Search a number
-
+
644104563648 = 263713171926007
BaseRepresentation
bin10010101111101111001…
…11111010101111000000
32021120112202101000210120
421113313213322233000
541023111232014043
61211521512100240
764351340312460
oct11276747725700
92246482330716
10644104563648
11229188263aa7
12a49b9394680
134897b1b2250
1423263a23ba0
1511b4bd81983
hex95f79fabc0

644104563648 has 672 divisors, whose sum is σ = 2344278150144. Its totient is φ = 151441145856.

The previous prime is 644104563643. The next prime is 644104563653. The reversal of 644104563648 is 846365401446.

It is an interprime number because it is at equal distance from previous prime (644104563643) and next prime (644104563653).

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a self number, because there is not a number n which added to its sum of digits gives 644104563648.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (644104563643) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 107222661 + ... + 107228667.

It is an arithmetic number, because the mean of its divisors is an integer number (3488509152).

Almost surely, 2644104563648 is an apocalyptic number.

644104563648 is a gapful number since it is divisible by the number (68) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 644104563648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1172139075072).

644104563648 is an abundant number, since it is smaller than the sum of its proper divisors (1700173586496).

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

644104563648 is a wasteful number, since it uses less digits than its factorization.

644104563648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6097 (or 6068 counting only the distinct ones).

The product of its (nonzero) digits is 6635520, while the sum is 51.

The spelling of 644104563648 in words is "six hundred forty-four billion, one hundred four million, five hundred sixty-three thousand, six hundred forty-eight".