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493725433525632 = 273371119838211433
BaseRepresentation
bin111000001000010100110100…
…1000101001111010110000000
32101202010200122100210000222000
41300100221221011033112000
51004203144141440310012
64510022155530144000
7205665325335055410
oct16020515105172600
92352120570700860
10493725433525632
111333528649143a0
124745b368882000
13182651547baa59
1489cc61d2c2640
153c12de9060ddc
hex1c10a6914f580

493725433525632 has 2048 divisors, whose sum is σ = 1939106469888000. Its totient is φ = 119797279948800.

The previous prime is 493725433525591. The next prime is 493725433525691. The reversal of 493725433525632 is 236525334527394.

493725433525632 is a `hidden beast` number, since 4 + 9 + 3 + 7 + 2 + 5 + 43 + 3 + 525 + 63 + 2 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 493725433525632.

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 255 ways as a sum of consecutive naturals, for example, 344539729588 + ... + 344539731020.

It is an arithmetic number, because the mean of its divisors is an integer number (946829331000).

Almost surely, 2493725433525632 is an apocalyptic number.

493725433525632 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 493725433525632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (969553234944000).

493725433525632 is an abundant number, since it is smaller than the sum of its proper divisors (1445381036362368).

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

493725433525632 is a wasteful number, since it uses less digits than its factorization.

493725433525632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2397 (or 2379 counting only the distinct ones).

The product of its digits is 489888000, while the sum is 63.

The spelling of 493725433525632 in words is "four hundred ninety-three trillion, seven hundred twenty-five billion, four hundred thirty-three million, five hundred twenty-five thousand, six hundred thirty-two".