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52310045040 = 243511158312517
BaseRepresentation
bin110000101101111010…
…111111000101110000
312000000120120121200120
4300231322333011300
51324112332420130
640010401450240
73531202021641
oct605572770560
9160016517616
1052310045040
1120203725090
12a17a640980
134c18521096
1427634556c8
15156259c910
hexc2debf170

52310045040 has 160 divisors (see below), whose sum is σ = 177028955136. Its totient is φ = 12672199680.

The previous prime is 52310045003. The next prime is 52310045071. The reversal of 52310045040 is 4054001325.

It is a super-3 number, since 3×523100450403 (a number of 33 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 52310045040.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4172862 + ... + 4185378.

Almost surely, 252310045040 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 52310045040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88514477568).

52310045040 is an abundant number, since it is smaller than the sum of its proper divisors (124718910096).

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

52310045040 is a wasteful number, since it uses less digits than its factorization.

52310045040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14127 (or 14121 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 24.

Adding to 52310045040 its reverse (4054001325), we get a palindrome (56364046365).

The spelling of 52310045040 in words is "fifty-two billion, three hundred ten million, forty-five thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 33 40 44 48 55 60 66 80 88 110 120 132 165 176 220 240 264 330 440 528 660 880 1320 1583 2640 3166 4749 6332 7915 9498 12517 12664 15830 17413 18996 23745 25034 25328 31660 34826 37551 37992 47490 50068 52239 62585 63320 69652 75102 75984 87065 94980 100136 104478 125170 126640 137687 139304 150204 174130 187755 189960 200272 208956 250340 261195 275374 278608 300408 348260 375510 379920 413061 417912 500680 522390 550748 600816 688435 696520 751020 826122 835824 1001360 1044780 1101496 1376870 1393040 1502040 1652244 2065305 2089560 2202992 2753740 3004080 3304488 4130610 4179120 5507480 6608976 8261220 11014960 16522440 19814411 33044880 39628822 59443233 79257644 99072055 118886466 158515288 198144110 217958521 237772932 297216165 317030576 396288220 435917042 475545864 594432330 653875563 792576440 871834084 951091728 1089792605 1188864660 1307751126 1585152880 1743668168 2179585210 2377729320 2615502252 3269377815 3487336336 4359170420 4755458640 5231004504 6538755630 8718340840 10462009008 13077511260 17436681680 26155022520 52310045040