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645383950848 = 293271323611097
BaseRepresentation
bin10010110010000111110…
…00011001001000000000
32021200211220202122002200
421121003320121020000
541033221242411343
61212252453513200
764425134032350
oct11310370311000
92250756678080
10645383950848
1122978446259a
12a50b5942800
1348b23280bb0
14233458dab60
1511bc434e4d3
hex9643e19200

645383950848 has 960 divisors, whose sum is σ = 2433561242112. Its totient is φ = 159995658240.

The previous prime is 645383950837. The next prime is 645383950879. The reversal of 645383950848 is 848059383546.

It is a happy number.

645383950848 is a `hidden beast` number, since 6 + 4 + 5 + 3 + 83 + 9 + 508 + 48 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 588316636 + ... + 588317732.

Almost surely, 2645383950848 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 645383950848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1216780621056).

645383950848 is an abundant number, since it is smaller than the sum of its proper divisors (1788177291264).

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

645383950848 is a wasteful number, since it uses less digits than its factorization.

645383950848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1225 (or 1206 counting only the distinct ones).

The product of its (nonzero) digits is 99532800, while the sum is 63.

The spelling of 645383950848 in words is "six hundred forty-five billion, three hundred eighty-three million, nine hundred fifty thousand, eight hundred forty-eight".