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645614868480 = 21135193121151
BaseRepresentation
bin10010110010100011010…
…01010001100000000000
32021201110000021110112120
421121101221101200000
541034204401242410
61212331423124240
764433636556531
oct11312151214000
92251400243476
10645614868480
1122989284240a
12a515b143680
1348b5c071a4a
142336844a688
1511bd9764570
hex9651a51800

645614868480 has 576 divisors, whose sum is σ = 2248520601600. Its totient is φ = 157704192000.

The previous prime is 645614868443. The next prime is 645614868497. The reversal of 645614868480 is 84868416546.

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 560915905 + ... + 560917055.

It is an arithmetic number, because the mean of its divisors is an integer number (3903681600).

Almost surely, 2645614868480 is an apocalyptic number.

645614868480 is a gapful number since it is divisible by the number (60) 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 645614868480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1124260300800).

645614868480 is an abundant number, since it is smaller than the sum of its proper divisors (1602905733120).

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

645614868480 is a wasteful number, since it uses less digits than its factorization.

645614868480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1262 (or 1211 counting only the distinct ones).

The product of its (nonzero) digits is 35389440, while the sum is 60.

The spelling of 645614868480 in words is "six hundred forty-five billion, six hundred fourteen million, eight hundred sixty-eight thousand, four hundred eighty".