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513513152442 = 23317559382519
BaseRepresentation
bin1110111100011111100…
…01001101111110111010
31211002110121120222112000
413132033301031332322
531403133331334232
61031523225001430
752046222530263
oct7361761157672
91732417528460
10513513152442
11188863872984
1283632623276
133956892b274
141abd5ba996a
15d55714a27c
hex778fc4dfba

513513152442 has 32 divisors (see below), whose sum is σ = 1208266243200. Its totient is φ = 161102165184.

The previous prime is 513513152441. The next prime is 513513152447. The reversal of 513513152442 is 244251315315.

513513152442 is a `hidden beast` number, since 5 + 1 + 35 + 131 + 52 + 442 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 513513152397 and 513513152406.

It is not an unprimeable number, because it can be changed into a prime (513513152441) 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, 279690342 + ... + 279692177.

It is an arithmetic number, because the mean of its divisors is an integer number (37758320100).

Almost surely, 2513513152442 is an apocalyptic number.

513513152442 is an abundant number, since it is smaller than the sum of its proper divisors (694753090758).

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

513513152442 is a wasteful number, since it uses less digits than its factorization.

513513152442 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 559382547 (or 559382541 counting only the distinct ones).

The product of its digits is 72000, while the sum is 36.

Adding to 513513152442 its reverse (244251315315), we get a palindrome (757764467757).

The spelling of 513513152442 in words is "five hundred thirteen billion, five hundred thirteen million, one hundred fifty-two thousand, four hundred forty-two".

Divisors: 1 2 3 6 9 17 18 27 34 51 54 102 153 306 459 918 559382519 1118765038 1678147557 3356295114 5034442671 9509502823 10068885342 15103328013 19019005646 28528508469 30206656026 57057016938 85585525407 171171050814 256756576221 513513152442