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54114000985 = 51119315572999
BaseRepresentation
bin110010011001011100…
…100010000001011001
312011200022001002000201
4302121130202001121
51341311141012420
640505402502201
73623665263502
oct623134420131
9164608032021
1054114000985
1120a49a40970
12a5a2804961
135145197935
142894c7bba9
15161ab3810a
hexc99722059

54114000985 has 64 divisors (see below), whose sum is σ = 77137920000. Its totient is φ = 36004780800.

The previous prime is 54114000937. The next prime is 54114000991. The reversal of 54114000985 is 58900041145.

It is not a de Polignac number, because 54114000985 - 235 = 19754262617 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 18042516 + ... + 18045514.

It is an arithmetic number, because the mean of its divisors is an integer number (1205280000).

Almost surely, 254114000985 is an apocalyptic number.

54114000985 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

54114000985 is the 189937-th pentagonal number.

It is an amenable number.

54114000985 is a deficient number, since it is larger than the sum of its proper divisors (23023919015).

54114000985 is a wasteful number, since it uses less digits than its factorization.

54114000985 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3622.

The product of its (nonzero) digits is 28800, while the sum is 37.

The spelling of 54114000985 in words is "fifty-four billion, one hundred fourteen million, nine hundred eighty-five", and thus it is an aban number.

Divisors: 1 5 11 19 31 55 95 155 209 341 557 589 1045 1705 2785 2945 2999 6127 6479 10583 14995 17267 30635 32395 32989 52915 56981 86335 92969 116413 164945 189937 284905 328073 464845 582065 626791 949685 1022659 1640365 1670443 1766411 3133955 3608803 5113295 8352215 8832055 18044015 18374873 19430521 31738417 51783733 91874365 97152605 158692085 258918665 349122587 569621063 983890927 1745612935 2848105315 4919454635 10822800197 54114000985