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630949722439680 = 21432574127111003
BaseRepresentation
bin1000111101110110000110111…
…0000100111100000000000000
310001202000012111222220122212200
42033131201232010330000000
51130144440012421032210
610113530145003353200
7246620420210333040
oct21735415604740000
93052005458818780
10630949722439680
11173049302545746
125a922349522800
132110a3c3b028c7
14b1b41b551d720
154ce26b47dd0c0
hex23dd86e13c000

630949722439680 has 1440 divisors, whose sum is σ = 2570336875911168. Its totient is φ = 140167662796800.

The previous prime is 630949722439643. The next prime is 630949722439681. The reversal of 630949722439680 is 86934227949036.

630949722439680 is a `hidden beast` number, since 6 + 3 + 0 + 9 + 4 + 9 + 7 + 224 + 396 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

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

It is a junction number, because it is equal to n+sod(n) for n = 630949722439599 and 630949722439608.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (630949722439681) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 57343421059 + ... + 57343432061.

Almost surely, 2630949722439680 is an apocalyptic number.

630949722439680 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 630949722439680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1285168437955584).

630949722439680 is an abundant number, since it is smaller than the sum of its proper divisors (1939387153471488).

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

630949722439680 is a wasteful number, since it uses less digits than its factorization.

630949722439680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11361 (or 11332 counting only the distinct ones).

The product of its (nonzero) digits is 846526464, while the sum is 72.

The spelling of 630949722439680 in words is "six hundred thirty trillion, nine hundred forty-nine billion, seven hundred twenty-two million, four hundred thirty-nine thousand, six hundred eighty".