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425036488800 = 2535271117193701
BaseRepresentation
bin1100010111101100010…
…01100010000001100000
31111122002112010210000210
412023312021202001200
523430433320120200
6523131543014120
742464541354510
oct6136611420140
91448075123023
10425036488800
11154291020a60
126a45ba3a340
13311085ac161
1416801327840
15b0c98c7650
hex62f6262060

425036488800 has 1152 divisors, whose sum is σ = 1838420333568. Its totient is φ = 82575360000.

The previous prime is 425036488781. The next prime is 425036488819. The reversal of 425036488800 is 8884630524.

It is an interprime number because it is at equal distance from previous prime (425036488781) and next prime (425036488819).

It is a super-2 number, since 2×4250364888002 (a number of 24 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 425036488800.

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, 606328450 + ... + 606329150.

It is an arithmetic number, because the mean of its divisors is an integer number (1595850984).

Almost surely, 2425036488800 is an apocalyptic number.

425036488800 is a gapful number since it is divisible by the number (40) 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 425036488800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (919210166784).

425036488800 is an abundant number, since it is smaller than the sum of its proper divisors (1413383844768).

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

425036488800 is a wasteful number, since it uses less digits than its factorization.

425036488800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 952 (or 939 counting only the distinct ones).

The product of its (nonzero) digits is 1474560, while the sum is 48.

The spelling of 425036488800 in words is "four hundred twenty-five billion, thirty-six million, four hundred eighty-eight thousand, eight hundred".