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630916282697472 = 28331737331438419
BaseRepresentation
bin1000111101110100001010010…
…0111010011100011100000000
310001201220000012112010202021000
42033131002210322130130000
51130143413021332304342
610113502534453532000
7246615124432244202
oct21735024472343400
93051800175122230
10630916282697472
111730361026a1462
125a917976644000
13211071c4c0b5b5
14b1b2722320772
154ce18a8c0b44c
hex23dd0a4e9c700

630916282697472 has 576 divisors, whose sum is σ = 2035004784422400. Its totient is φ = 192002672885760.

The previous prime is 630916282697443. The next prime is 630916282697473. The reversal of 630916282697472 is 274796282619036.

630916282697472 is a `hidden beast` number, since 6 + 3 + 0 + 9 + 1 + 62 + 8 + 2 + 6 + 97 + 472 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 630916282697472.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (630916282697473) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1438852279 + ... + 1439290697.

It is an arithmetic number, because the mean of its divisors is an integer number (3532994417400).

Almost surely, 2630916282697472 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 630916282697472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1017502392211200).

630916282697472 is an abundant number, since it is smaller than the sum of its proper divisors (1404088501724928).

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

630916282697472 is a wasteful number, since it uses less digits than its factorization.

630916282697472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 438829 (or 438809 counting only the distinct ones).

The product of its (nonzero) digits is 658409472, while the sum is 72.

The spelling of 630916282697472 in words is "six hundred thirty trillion, nine hundred sixteen billion, two hundred eighty-two million, six hundred ninety-seven thousand, four hundred seventy-two".