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630023632504 = 2372331233241281
BaseRepresentation
bin10010010101100000101…
…01011011011001111000
32020020012102121121120021
421022300111123121320
540310242022220004
61201232344540224
763342400342210
oct11126025333170
92206172547507
10630023632504
11223211a09022
12a2129781674
1347545ba8226
14226c98c1240
15115c5ab3d54
hex92b055b678

630023632504 has 256 divisors, whose sum is σ = 1471711887360. Its totient is φ = 246951936000.

The previous prime is 630023632499. The next prime is 630023632517. The reversal of 630023632504 is 405236320036.

It is a self number, because there is not a number n which added to its sum of digits gives 630023632504.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2242076844 + ... + 2242077124.

It is an arithmetic number, because the mean of its divisors is an integer number (5748874560).

Almost surely, 2630023632504 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 630023632504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (735855943680).

630023632504 is an abundant number, since it is smaller than the sum of its proper divisors (841688254856).

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

630023632504 is a wasteful number, since it uses less digits than its factorization.

630023632504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 822 (or 818 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 34.

The spelling of 630023632504 in words is "six hundred thirty billion, twenty-three million, six hundred thirty-two thousand, five hundred four".