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52313152240 = 24523311317001
BaseRepresentation
bin110000101110000110…
…110101101011110000
312000000210102110222001
4300232012311223300
51324114131332430
640010552223344
73531240312556
oct605606655360
9160023373861
1052313152240
1120205457618
12a17b69ab54
134c1906b46b
142763a23bd6
1515629b33ca
hexc2e1b5af0

52313152240 has 160 divisors (see below), whose sum is σ = 132029263872. Its totient is φ = 19219200000.

The previous prime is 52313152237. The next prime is 52313152247. The reversal of 52313152240 is 4225131325.

52313152240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 52313152199 and 52313152208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52313152247) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7468740 + ... + 7475740.

Almost surely, 252313152240 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 52313152240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66014631936).

52313152240 is an abundant number, since it is smaller than the sum of its proper divisors (79716111632).

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

52313152240 is a wasteful number, since it uses less digits than its factorization.

52313152240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7199 (or 7193 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 28.

Adding to 52313152240 its reverse (4225131325), we get a palindrome (56538283565).

The spelling of 52313152240 in words is "fifty-two billion, three hundred thirteen million, one hundred fifty-two thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 23 31 40 46 62 80 92 115 124 131 155 184 230 248 262 310 368 460 496 524 620 655 713 920 1048 1240 1310 1426 1840 2096 2480 2620 2852 3013 3565 4061 5240 5704 6026 7001 7130 8122 10480 11408 12052 14002 14260 15065 16244 20305 24104 28004 28520 30130 32488 35005 40610 48208 56008 57040 60260 64976 70010 81220 93403 112016 120520 140020 161023 162440 186806 217031 241040 280040 322046 324880 373612 434062 467015 560080 644092 747224 805115 868124 917131 934030 1085155 1288184 1494448 1610230 1736248 1834262 1868060 2170310 2576368 3220460 3472496 3668524 3736120 4340620 4585655 4991713 6440920 7337048 7472240 8681240 9171310 9983426 12881840 14674096 17362480 18342620 19966852 21094013 24958565 28431061 36685240 39933704 42188026 49917130 56862122 73370480 79867408 84376052 99834260 105470065 113724244 142155305 168752104 199668520 210940130 227448488 284310610 337504208 399337040 421880260 454896976 568621220 653914403 843760520 1137242440 1307828806 1687521040 2274484880 2615657612 3269572015 5231315224 6539144030 10462630448 13078288060 26156576120 52313152240