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513053606296 = 237111943835749
BaseRepresentation
bin1110111011101000110…
…00001100000110011000
31211001021120212121201101
413131310120030012120
531401213210400141
61031405451201144
752031642461510
oct7356430140630
91731246777641
10513053606296
11188648427080
12835247461b4
13394c466b47a
141ab90b44840
15d52bb23531
hex777460c198

513053606296 has 64 divisors (see below), whose sum is σ = 1262469600000. Its totient is φ = 189370431360.

The previous prime is 513053606293. The next prime is 513053606311. The reversal of 513053606296 is 692606350315.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (513053606293) 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, 21906171 + ... + 21929578.

It is an arithmetic number, because the mean of its divisors is an integer number (19726087500).

Almost surely, 2513053606296 is an apocalyptic number.

513053606296 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

513053606296 is an abundant number, since it is smaller than the sum of its proper divisors (749415993704).

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

513053606296 is a wasteful number, since it uses less digits than its factorization.

513053606296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43835792 (or 43835788 counting only the distinct ones).

The product of its (nonzero) digits is 874800, while the sum is 46.

The spelling of 513053606296 in words is "five hundred thirteen billion, fifty-three million, six hundred six thousand, two hundred ninety-six".

Divisors: 1 2 4 7 8 11 14 19 22 28 38 44 56 76 77 88 133 152 154 209 266 308 418 532 616 836 1064 1463 1672 2926 5852 11704 43835749 87671498 175342996 306850243 350685992 482193239 613700486 832879231 964386478 1227400972 1665758462 1928772956 2454801944 3331516924 3375352673 3857545912 5830154617 6663033848 6750705346 9161671541 11660309234 13501410692 18323343082 23320618468 27002821384 36646686164 46641236936 64131700787 73293372328 128263401574 256526803148 513053606296