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524244442425 = 352111013627293
BaseRepresentation
bin1111010000011110110…
…01110101110100111001
31212010011111101222220120
413220033121311310321
532042123034124200
61040500133443453
752606160144064
oct7501731656471
91763144358816
10524244442425
11192370358980
12857284a0589
133a588c91cb2
141b5330cd8db
15d98430b9a0
hex7a0f675d39

524244442425 has 48 divisors (see below), whose sum is σ = 946481260608. Its totient is φ = 253927801600.

The previous prime is 524244442361. The next prime is 524244442451.

524244442425 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 524244442425 - 26 = 524244442361 is a prime.

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 47 ways as a sum of consecutive naturals, for example, 522079 + ... + 1149371.

It is an arithmetic number, because the mean of its divisors is an integer number (19718359596).

Almost surely, 2524244442425 is an apocalyptic number.

524244442425 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

524244442425 is a deficient number, since it is larger than the sum of its proper divisors (422236818183).

524244442425 is a wasteful number, since it uses less digits than its factorization.

524244442425 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 628330 (or 628325 counting only the distinct ones).

The product of its digits is 1638400, while the sum is 42.

It can be divided in two parts, 524244 and 442425, that added together give a palindrome (966669).

The spelling of 524244442425 in words is "five hundred twenty-four billion, two hundred forty-four million, four hundred forty-two thousand, four hundred twenty-five".

Divisors: 1 3 5 11 15 25 33 55 75 165 275 825 1013 3039 5065 11143 15195 25325 33429 55715 75975 167145 278575 627293 835725 1881879 3136465 6900223 9409395 15682325 20700669 34501115 47046975 103503345 172505575 517516725 635447809 1906343427 3177239045 6989925899 9531717135 15886195225 20969777697 34949629495 47658585675 104848888485 174748147475 524244442425