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6640429824 = 283272131449
BaseRepresentation
bin1100010111100110…
…01110101100000000
3122010210010210020100
412023303032230000
5102044422223244
63014531242400
7323361502500
oct61363165400
918123123210
106640429824
1128a8393236
121353a49400
1381a97ba22
1446dcbba00
1528ce8eb69
hex18bcceb00

6640429824 has 324 divisors, whose sum is σ = 22491869400. Its totient is φ = 1878589440.

The previous prime is 6640429811. The next prime is 6640429841. The reversal of 6640429824 is 4289240466.

It is a self number, because there is not a number n which added to its sum of digits gives 6640429824.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 14789152 + ... + 14789600.

It is an arithmetic number, because the mean of its divisors is an integer number (69419350).

Almost surely, 26640429824 is an apocalyptic number.

6640429824 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 6640429824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11245934700).

6640429824 is an abundant number, since it is smaller than the sum of its proper divisors (15851439576).

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

6640429824 is a wasteful number, since it uses less digits than its factorization.

6640429824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 616 (or 592 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 45.

The square root of 6640429824 is about 81488.8325109643. The cubic root of 6640429824 is about 1879.5998303247.

The spelling of 6640429824 in words is "six billion, six hundred forty million, four hundred twenty-nine thousand, eight hundred twenty-four".