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630531102656 = 26713665316273
BaseRepresentation
bin10010010110011101001…
…01010001011111000000
32020021111210111202202002
421023032211101133000
540312311430241111
61201354553443132
763361101641060
oct11131645213700
92207453452662
10630531102656
11223452407944
12a224b7104a8
13475c7077520
142273705d3a0
151160540563b
hex92ce9517c0

630531102656 has 112 divisors (see below), whose sum is σ = 1540277075904. Its totient is φ = 249388056576.

The previous prime is 630531102653. The next prime is 630531102679. The reversal of 630531102656 is 656201135036.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (630531102653) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 38738936 + ... + 38755208.

It is an arithmetic number, because the mean of its divisors is an integer number (13752473892).

Almost surely, 2630531102656 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 630531102656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (770138537952).

630531102656 is an abundant number, since it is smaller than the sum of its proper divisors (909745973248).

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

630531102656 is a wasteful number, since it uses less digits than its factorization.

630531102656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22958 (or 22948 counting only the distinct ones).

The product of its (nonzero) digits is 97200, while the sum is 38.

The spelling of 630531102656 in words is "six hundred thirty billion, five hundred thirty-one million, one hundred two thousand, six hundred fifty-six".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 52 56 64 91 104 112 182 208 224 364 416 448 728 832 1456 2912 5824 6653 13306 16273 26612 32546 46571 53224 65092 86489 93142 106448 113911 130184 172978 186284 211549 212896 227822 260368 345956 372568 423098 425792 455644 520736 605423 691912 745136 846196 911288 1041472 1210846 1383824 1480843 1490272 1692392 1822576 2421692 2767648 2961686 2980544 3384784 3645152 4843384 5535296 5923372 6769568 7290304 9686768 11846744 13539136 19373536 23693488 38747072 47386976 94773952 108264269 216528538 433057076 757849883 866114152 1407435497 1515699766 1732228304 2814870994 3031399532 3464456608 5629741988 6062799064 6928913216 9852048479 11259483976 12125598128 19704096958 22518967952 24251196256 39408193916 45037935904 48502392512 78816387832 90075871808 157632775664 315265551328 630531102656