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54113685166980 = 2233537109139917761
BaseRepresentation
bin11000100110111010100101…
…11110110101101110000100
321002121012212202112211012000
430103131102332311232010
524043044311400320410
6311031252255025300
714253404364412605
oct1423352276655604
9232535782484160
1054113685166980
111627353759930a
12609b71780b230
132426b8b34788a
14d5118b329dac
1563c94b4e8dc0
hex313752fb5b84

54113685166980 has 384 divisors, whose sum is σ = 174624616320000. Its totient is φ = 13900770754560.

The previous prime is 54113685166979. The next prime is 54113685166993. The reversal of 54113685166980 is 8966158631145.

54113685166980 is a `hidden beast` number, since 5 + 4 + 1 + 1 + 36 + 8 + 516 + 6 + 9 + 80 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3046761300 + ... + 3046779060.

It is an arithmetic number, because the mean of its divisors is an integer number (454751605000).

Almost surely, 254113685166980 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54113685166980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87312308160000).

54113685166980 is an abundant number, since it is smaller than the sum of its proper divisors (120510931153020).

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

54113685166980 is a wasteful number, since it uses less digits than its factorization.

54113685166980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19324 (or 19316 counting only the distinct ones).

The product of its (nonzero) digits is 37324800, while the sum is 63.

The spelling of 54113685166980 in words is "fifty-four trillion, one hundred thirteen billion, six hundred eighty-five million, one hundred sixty-six thousand, nine hundred eighty".