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52394173784064 = 213327317267107
BaseRepresentation
bin10111110100110111110000…
…00111011110000000000000
320212111211112001112001100100
423322123320013132000000
523331411231442042224
6303233315014322400
714015232320001000
oct1372337007360000
9225454461461310
1052394173784064
1115770276207a82
125a62412959400
132330998535418
14cd1c6a568000
1560cd5ccc9ac9
hex2fa6f81de000

52394173784064 has 2016 divisors, whose sum is σ = 192073662892800. Its totient is φ = 13749193801728.

The previous prime is 52394173784063. The next prime is 52394173784123. The reversal of 52394173784064 is 46048737149325.

52394173784064 is a `hidden beast` number, since 5 + 2 + 3 + 94 + 1 + 73 + 78 + 406 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 52394173783992 and 52394173784010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52394173784063) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 489665175499 + ... + 489665175605.

It is a 1-persistent number, because it is pandigital, but 2⋅52394173784064 = 104788347568128 is not.

Almost surely, 252394173784064 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 52394173784064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96036831446400).

52394173784064 is an abundant number, since it is smaller than the sum of its proper divisors (139679489108736).

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

52394173784064 is a wasteful number, since it uses less digits than its factorization.

52394173784064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 261 (or 203 counting only the distinct ones).

The product of its (nonzero) digits is 121927680, while the sum is 63.

The spelling of 52394173784064 in words is "fifty-two trillion, three hundred ninety-four billion, one hundred seventy-three million, seven hundred eighty-four thousand, sixty-four".