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513420734372 = 2271310313998519
BaseRepresentation
bin1110111100010100100…
…00101010111110100100
31211002020011200122202112
413132022100222332210
531402441201444442
61031510124100152
752044021143660
oct7361220527644
91732204618675
10513420734372
1118881668a907
1283607694658
1339552740810
141abc77cd8a0
15d54de92082
hex778a42afa4

513420734372 has 96 divisors (see below), whose sum is σ = 1124609740800. Its totient is φ = 199690468992.

The previous prime is 513420734341. The next prime is 513420734377. The reversal of 513420734372 is 273437024315.

It is not an unprimeable number, because it can be changed into a prime (513420734377) 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, 5162129 + ... + 5260647.

It is an arithmetic number, because the mean of its divisors is an integer number (11714684800).

Almost surely, 2513420734372 is an apocalyptic number.

513420734372 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 513420734372, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (562304870400).

513420734372 is an abundant number, since it is smaller than the sum of its proper divisors (611189006428).

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

513420734372 is a wasteful number, since it uses less digits than its factorization.

513420734372 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98785 (or 98783 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 41.

Adding to 513420734372 its reverse (273437024315), we get a palindrome (786857758687).

The spelling of 513420734372 in words is "five hundred thirteen billion, four hundred twenty million, seven hundred thirty-four thousand, three hundred seventy-two".

Divisors: 1 2 4 7 13 14 26 28 52 91 103 139 182 206 278 364 412 556 721 973 1339 1442 1807 1946 2678 2884 3614 3892 5356 7228 9373 12649 14317 18746 25298 28634 37492 50596 57268 98519 100219 186121 197038 200438 372242 394076 400876 689633 744484 1280747 1302847 1379266 2561494 2605694 2758532 5122988 5211388 8965229 10147457 13694141 17930458 20294914 27388282 35860916 40589828 54776564 71032199 95858987 131916941 142064398 178023833 191717974 263833882 284128796 356047666 383435948 527667764 712095332 923418587 1246166831 1410496523 1846837174 2492333662 2820993046 3693674348 4984667324 5641986092 9873475661 18336454799 19746951322 36672909598 39493902644 73345819196 128355183593 256710367186 513420734372