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629999663104 = 21171716315859
BaseRepresentation
bin10010010101011101110…
…01111111100000000000
32020020010202111211201201
421022232321333200000
540310214403204404
61201230131110544
763341656531450
oct11125671774000
92206122454651
10629999663104
112231aa4274a9
12a2121742454
1347540c35156
14226c6641d60
15115c392bca4
hex92aee7f800

629999663104 has 192 divisors, whose sum is σ = 1533781267200. Its totient is φ = 252542582784.

The previous prime is 629999663099. The next prime is 629999663113. The reversal of 629999663104 is 401366999926.

It is a super-2 number, since 2×6299996631042 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (64).

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 15 ways as a sum of consecutive naturals, for example, 39717127 + ... + 39732985.

It is an arithmetic number, because the mean of its divisors is an integer number (7988444100).

Almost surely, 2629999663104 is an apocalyptic number.

629999663104 is a gapful number since it is divisible by the number (64) 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 629999663104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (766890633600).

629999663104 is an abundant number, since it is smaller than the sum of its proper divisors (903781604096).

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

629999663104 is a wasteful number, since it uses less digits than its factorization.

629999663104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16068 (or 16048 counting only the distinct ones).

The product of its (nonzero) digits is 34012224, while the sum is 64.

The spelling of 629999663104 in words is "six hundred twenty-nine billion, nine hundred ninety-nine million, six hundred sixty-three thousand, one hundred four".