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630201649896 = 23337131771101263
BaseRepresentation
bin10010010101110101111…
…00100000101011101000
32020020122211120211112000
421022322330200223220
540311123110244041
61201302144251000
763346661432310
oct11127274405350
92206584524460
10630201649896
112232a3447135
12a2179310a60
1347573a36870
14227053c0440
15115d6529bb6
hex92baf20ae8

630201649896 has 1024 divisors, whose sum is σ = 2345191833600. Its totient is φ = 152119296000.

The previous prime is 630201649871. The next prime is 630201649907. The reversal of 630201649896 is 698946102036.

630201649896 is a `hidden beast` number, since 6 + 30 + 20 + 16 + 498 + 96 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 2396203861 + ... + 2396204123.

It is an arithmetic number, because the mean of its divisors is an integer number (2290226400).

Almost surely, 2630201649896 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 630201649896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1172595916800).

630201649896 is an abundant number, since it is smaller than the sum of its proper divisors (1714990183704).

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

630201649896 is a wasteful number, since it uses less digits than its factorization.

630201649896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 487 (or 477 counting only the distinct ones).

The product of its (nonzero) digits is 3359232, while the sum is 54.

The spelling of 630201649896 in words is "six hundred thirty billion, two hundred one million, six hundred forty-nine thousand, eight hundred ninety-six".