Search a number
-
+
630432144746880 = 27357172759244331
BaseRepresentation
bin1000111101010111111110110…
…0000010101110100110000000
310001200011201120010011122011220
42033111333230002232212000
51130113000013023400010
610112452310141235040
7246535135151461530
oct21725775402564600
93050151503148156
10630432144746880
11172969853417503
125a859b81862a80
13210a065b0a6498
14b1971159dd4c0
154cd3ec091e970
hex23d5fec0ae980

630432144746880 has 256 divisors, whose sum is σ = 2431666844904960. Its totient is φ = 135622377308160.

The previous prime is 630432144746861. The next prime is 630432144746923. The reversal of 630432144746880 is 88647441234036.

630432144746880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1379393686 + ... + 1379850645.

It is an arithmetic number, because the mean of its divisors is an integer number (9498698612910).

Almost surely, 2630432144746880 is an apocalyptic number.

630432144746880 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

630432144746880 is an abundant number, since it is smaller than the sum of its proper divisors (1801234700158080).

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

630432144746880 is a wasteful number, since it uses less digits than its factorization.

630432144746880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2759244377 (or 2759244365 counting only the distinct ones).

The product of its (nonzero) digits is 74317824, while the sum is 60.

The spelling of 630432144746880 in words is "six hundred thirty trillion, four hundred thirty-two billion, one hundred forty-four million, seven hundred forty-six thousand, eight hundred eighty".