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629211604992 = 21132341223487
BaseRepresentation
bin10010010011111111110…
…11110010100000000000
32020011002211122100020020
421021333323302200000
540302111132324432
61201020020213440
763313310253105
oct11117773624000
92204084570206
10629211604992
11222935602803
12a1b4183a280
13474468a3989
142264db04aac
151157966322c
hex927fef2800

629211604992 has 384 divisors, whose sum is σ = 1804854804480. Its totient is φ = 194447278080.

The previous prime is 629211604939. The next prime is 629211604993. The reversal of 629211604992 is 299406112926.

It is a tau number, because it is divible by the number of its divisors (384).

It is not an unprimeable number, because it can be changed into a prime (629211604993) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 1292015373 + ... + 1292015859.

It is an arithmetic number, because the mean of its divisors is an integer number (4700142720).

Almost surely, 2629211604992 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 629211604992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (902427402240).

629211604992 is an abundant number, since it is smaller than the sum of its proper divisors (1175643199488).

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

629211604992 is a wasteful number, since it uses less digits than its factorization.

629211604992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 799 (or 779 counting only the distinct ones).

The product of its (nonzero) digits is 839808, while the sum is 51.

The spelling of 629211604992 in words is "six hundred twenty-nine billion, two hundred eleven million, six hundred four thousand, nine hundred ninety-two".