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645414145464 = 23311311011515171
BaseRepresentation
bin10010110010001011010…
…11100100110110111000
32021200221000120200022210
421121011223210312320
541033302010123324
61212255453015120
764425651501324
oct11310553446670
92250830520283
10645414145464
1122979a506220
12a5103a844a0
1348b295c362a
142334991a984
1511bc6d15d29
hex9645ae4db8

645414145464 has 256 divisors, whose sum is σ = 1847501291520. Its totient is φ = 186120000000.

The previous prime is 645414145463. The next prime is 645414145471. The reversal of 645414145464 is 464541414546.

645414145464 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (645414145463) 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, 124811599 + ... + 124816769.

It is an arithmetic number, because the mean of its divisors is an integer number (7216801920).

Almost surely, 2645414145464 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 645414145464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (923750645760).

645414145464 is an abundant number, since it is smaller than the sum of its proper divisors (1202087146056).

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

645414145464 is a wasteful number, since it uses less digits than its factorization.

645414145464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5474 (or 5470 counting only the distinct ones).

The product of its digits is 3686400, while the sum is 48.

The spelling of 645414145464 in words is "six hundred forty-five billion, four hundred fourteen million, one hundred forty-five thousand, four hundred sixty-four".