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68011124769 = 337509761929
BaseRepresentation
bin111111010101110001…
…110110100000100001
320111112210221002222000
4333111301312200201
52103241321443034
651124402234213
74625244010410
oct772561664041
9214483832860
1068011124769
1126930563735
1211220955969
13654b396ac3
143412815477
151b80be9599
hexfd5c76821

68011124769 has 64 divisors (see below), whose sum is σ = 115653312000. Its totient is φ = 38694481920.

The previous prime is 68011124723. The next prime is 68011124789. The reversal of 68011124769 is 96742111086.

68011124769 is a `hidden beast` number, since 68 + 0 + 1 + 112 + 476 + 9 = 666.

It is not a de Polignac number, because 68011124769 - 27 = 68011124641 is a prime.

It is a super-2 number, since 2×680111247692 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (68011124789) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 73208497 + ... + 73209425.

It is an arithmetic number, because the mean of its divisors is an integer number (1807083000).

Almost surely, 268011124769 is an apocalyptic number.

It is an amenable number.

68011124769 is a deficient number, since it is larger than the sum of its proper divisors (47642187231).

68011124769 is a wasteful number, since it uses less digits than its factorization.

68011124769 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2215 (or 2209 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The spelling of 68011124769 in words is "sixty-eight billion, eleven million, one hundred twenty-four thousand, seven hundred sixty-nine".

Divisors: 1 3 7 9 21 27 63 189 509 761 929 1527 2283 2787 3563 4581 5327 6503 6849 8361 10689 13743 15981 19509 20547 25083 32067 47943 58527 96201 143829 175581 387349 472861 706969 1162047 1418583 2120907 2711443 3310027 3486141 4255749 4948783 6362721 8134329 9930081 10458423 12767247 14846349 19088163 24402987 29790243 44539047 73208961 89370729 133617141 359847221 1079541663 2518930547 3238624989 7556791641 9715874967 22670374923 68011124769