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1645648368 = 2437131979251
BaseRepresentation
bin110001000010110…
…1001100111110000
311020200120121011120
41202011221213300
511332241221433
6431143542240
755531531440
oct14205514760
94220517146
101645648368
11774a1aa81
1239b15a980
13202c29540
141187b8120
15997197b3
hex621699f0

1645648368 has 320 divisors, whose sum is σ = 5599641600. Its totient is φ = 404352000.

The previous prime is 1645648363. The next prime is 1645648369. The reversal of 1645648368 is 8638465461.

It is a super-2 number, since 2×16456483682 = 5416317102202126848, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1645648368.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1645648363) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6556243 + ... + 6556493.

It is an arithmetic number, because the mean of its divisors is an integer number (17498880).

Almost surely, 21645648368 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 1645648368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2799820800).

1645648368 is an abundant number, since it is smaller than the sum of its proper divisors (3953993232).

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

1645648368 is a wasteful number, since it uses less digits than its factorization.

1645648368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 380 (or 374 counting only the distinct ones).

The product of its digits is 3317760, while the sum is 51.

The square root of 1645648368 is about 40566.5917720481. The cubic root of 1645648368 is about 1180.6260127495.

The spelling of 1645648368 in words is "one billion, six hundred forty-five million, six hundred forty-eight thousand, three hundred sixty-eight".