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630900306720 = 25325438125213
BaseRepresentation
bin10010010111001001001…
…01101011001100100000
32020022110112020021111200
421023210211223030200
540314040434303340
61201455343041200
763403204060545
oct11134445531440
92208415207450
10630900306720
11223621859372
12a23332a0200
13476556c5778
14227700c8bcc
1511627a34330
hex92e496b320

630900306720 has 72 divisors (see below), whose sum is σ = 2152947301596. Its totient is φ = 168240081408.

The previous prime is 630900306679. The next prime is 630900306731. The reversal of 630900306720 is 27603009036.

It can be written as a sum of positive squares in 2 ways, for example, as 629794611216 + 1105695504 = 793596^2 + 33252^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 219061167 + ... + 219064046.

Almost surely, 2630900306720 is an apocalyptic number.

630900306720 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

630900306720 is an abundant number, since it is smaller than the sum of its proper divisors (1522046994876).

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

630900306720 is a wasteful number, since it uses less digits than its factorization.

630900306720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 438125234 (or 438125223 counting only the distinct ones).

The product of its (nonzero) digits is 40824, while the sum is 36.

The spelling of 630900306720 in words is "six hundred thirty billion, nine hundred million, three hundred six thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 288 360 480 720 1440 438125213 876250426 1314375639 1752500852 2190626065 2628751278 3505001704 3943126917 4381252130 5257502556 6571878195 7010003408 7886253834 8762504260 10515005112 13143756390 14020006816 15772507668 17525008520 19715634585 21030010224 26287512780 31545015336 35050017040 39431269170 42060020448 52575025560 63090030672 70100034080 78862538340 105150051120 126180061344 157725076680 210300102240 315450153360 630900306720