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425462683968 = 26347176311093
BaseRepresentation
bin1100011000011111000…
…11010101100101000000
31111200012020002201220000
412030033203111211000
523432321421341333
6523242125520000
742511235100150
oct6141743254500
91450166081800
10425462683968
1115448a658773
126a55a713000
133117599294a
1416841b8a760
15b102012713
hex630f8d5940

425462683968 has 560 divisors, whose sum is σ = 1529980809984. Its totient is φ = 114124308480.

The previous prime is 425462683937. The next prime is 425462683981. The reversal of 425462683968 is 869386264524.

It is a happy number.

425462683968 is a `hidden beast` number, since 4 + 2 + 5 + 462 + 6 + 83 + 96 + 8 = 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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 389260830 + ... + 389261922.

Almost surely, 2425462683968 is an apocalyptic number.

425462683968 is a gapful number since it is divisible by the number (48) 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 425462683968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (764990404992).

425462683968 is an abundant number, since it is smaller than the sum of its proper divisors (1104518126016).

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

425462683968 is a wasteful number, since it uses less digits than its factorization.

425462683968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1772 (or 1753 counting only the distinct ones).

The product of its digits is 119439360, while the sum is 63.

The spelling of 425462683968 in words is "four hundred twenty-five billion, four hundred sixty-two million, six hundred eighty-three thousand, nine hundred sixty-eight".