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630689796360 = 2332513419533449
BaseRepresentation
bin10010010110110000000…
…10101001000100001000
32020021220212010020120200
421023120002221010020
540313123041440420
61201422423052200
763365036546661
oct11133002510410
92207825106520
10630689796360
11223523a47868
12a22948a1060
1347620bcb520
142275016c368
1511614300b90
hex92d80a9108

630689796360 has 384 divisors, whose sum is σ = 2264282748000. Its totient is φ = 151257415680.

The previous prime is 630689796349. The next prime is 630689796361. The reversal of 630689796360 is 63697986036.

It can be written as a sum of positive squares in 16 ways, for example, as 174635395236 + 456054401124 = 417894^2 + 675318^2 .

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (630689796361) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 182859916 + ... + 182863364.

Almost surely, 2630689796360 is an apocalyptic number.

630689796360 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 630689796360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1132141374000).

630689796360 is an abundant number, since it is smaller than the sum of its proper divisors (1633592951640).

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

630689796360 is a wasteful number, since it uses less digits than its factorization.

630689796360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4473 (or 4466 counting only the distinct ones).

The product of its (nonzero) digits is 52907904, while the sum is 63.

The spelling of 630689796360 in words is "six hundred thirty billion, six hundred eighty-nine million, seven hundred ninety-six thousand, three hundred sixty".