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54017386704 = 2433831506509
BaseRepresentation
bin110010010011101011…
…111110100011010000
312011102120020120011000
4302103223332203100
51341111422333304
640452032022000
73621413132301
oct622353764320
9164376216130
1054017386704
11209aa452156
12a576391900
13512b16b218
1428860cc7a8
151612401939
hexc93afe8d0

54017386704 has 80 divisors (see below), whose sum is σ = 156918081600. Its totient is φ = 17788846464.

The previous prime is 54017386699. The next prime is 54017386741. The reversal of 54017386704 is 40768371045.

54017386704 is a `hidden beast` number, since 540 + 1 + 7 + 38 + 6 + 70 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 54017386704.

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 15 ways as a sum of consecutive naturals, for example, 717399 + ... + 789110.

It is an arithmetic number, because the mean of its divisors is an integer number (1961476020).

Almost surely, 254017386704 is an apocalyptic number.

54017386704 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

54017386704 is an abundant number, since it is smaller than the sum of its proper divisors (102900694896).

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

54017386704 is a wasteful number, since it uses less digits than its factorization.

54017386704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1506609 (or 1506597 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The spelling of 54017386704 in words is "fifty-four billion, seventeen million, three hundred eighty-six thousand, seven hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 83 108 144 166 216 249 332 432 498 664 747 996 1328 1494 1992 2241 2988 3984 4482 5976 8964 11952 17928 35856 1506509 3013018 4519527 6026036 9039054 12052072 13558581 18078108 24104144 27117162 36156216 40675743 54234324 72312432 81351486 108468648 125040247 162702972 216937296 250080494 325405944 375120741 500160988 650811888 750241482 1000321976 1125362223 1500482964 2000643952 2250724446 3000965928 3376086669 4501448892 6001931856 6752173338 9002897784 13504346676 18005795568 27008693352 54017386704