Search a number
-
+
644845506768 = 24324478093797
BaseRepresentation
bin10010110001000111100…
…10011001000011010000
32021122110101120211200100
421120203302121003100
541031120422204033
61212123221052400
764405605240501
oct11304362310320
92248411524610
10644845506768
11229528528591
12a4b85557100
1348a68858528
14232d41b8ba8
1511b91e40513
hex9623c990d0

644845506768 has 30 divisors (see below), whose sum is σ = 1804671800594. Its totient is φ = 214948502208.

The previous prime is 644845506737. The next prime is 644845506787. The reversal of 644845506768 is 867605548446.

It is a happy number.

644845506768 is a `hidden beast` number, since 6 + 4 + 4 + 8 + 4 + 550 + 6 + 76 + 8 = 666.

It can be written as a sum of positive squares in only one way, i.e., 620175150144 + 24670356624 = 787512^2 + 157068^2 .

It is a hoax number, since the sum of its digits (63) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2239046755 + ... + 2239047042.

Almost surely, 2644845506768 is an apocalyptic number.

It is an amenable number.

644845506768 is an abundant number, since it is smaller than the sum of its proper divisors (1159826293826).

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

644845506768 is a wasteful number, since it uses less digits than its factorization.

644845506768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4478093811 (or 4478093802 counting only the distinct ones).

The product of its (nonzero) digits is 154828800, while the sum is 63.

The spelling of 644845506768 in words is "six hundred forty-four billion, eight hundred forty-five million, five hundred six thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 4478093797 8956187594 13434281391 17912375188 26868562782 35824750376 40302844173 53737125564 71649500752 80605688346 107474251128 161211376692 214948502256 322422753384 644845506768