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53662130120 = 2352953818597
BaseRepresentation
bin110001111110100000…
…110001111111001000
312010111210202122201202
4301332200301333020
51334400001130440
640352501403332
73606540402644
oct617640617710
9163453678652
1053662130120
1120837967675
12a497409548
1350a2694521
142850c53c24
1515e112a615
hexc7e831fc8

53662130120 has 64 divisors (see below), whose sum is σ = 124940977200. Its totient is φ = 20718423040.

The previous prime is 53662130077. The next prime is 53662130143. The reversal of 53662130120 is 2103126635.

It can be written as a sum of positive squares in 8 ways, for example, as 24712468804 + 28949661316 = 157202^2 + 170146^2 .

It is a super-2 number, since 2×536621301202 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6237662 + ... + 6246258.

Almost surely, 253662130120 is an apocalyptic number.

It is an amenable number.

53662130120 is an abundant number, since it is smaller than the sum of its proper divisors (71278847080).

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

53662130120 is a wasteful number, since it uses less digits than its factorization.

53662130120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14018 (or 14014 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 29.

Adding to 53662130120 its reverse (2103126635), we get a palindrome (55765256755).

The spelling of 53662130120 in words is "fifty-three billion, six hundred sixty-two million, one hundred thirty thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 29 40 58 116 145 232 290 580 1160 5381 8597 10762 17194 21524 26905 34388 42985 43048 53810 68776 85970 107620 156049 171940 215240 249313 312098 343880 498626 624196 780245 997252 1246565 1248392 1560490 1994504 2493130 3120980 4986260 6241960 9972520 46260457 92520914 185041828 231302285 370083656 462604570 925209140 1341553253 1850418280 2683106506 5366213012 6707766265 10732426024 13415532530 26831065060 53662130120