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328568462640 = 243351123761557
BaseRepresentation
bin1001100100000000011…
…01001101110100110000
31011102002111112022001000
410302000031031310300
520340402011301030
6410535310242000
732511142565025
oct4620015156460
91142074468030
10328568462640
11117388371100
1253818ab6300
1324ca3752582
1411c8d3c954c
1588307b3860
hex4c8034dd30

328568462640 has 960 divisors, whose sum is σ = 1300870488960. Its totient is φ = 76092825600.

The previous prime is 328568462633. The next prime is 328568462657. The reversal of 328568462640 is 46264865823.

It is a happy number.

328568462640 is a `hidden beast` number, since 3 + 2 + 8 + 5 + 6 + 8 + 4 + 626 + 4 + 0 = 666.

It is a super-2 number, since 2×3285684626402 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 589889242 + ... + 589889798.

It is an arithmetic number, because the mean of its divisors is an integer number (1355073426).

Almost surely, 2328568462640 is an apocalyptic number.

328568462640 is a gapful number since it is divisible by the number (30) 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 328568462640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (650435244480).

328568462640 is an abundant number, since it is smaller than the sum of its proper divisors (972302026320).

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

328568462640 is a wasteful number, since it uses less digits than its factorization.

328568462640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 699 (or 676 counting only the distinct ones).

The product of its (nonzero) digits is 13271040, while the sum is 54.

The spelling of 328568462640 in words is "three hundred twenty-eight billion, five hundred sixty-eight million, four hundred sixty-two thousand, six hundred forty".