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42313707586260 = 2232511233775911821
BaseRepresentation
bin10011001111011111011011…
…00000101000001011010100
312112211011002000221102100200
421213233231200220023110
521021231433120230020
6225554352055340500
711625031056040455
oct1147575540501324
9175734060842320
1042313707586260
11125341628a8640
1248b481b081730
131a7c21c7c6806
14a63dcc7c712c
154d5a239ca590
hex267bed8282d4

42313707586260 has 288 divisors, whose sum is σ = 140650869864960. Its totient is φ = 10211663001600.

The previous prime is 42313707586259. The next prime is 42313707586307. The reversal of 42313707586260 is 6268570731324.

It is a happy number.

42313707586260 is a `hidden beast` number, since 4 + 2 + 3 + 1 + 3 + 7 + 0 + 7 + 5 + 8 + 626 + 0 = 666.

42313707586260 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 42313707586197 and 42313707586206.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3579531150 + ... + 3579542970.

It is an arithmetic number, because the mean of its divisors is an integer number (488371075920).

Almost surely, 242313707586260 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 42313707586260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70325434932480).

42313707586260 is an abundant number, since it is smaller than the sum of its proper divisors (98337162278700).

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

42313707586260 is a wasteful number, since it uses less digits than its factorization.

42313707586260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19839 (or 19834 counting only the distinct ones).

The product of its (nonzero) digits is 10160640, while the sum is 54.

The spelling of 42313707586260 in words is "forty-two trillion, three hundred thirteen billion, seven hundred seven million, five hundred eighty-six thousand, two hundred sixty".