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52642061402200 = 23527331999179633
BaseRepresentation
bin10111111100000101011110…
…10111101100000001011000
320220101112100202210210022021
423332002233113230001120
523344441420204332300
6303543232410304224
714042156232664024
oct1376025727540130
9226345322723267
1052642061402200
1115856411316496
125aa2473a28074
13234b181a8c6ca
14cddc645c9384
1561451a432d1a
hex2fe0af5ec058

52642061402200 has 96 divisors (see below), whose sum is σ = 122621761080000. Its totient is φ = 21017461340160.

The previous prime is 52642061402159. The next prime is 52642061402201. The reversal of 52642061402200 is 220416024625.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52642061402201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 292963584 + ... + 293143216.

It is an arithmetic number, because the mean of its divisors is an integer number (1277310011250).

Almost surely, 252642061402200 is an apocalyptic number.

52642061402200 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

52642061402200 is an abundant number, since it is smaller than the sum of its proper divisors (69979699677800).

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

52642061402200 is a wasteful number, since it uses less digits than its factorization.

52642061402200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182381 (or 182372 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 34.

Adding to 52642061402200 its reverse (220416024625), we get a palindrome (52862477426825).

The spelling of 52642061402200 in words is "fifty-two trillion, six hundred forty-two billion, sixty-one million, four hundred two thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 733 1466 1999 2932 3665 3998 5864 7330 7996 9995 14660 15992 18325 19990 29320 36650 39980 49975 73300 79960 99950 146600 179633 199900 359266 399800 718532 898165 1437064 1465267 1796330 2930534 3592660 4490825 5861068 7185320 7326335 8981650 11722136 14652670 17963300 29305340 35926600 36631675 58610680 73263350 131670989 146526700 263341978 293053400 359086367 526683956 658354945 718172734 1053367912 1316709890 1436345468 1795431835 2633419780 2872690936 3291774725 3590863670 5266839560 6583549450 7181727340 8977159175 13167098900 14363454680 17954318350 26334197800 35908636700 71817273400 263210307011 526420614022 1052841228044 1316051535055 2105682456088 2632103070110 5264206140220 6580257675275 10528412280440 13160515350550 26321030701100 52642061402200