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425761400064 = 283711135211063
BaseRepresentation
bin1100011001000010101…
…10110110010100000000
31111200222001012002100010
412030201112312110000
523433424404300224
6523331520224520
742521523121440
oct6144126662400
91450861162303
10425761400064
11154623235580
126a62276b140
13311c2831230
141686d708120
15b11d36ae29
hex63215b6500

425761400064 has 576 divisors, whose sum is σ = 1525781311488. Its totient is φ = 101788876800.

The previous prime is 425761400033. The next prime is 425761400093. The reversal of 425761400064 is 460004167524.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a junction number, because it is equal to n+sod(n) for n = 425761399995 and 425761400031.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 400527597 + ... + 400528659.

It is an arithmetic number, because the mean of its divisors is an integer number (2648925888).

Almost surely, 2425761400064 is an apocalyptic number.

425761400064 is a gapful number since it is divisible by the number (44) 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 425761400064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (762890655744).

425761400064 is an abundant number, since it is smaller than the sum of its proper divisors (1100019911424).

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

425761400064 is a wasteful number, since it uses less digits than its factorization.

425761400064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1634 (or 1620 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 39.

Adding to 425761400064 its reverse (460004167524), we get a palindrome (885765567588).

The spelling of 425761400064 in words is "four hundred twenty-five billion, seven hundred sixty-one million, four hundred thousand, sixty-four".