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425146641524 = 2211172324712081
BaseRepresentation
bin1100010111111001011…
…01101110110001110100
31111122101012102010011022
412023330231232301310
523431200020012044
6523150520000312
742500346553463
oct6137455566164
91448335363138
10425146641524
11154338217370
126a490900098
1331125368b97
1416811bdc9da
15b0d43d53ee
hex62fcb6ec74

425146641524 has 48 divisors (see below), whose sum is σ = 896752031616. Its totient is φ = 173973043200.

The previous prime is 425146641497. The next prime is 425146641533.

425146641524 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×4251466415242 (a number of 24 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (44) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12338837 + ... + 12373244.

It is an arithmetic number, because the mean of its divisors is an integer number (18682333992).

Almost surely, 2425146641524 is an apocalyptic number.

425146641524 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

425146641524 is an abundant number, since it is smaller than the sum of its proper divisors (471605390092).

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

425146641524 is a wasteful number, since it uses less digits than its factorization.

425146641524 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24712136 (or 24712134 counting only the distinct ones).

The product of its digits is 921600, while the sum is 44.

The spelling of 425146641524 in words is "four hundred twenty-five billion, one hundred forty-six million, six hundred forty-one thousand, five hundred twenty-four".

Divisors: 1 2 4 11 17 22 23 34 44 46 68 92 187 253 374 391 506 748 782 1012 1564 4301 8602 17204 24712081 49424162 98848324 271832891 420105377 543665782 568377863 840210754 1087331564 1136755726 1680421508 2273511452 4621159147 6252156493 9242318294 9662423671 12504312986 18484636588 19324847342 25008625972 38649694684 106286660381 212573320762 425146641524