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506503008140 = 2251910903122251
BaseRepresentation
bin1110101111011011110…
…11101000111110001100
31210102101001202202100212
413113231323220332030
531244304232230030
61024403445141552
751410421350633
oct7275573507614
91712331682325
10506503008140
1118589681a798
12821b69ba8b8
13389bc4b2b9c
141a72cb6c51a
15d2969ca595
hex75edee8f8c

506503008140 has 48 divisors (see below), whose sum is σ = 1119750078720. Its totient is φ = 191918808000.

The previous prime is 506503008139. The next prime is 506503008173. The reversal of 506503008140 is 41800305605.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 506503008097 and 506503008106.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4082015 + ... + 4204265.

It is an arithmetic number, because the mean of its divisors is an integer number (23328126640).

Almost surely, 2506503008140 is an apocalyptic number.

It is an amenable number.

506503008140 is an abundant number, since it is smaller than the sum of its proper divisors (613247070580).

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

506503008140 is a wasteful number, since it uses less digits than its factorization.

506503008140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133182 (or 133180 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 32.

The spelling of 506503008140 in words is "five hundred six billion, five hundred three million, eight thousand, one hundred forty".

Divisors: 1 2 4 5 10 19 20 38 76 95 190 380 10903 21806 43612 54515 109030 122251 207157 218060 244502 414314 489004 611255 828628 1035785 1222510 2071570 2322769 2445020 4143140 4645538 9291076 11613845 23227690 46455380 1332902653 2665805306 5331610612 6664513265 13329026530 25325150407 26658053060 50650300814 101300601628 126625752035 253251504070 506503008140