Search a number
-
+
630252300564 = 223217507008349
BaseRepresentation
bin10010010101111011111…
…01101110100100010100
32020020210100220011011200
421022331331232210110
540311224042104224
61201311154032500
763351145110015
oct11127575564424
92206710804150
10630252300564
11223319aa1797
12a2192278730
134758138c183
142270c00700c
15115dabd25c9
hex92bdf6e914

630252300564 has 18 divisors (see below), whose sum is σ = 1593137759850. Its totient is φ = 210084100176.

The previous prime is 630252300539. The next prime is 630252300569. The reversal of 630252300564 is 465003252036.

630252300564 is a `hidden beast` number, since 63 + 0 + 2 + 5 + 2 + 30 + 0 + 564 = 666.

It can be written as a sum of positive squares in only one way, i.e., 473825722500 + 156426578064 = 688350^2 + 395508^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 17507008349 = 630252300564 / (6 + 3 + 0 + 2 + 5 + 2 + 3 + 0 + 0 + 5 + 6 + 4).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (630252300569) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 8753504139 + ... + 8753504210.

It is an arithmetic number, because the mean of its divisors is an integer number (88507653325).

Almost surely, 2630252300564 is an apocalyptic number.

It is an amenable number.

630252300564 is an abundant number, since it is smaller than the sum of its proper divisors (962885459286).

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

630252300564 is a wasteful number, since it uses less digits than its factorization.

630252300564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17507008359 (or 17507008354 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 36.

The spelling of 630252300564 in words is "six hundred thirty billion, two hundred fifty-two million, three hundred thousand, five hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 36 17507008349 35014016698 52521025047 70028033396 105042050094 157563075141 210084100188 315126150282 630252300564