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513232332305440 = 255112287127507337
BaseRepresentation
bin111010010110010000011011…
…0110110101011010000100000
32111022012112100200022011011111
41310230200312312223100200
51014232244304032233230
65015315402321553104
7213050545432643416
oct16454406666532040
92438175320264144
10513232332305440
11139593678713350
124968ba457a5794
131904b7a7ca9947
1490a48126492b6
153e5053dc8692a
hex1d2c836dab420

513232332305440 has 96 divisors (see below), whose sum is σ = 1323318076464384. Its totient is φ = 186548332861440.

The previous prime is 513232332305377. The next prime is 513232332305443. The reversal of 513232332305440 is 44503233232315.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 513232332305393 and 513232332305402.

It is not an unprimeable number, because it can be changed into a prime (513232332305443) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 59728549 + ... + 67778788.

It is an arithmetic number, because the mean of its divisors is an integer number (13784563296504).

Almost surely, 2513232332305440 is an apocalyptic number.

It is an amenable number.

513232332305440 is an abundant number, since it is smaller than the sum of its proper divisors (810085744158944).

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

513232332305440 is a wasteful number, since it uses less digits than its factorization.

513232332305440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127509650 (or 127509642 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 40.

Adding to 513232332305440 its reverse (44503233232315), we get a palindrome (557735565537755).

The spelling of 513232332305440 in words is "five hundred thirteen trillion, two hundred thirty-two billion, three hundred thirty-two million, three hundred five thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 80 88 110 160 176 220 352 440 880 1760 2287 4574 9148 11435 18296 22870 25157 36592 45740 50314 73184 91480 100628 125785 182960 201256 251570 365920 402512 503140 805024 1006280 2012560 4025120 127507337 255014674 510029348 637536685 1020058696 1275073370 1402580707 2040117392 2550146740 2805161414 4080234784 5100293480 5610322828 7012903535 10200586960 11220645656 14025807070 20401173920 22441291312 28051614140 44882582624 56103228280 112206456560 224412913120 291609279719 583218559438 1166437118876 1458046398595 2332874237752 2916092797190 3207702076909 4665748475504 5832185594380 6415404153818 9331496951008 11664371188760 12830808307636 16038510384545 23328742377520 25661616615272 32077020769090 46657484755040 51323233230544 64154041538180 102646466461088 128308083076360 256616166152720 513232332305440