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41364016316460 = 2232517219233794801
BaseRepresentation
bin10010110011110110011110…
…11111111100000000101100
312102110100202102021021201100
421121323033133330000230
520410202001134111320
6223550211115443100
711466310612324305
oct1131731737740054
9172410672237640
1041364016316460
11121a8420942322
124780759456490
131a107c12343a6
14a30059ab77ac
154bae8dc8e790
hex259ecf7fc02c

41364016316460 has 864 divisors, whose sum is σ = 146817561945600. Its totient is φ = 9380767334400.

The previous prime is 41364016316459. The next prime is 41364016316533. The reversal of 41364016316460 is 6461361046314.

41364016316460 is a `hidden beast` number, since 4 + 1 + 3 + 6 + 4 + 0 + 1 + 631 + 6 + 4 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 8615706060 + ... + 8615710860.

Almost surely, 241364016316460 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 41364016316460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73408780972800).

41364016316460 is an abundant number, since it is smaller than the sum of its proper divisors (105453545629140).

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

41364016316460 is a wasteful number, since it uses less digits than its factorization.

41364016316460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5271 (or 5249 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 45.

The spelling of 41364016316460 in words is "forty-one trillion, three hundred sixty-four billion, sixteen million, three hundred sixteen thousand, four hundred sixty".