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505016716680 = 23345722267051
BaseRepresentation
bin1110101100101010101…
…01111000110110001000
31210021112111001022210000
413112111111320312020
531233233234413210
61024000152523000
751325533156450
oct7262525706610
91707474038700
10505016716680
111851a3852a43
1281a610b0460
13388135b0498
141a62b5d6d60
15d20b28cac0
hex7595578d88

505016716680 has 160 divisors (see below), whose sum is σ = 1939905570240. Its totient is φ = 115432387200.

The previous prime is 505016716661. The next prime is 505016716727. The reversal of 505016716680 is 86617610505.

505016716680 is a `hidden beast` number, since 5 + 0 + 501 + 6 + 7 + 1 + 66 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 11110846 + ... + 11156205.

It is an arithmetic number, because the mean of its divisors is an integer number (12124409814).

Almost surely, 2505016716680 is an apocalyptic number.

It is an amenable number.

505016716680 is an abundant number, since it is smaller than the sum of its proper divisors (1434888853560).

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

505016716680 is a wasteful number, since it uses less digits than its factorization.

505016716680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22267081 (or 22267068 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 45.

The spelling of 505016716680 in words is "five hundred five billion, sixteen million, seven hundred sixteen thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 18 20 21 24 27 28 30 35 36 40 42 45 54 56 60 63 70 72 81 84 90 105 108 120 126 135 140 162 168 180 189 210 216 252 270 280 315 324 360 378 405 420 504 540 567 630 648 756 810 840 945 1080 1134 1260 1512 1620 1890 2268 2520 2835 3240 3780 4536 5670 7560 11340 22680 22267051 44534102 66801153 89068204 111335255 133602306 155869357 178136408 200403459 222670510 267204612 311738714 334005765 400806918 445341020 467608071 534409224 601210377 623477428 668011530 779346785 801613836 890682040 935216142 1002017295 1202420754 1246954856 1336023060 1402824213 1558693570 1603227672 1803631131 1870432284 2004034590 2338040355 2404841508 2672046120 2805648426 3006051885 3117387140 3607262262 3740864568 4008069180 4208472639 4676080710 4809683016 5611296852 6012103770 6234774280 7014121065 7214524524 8016138360 8416945278 9018155655 9352161420 11222593704 12024207540 12625417917 14028242130 14429049048 16833890556 18036311310 18704322840 21042363195 24048415080 25250835834 28056484260 33667781112 36072622620 42084726390 50501671668 56112968520 63127089585 72145245240 84169452780 101003343336 126254179170 168338905560 252508358340 505016716680