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425612460504 = 2337111938331649
BaseRepresentation
bin1100011000110000111…
…10101100000111011000
31111200120122221011200010
412030120132230013120
523433123242214004
6523305040041520
742515034136350
oct6143036540730
91450518834603
10425612460504
11154557158030
126a5a09032a0
133119aa13c0a
1416857a17b60
15b11024aa89
hex63187ac1d8

425612460504 has 256 divisors, whose sum is σ = 1400094720000. Its totient is φ = 104453591040.

The previous prime is 425612460491. The next prime is 425612460551. The reversal of 425612460504 is 405064216524.

It is a super-2 number, since 2×4256124605042 (a number of 24 digits) contains 22 as substring.

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, 13432072 + ... + 13463720.

It is an arithmetic number, because the mean of its divisors is an integer number (5469120000).

Almost surely, 2425612460504 is an apocalyptic number.

425612460504 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 425612460504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (700047360000).

425612460504 is an abundant number, since it is smaller than the sum of its proper divisors (974482259496).

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

425612460504 is a wasteful number, since it uses less digits than its factorization.

425612460504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32078 (or 32074 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 39.

The spelling of 425612460504 in words is "four hundred twenty-five billion, six hundred twelve million, four hundred sixty thousand, five hundred four".