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64001624368 = 24113154121683
BaseRepresentation
bin111011100110110010…
…110100100100110000
320010012101100101102011
4323212302310210300
52022033403434433
645222452532304
74424006555023
oct734662644460
9203171311364
1064001624368
1125163280740
12104a2021094
13605c7ca066
14315210b1ba
1519e8be93cd
hexee6cb4930

64001624368 has 80 divisors (see below), whose sum is σ = 139904474112. Its totient is φ = 28099872000.

The previous prime is 64001624363. The next prime is 64001624381. The reversal of 64001624368 is 86342610046.

64001624368 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 64001624368.

It is not an unprimeable number, because it can be changed into a prime (64001624363) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2940855 + ... + 2962537.

Almost surely, 264001624368 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 64001624368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69952237056).

64001624368 is an abundant number, since it is smaller than the sum of its proper divisors (75902849744).

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

64001624368 is a wasteful number, since it uses less digits than its factorization.

64001624368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22274 (or 22268 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 40.

The spelling of 64001624368 in words is "sixty-four billion, one million, six hundred twenty-four thousand, three hundred sixty-eight".

Divisors: 1 2 4 8 11 16 22 31 44 62 88 124 176 248 341 496 541 682 1082 1364 2164 2728 4328 5456 5951 8656 11902 16771 21683 23804 33542 43366 47608 67084 86732 95216 134168 173464 184481 238513 268336 346928 368962 477026 672173 737924 954052 1344346 1475848 1908104 2688692 2951696 3816208 5377384 7393903 10754768 11730503 14787806 23461006 29575612 46922012 59151224 93844024 118302448 129035533 187688048 258071066 363645593 516142132 727291186 1032284264 1454582372 2064568528 2909164744 4000101523 5818329488 8000203046 16000406092 32000812184 64001624368