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430113260628 = 223319872004293
BaseRepresentation
bin1100100001001001011…
…11111000010001010100
31112010012022222111202000
412100210233320101110
524021332443320003
6525331415515300
743034415251532
oct6204457702124
91463168874660
10430113260628
111564567a4857
126b438088b30
133173730a95c
1416b63691152
15b2c54461a3
hex6424bf8454

430113260628 has 48 divisors (see below), whose sum is σ = 1115670212160. Its totient is φ = 143298860832.

The previous prime is 430113260573. The next prime is 430113260639. The reversal of 430113260628 is 826062311034.

430113260628 is a `hidden beast` number, since 4 + 3 + 0 + 1 + 1 + 3 + 26 + 0 + 628 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 430113260592 and 430113260601.

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 15 ways as a sum of consecutive naturals, for example, 787551 + ... + 1216742.

It is an arithmetic number, because the mean of its divisors is an integer number (23243129420).

Almost surely, 2430113260628 is an apocalyptic number.

It is an amenable number.

430113260628 is an abundant number, since it is smaller than the sum of its proper divisors (685556951532).

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

430113260628 is a wasteful number, since it uses less digits than its factorization.

430113260628 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2006293 (or 2006285 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 430113260628 in words is "four hundred thirty billion, one hundred thirteen million, two hundred sixty thousand, six hundred twenty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 1987 3974 5961 7948 11922 17883 23844 35766 53649 71532 107298 214596 2004293 4008586 6012879 8017172 12025758 18038637 24051516 36077274 54115911 72154548 108231822 216463644 3982530191 7965060382 11947590573 15930120764 23895181146 35842771719 47790362292 71685543438 107528315157 143371086876 215056630314 430113260628