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52636251420 = 223257313193037
BaseRepresentation
bin110001000001010111…
…010111010100011100
312000212022101121201100
4301001113113110130
51330244340021140
640103013313100
73542242516644
oct610127272434
9160768347640
1052636251420
1120360878835
12a24b935790
134c6ac961cc
1427948cb524
151581036530
hexc415d751c

52636251420 has 144 divisors (see below), whose sum is σ = 162026504640. Its totient is φ = 13829004288.

The previous prime is 52636251419. The next prime is 52636251443. The reversal of 52636251420 is 2415263625.

52636251420 is a `hidden beast` number, since 5 + 2 + 6 + 3 + 625 + 1 + 4 + 20 = 666.

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

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 17330142 + ... + 17333178.

It is an arithmetic number, because the mean of its divisors is an integer number (1125184060).

Almost surely, 252636251420 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 52636251420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81013252320).

52636251420 is an abundant number, since it is smaller than the sum of its proper divisors (109390253220).

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

52636251420 is a wasteful number, since it uses less digits than its factorization.

52636251420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4444 (or 4439 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The spelling of 52636251420 in words is "fifty-two billion, six hundred thirty-six million, two hundred fifty-one thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 73 90 146 180 219 292 365 438 657 730 876 1095 1314 1319 1460 2190 2628 2638 3037 3285 3957 4380 5276 6074 6570 6595 7914 9111 11871 12148 13140 13190 15185 15828 18222 19785 23742 26380 27333 30370 36444 39570 45555 47484 54666 59355 60740 79140 91110 96287 109332 118710 136665 182220 192574 221701 237420 273330 288861 385148 443402 481435 546660 577722 665103 866583 886804 962870 1108505 1155444 1330206 1444305 1733166 1925740 1995309 2217010 2660412 2888610 3325515 3466332 3990618 4005803 4332915 4434020 5777220 6651030 7981236 8011606 8665830 9976545 12017409 13302060 16023212 17331660 19953090 20029015 24034818 36052227 39906180 40058030 48069636 60087045 72104454 80116060 120174090 144208908 180261135 240348180 292423619 360522270 584847238 721044540 877270857 1169694476 1462118095 1754541714 2631812571 2924236190 3509083428 4386354285 5263625142 5848472380 8772708570 10527250284 13159062855 17545417140 26318125710 52636251420