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506063066440 = 235122321614787
BaseRepresentation
bin1110101110100111011…
…01011001010101001000
31210101020101221101210211
413113103231121111020
531242404121111230
61024252051450504
751363500043031
oct7272355312510
91711211841724
10506063066440
11185690454008
12820b35b6a34
133894c2c8459
141a6ca56ba88
15d26d07742a
hex75d3b59548

506063066440 has 64 divisors (see below), whose sum is σ = 1140338424960. Its totient is φ = 202123883520.

The previous prime is 506063066417. The next prime is 506063066471. The reversal of 506063066440 is 44660360605.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 506063066393 and 506063066402.

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, 105713727 + ... + 105718513.

It is an arithmetic number, because the mean of its divisors is an integer number (17817787890).

Almost surely, 2506063066440 is an apocalyptic number.

It is an amenable number.

506063066440 is an abundant number, since it is smaller than the sum of its proper divisors (634275358520).

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

506063066440 is a wasteful number, since it uses less digits than its factorization.

506063066440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8182 (or 8178 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 40.

The spelling of 506063066440 in words is "five hundred six billion, sixty-three million, sixty-six thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 40 1223 2161 2446 4322 4787 4892 6115 8644 9574 9784 10805 12230 17288 19148 21610 23935 24460 38296 43220 47870 48920 86440 95740 191480 2642903 5285806 5854501 10344707 10571612 11709002 13214515 20689414 21143224 23418004 26429030 29272505 41378828 46836008 51723535 52858060 58545010 82757656 103447070 105716120 117090020 206894140 234180040 413788280 12651576661 25303153322 50606306644 63257883305 101212613288 126515766610 253031533220 506063066440