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630540812356 = 227213243632
BaseRepresentation
bin10010010110011110010…
…10010100000001000100
32020021112110210001221121
421023033022110001010
540312321421443411
61201355541523324
763361250321200
oct11131712240104
92207473701847
10630540812356
11223457939994
12a2252a13544
13475c9096c00
1422738469b00
15116061c2571
hex92cf294044

630540812356 has 81 divisors (see below), whose sum is σ = 1390253391261. Its totient is φ = 249387544224.

The previous prime is 630540812351. The next prime is 630540812399. The reversal of 630540812356 is 653218045036.

The square root of 630540812356 is 794066.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 93275268100 + 537265544256 = 305410^2 + 732984^2 .

It is not an unprimeable number, because it can be changed into a prime (630540812351) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 144517831 + ... + 144522193.

Almost surely, 2630540812356 is an apocalyptic number.

630540812356 is the 794066-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 630540812356

630540812356 is an abundant number, since it is smaller than the sum of its proper divisors (759712578905).

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

630540812356 is an equidigital number, since it uses as much as digits as its factorization.

630540812356 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8770 (or 4385 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 43.

The spelling of 630540812356 in words is "six hundred thirty billion, five hundred forty million, eight hundred twelve thousand, three hundred fifty-six".

Divisors: 1 2 4 7 13 14 26 28 49 52 91 98 169 182 196 338 364 637 676 1183 1274 2366 2548 4363 4732 8281 8726 16562 17452 30541 33124 56719 61082 113438 122164 213787 226876 397033 427574 737347 794066 855148 1474694 1588132 2779231 2949388 5161429 5558462 10322858 11116924 19035769 20645716 36130003 38071538 72260006 76143076 133250383 144520012 247464997 266500766 494929994 533001532 932752681 989859988 1732254979 1865505362 3217044961 3464509958 3731010724 6434089922 6929019916 12125784853 12868179844 22519314727 24251569706 45038629454 48503139412 90077258908 157635203089 315270406178 630540812356