Search a number
-
+
630772561440 = 253357171226993
BaseRepresentation
bin10010010110111001111…
…10010111011000100000
32020022010121212010221000
421023130332113120200
540313310233431230
61201434541032000
763400063210410
oct11133476273040
92208117763830
10630772561440
1122356673745a
12a22b8555600
13476350b9348
142275b154640
151161b6edb60
hex92dcf97620

630772561440 has 384 divisors, whose sum is σ = 2671509496320. Its totient is φ = 135695499264.

The previous prime is 630772561303. The next prime is 630772561469. The reversal of 630772561440 is 44165277036.

630772561440 is a `hidden beast` number, since 6 + 3 + 0 + 7 + 7 + 25 + 614 + 4 + 0 = 666.

630772561440 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 99417 + ... + 1127576.

It is an arithmetic number, because the mean of its divisors is an integer number (6957055980).

Almost surely, 2630772561440 is an apocalyptic number.

630772561440 is a gapful number since it is divisible by the number (60) 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 630772561440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1335754748160).

630772561440 is an abundant number, since it is smaller than the sum of its proper divisors (2040736934880).

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

630772561440 is a wasteful number, since it uses less digits than its factorization.

630772561440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1227041 (or 1227027 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 45.

The spelling of 630772561440 in words is "six hundred thirty billion, seven hundred seventy-two million, five hundred sixty-one thousand, four hundred forty".