 4856200592 8498351036 9712401184 16996702072 33993404144 67986808288