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630074165952 = 263721121929131
BaseRepresentation
bin10010010101100110101…
…10001100101011000000
32020020022221200222102110
421022303112030223000
540310342441302302
61201241352015320
763343553021100
oct11126326145300
92206287628373
10630074165952
11223238493600
12a2142691540
13475534bc38a
14226d24b7200
15115ca246b6c
hex92b358cac0

630074165952 has 504 divisors, whose sum is σ = 2243832870720. Its totient is φ = 155036851200.

The previous prime is 630074165951. The next prime is 630074165977. The reversal of 630074165952 is 259561470036.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (630074165951) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 21614427 + ... + 21643557.

Almost surely, 2630074165952 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 630074165952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1121916435360).

630074165952 is an abundant number, since it is smaller than the sum of its proper divisors (1613758704768).

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

630074165952 is a wasteful number, since it uses less digits than its factorization.

630074165952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29201 (or 29173 counting only the distinct ones).

The product of its (nonzero) digits is 1360800, while the sum is 48.

The spelling of 630074165952 in words is "six hundred thirty billion, seventy-four million, one hundred sixty-five thousand, nine hundred fifty-two".