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52407413320 = 23531181239977
BaseRepresentation
bin110000110011101110…
…011010101001001000
312000021100210102212011
4300303232122221020
51324312244211240
640024200425304
73533463443323
oct606356325110
9160240712764
1052407413320
1120253689339
12a1a7178234
134c32752a52
14277235d7ba
15156add26ea
hexc33b9aa48

52407413320 has 128 divisors (see below), whose sum is σ = 123030835200. Its totient is φ = 20069683200.

The previous prime is 52407413297. The next prime is 52407413321. The reversal of 52407413320 is 2331470425.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is not an unprimeable number, because it can be changed into a prime (52407413321) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 53640672 + ... + 53641648.

It is an arithmetic number, because the mean of its divisors is an integer number (961178400).

Almost surely, 252407413320 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 52407413320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61515417600).

52407413320 is an abundant number, since it is smaller than the sum of its proper divisors (70623421880).

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

52407413320 is a wasteful number, since it uses less digits than its factorization.

52407413320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1439 (or 1435 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 31.

Adding to 52407413320 its reverse (2331470425), we get a palindrome (54738883745).

The spelling of 52407413320 in words is "fifty-two billion, four hundred seven million, four hundred thirteen thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 20 31 40 62 124 155 181 239 248 310 362 478 620 724 905 956 977 1195 1240 1448 1810 1912 1954 2390 3620 3908 4780 4885 5611 7240 7409 7816 9560 9770 11222 14818 19540 22444 28055 29636 30287 37045 39080 43259 44888 56110 59272 60574 74090 86518 112220 121148 148180 151435 173036 176837 216295 224440 233503 242296 296360 302870 346072 353674 432590 467006 605740 707348 865180 884185 934012 1167515 1211480 1341029 1414696 1730360 1768370 1868024 2335030 2682058 3536740 4670060 5364116 5481947 6705145 7073480 7238593 9340120 10728232 10963894 13410290 14477186 21927788 26820580 27409735 28954372 36192965 42264043 43855576 53641160 54819470 57908744 72385930 84528086 109638940 144771860 169056172 211320215 219277880 289543720 338112344 422640430 845280860 1310185333 1690561720 2620370666 5240741332 6550926665 10481482664 13101853330 26203706660 52407413320