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2465426559960 = 2332571331014409
BaseRepresentation
bin100011111000000110110…
…111111101001111011000
322201200200211000211112100
4203320012313331033120
5310343143144404320
65124333515243400
7343056365663220
oct43700667751730
98650624024470
102465426559960
11870644024041
12339996449560
1314b64796c000
14874820c3080
15441e873d790
hex23e06dfd3d8

2465426559960 has 768 divisors, whose sum is σ = 10020550176000. Its totient is φ = 514910822400.

The previous prime is 2465426559929. The next prime is 2465426559979. The reversal of 2465426559960 is 699556245642.

2465426559960 is a `hidden beast` number, since 2 + 4 + 6 + 54 + 26 + 559 + 9 + 6 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 559178236 + ... + 559182644.

It is an arithmetic number, because the mean of its divisors is an integer number (13047591375).

Almost surely, 22465426559960 is an apocalyptic number.

2465426559960 is a gapful number since it is divisible by the number (20) 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 2465426559960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5010275088000).

2465426559960 is an abundant number, since it is smaller than the sum of its proper divisors (7555123616040).

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

2465426559960 is a wasteful number, since it uses less digits than its factorization.

2465426559960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4573 (or 4540 counting only the distinct ones).

The product of its (nonzero) digits is 139968000, while the sum is 63.

The spelling of 2465426559960 in words is "two trillion, four hundred sixty-five billion, four hundred twenty-six million, five hundred fifty-nine thousand, nine hundred sixty".