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516116505006 = 232678910147609
BaseRepresentation
bin1111000001010101111…
…00001110000110101110
31211100012001020222212100
413200222330032012232
531424001311130011
61033033423515530
752200563623404
oct7405274160656
91740161228770
10516116505006
1118997a348223
128403a458ba6
13398920a617b
141ada1841474
15d65a98dd56
hex782af0e1ae

516116505006 has 96 divisors (see below), whose sum is σ = 1159082589600. Its totient is φ = 165904358400.

The previous prime is 516116504977. The next prime is 516116505011. The reversal of 516116505006 is 600505611615.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10816930 + ... + 10864538.

It is an arithmetic number, because the mean of its divisors is an integer number (12073776975).

Almost surely, 2516116505006 is an apocalyptic number.

516116505006 is an abundant number, since it is smaller than the sum of its proper divisors (642966084594).

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

516116505006 is a wasteful number, since it uses less digits than its factorization.

516116505006 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47874 (or 47871 counting only the distinct ones).

The product of its (nonzero) digits is 27000, while the sum is 36.

The spelling of 516116505006 in words is "five hundred sixteen billion, one hundred sixteen million, five hundred five thousand, six".

Divisors: 1 2 3 6 9 18 67 89 101 134 178 201 202 267 303 402 534 603 606 801 909 1206 1602 1818 5963 6767 8989 11926 13534 17889 17978 20301 26967 35778 40602 47609 53667 53934 60903 80901 95218 107334 121806 142827 161802 285654 428481 602263 856962 1204526 1806789 3189803 3613578 4237201 4808509 5420367 6379606 8474402 9569409 9617018 10840734 12711603 14425527 19138818 25423206 28708227 28851054 38134809 43276581 57416454 76269618 86553162 283892467 322170103 427957301 567784934 644340206 851677401 855914602 966510309 1283871903 1703354802 1933020618 2555032203 2567743806 2899530927 3851615709 5110064406 5799061854 7703231418 28673139167 57346278334 86019417501 172038835002 258058252503 516116505006