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630251144426624 = 2771228275726797
BaseRepresentation
bin1000111101001101011100011…
…1100101010011010010000000
310001122112102100220010200111212
42033103113013211103102000
51130102013320433122444
610112233213444225252
7246516066615235040
oct21723270745232200
93048472326120455
10630251144426624
111728aa011462976
125a82aa8909b228
1321089574142076
14b18c465011720
154cce42a4c019e
hex23d35c7953480

630251144426624 has 64 divisors (see below), whose sum is σ = 1434958735277760. Its totient is φ = 270105387070464.

The previous prime is 630251144426623. The next prime is 630251144426699. The reversal of 630251144426624 is 426624441152036.

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (630251144426623) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 107189594 + ... + 112916390.

It is an arithmetic number, because the mean of its divisors is an integer number (22421230238715).

Almost surely, 2630251144426624 is an apocalyptic number.

630251144426624 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

630251144426624 is an abundant number, since it is smaller than the sum of its proper divisors (804707590851136).

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

630251144426624 is a wasteful number, since it uses less digits than its factorization.

630251144426624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5849645 (or 5849633 counting only the distinct ones).

The product of its (nonzero) digits is 6635520, while the sum is 50.

The spelling of 630251144426624 in words is "six hundred thirty trillion, two hundred fifty-one billion, one hundred forty-four million, four hundred twenty-six thousand, six hundred twenty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 224 448 896 122827 245654 491308 859789 982616 1719578 1965232 3439156 3930464 5726797 6878312 7860928 11453594 13756624 15721856 22907188 27513248 40087579 45814376 55026496 80175158 91628752 110052992 160350316 183257504 320700632 366515008 641401264 733030016 1282802528 2565605056 5131210112 703405295119 1406810590238 2813621180476 4923837065833 5627242360952 9847674131666 11254484721904 19695348263332 22508969443808 39390696526664 45017938887616 78781393053328 90035877775232 157562786106656 315125572213312 630251144426624