Search a number
-
+
42364555025 = 5213232292293
BaseRepresentation
bin100111011101000111…
…111100111100010001
311001100110101101012112
4213131013330330101
51143230311230100
631243443235105
73026555530142
oct473507747421
9131313341175
1042364555025
1116a6a761251
128263978a95
133cc1c0aa50
14209c641ac9
15117e3aab35
hex9dd1fcf11

42364555025 has 108 divisors (see below), whose sum is σ = 61458272148. Its totient is φ = 28793909760.

The previous prime is 42364555007. The next prime is 42364555039. The reversal of 42364555025 is 52055546324.

It can be written as a sum of positive squares in 18 ways, for example, as 22757834449 + 19606720576 = 150857^2 + 140024^2 .

It is not a de Polignac number, because 42364555025 - 28 = 42364554769 is a prime.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 144588779 + ... + 144589071.

Almost surely, 242364555025 is an apocalyptic number.

It is an amenable number.

42364555025 is a deficient number, since it is larger than the sum of its proper divisors (19093717123).

42364555025 is a wasteful number, since it uses less digits than its factorization.

42364555025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 420 (or 363 counting only the distinct ones).

The product of its (nonzero) digits is 720000, while the sum is 41.

The spelling of 42364555025 in words is "forty-two billion, three hundred sixty-four million, five hundred fifty-five thousand, twenty-five".

Divisors: 1 5 13 23 25 29 65 115 145 293 299 325 377 529 575 667 725 841 1465 1495 1885 2645 3335 3809 4205 6739 6877 7325 7475 8497 8671 9425 10933 13225 15341 16675 19045 19343 21025 33695 34385 42485 43355 54665 76705 87607 95225 96715 110461 154997 168475 171925 195431 199433 212425 216775 246413 251459 273325 383525 438035 444889 483575 552305 774985 977155 997165 1232065 1257295 2014961 2190175 2224445 2540603 2761525 3203369 3874925 4494913 4885775 4985825 5667499 5783557 6160325 6286475 10074805 11122225 12703015 16016845 22474565 28337495 28917785 50374025 58433869 63515075 73677487 80084225 112372825 130352477 141687475 144588925 292169345 368387435 651762385 1460846725 1694582201 1841937175 3258811925 8472911005 42364555025