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509642040147 = 397107110914759
BaseRepresentation
bin1110110101010010000…
…10000110001101010011
31210201110211102002202120
413122221002012031103
531322221330241042
61030043141345323
751551255602512
oct7325102061523
91721424362676
10509642040147
11187157710a19
1282932108243
133909c925c86
141a949a06679
15d3cc383dec
hex76a9086353

509642040147 has 32 divisors (see below), whose sum is σ = 693616089600. Its totient is φ = 332793136128.

The previous prime is 509642040139. The next prime is 509642040169. The reversal of 509642040147 is 741040246905.

It is not a de Polignac number, because 509642040147 - 23 = 509642040139 is a prime.

It is a super-3 number, since 3×5096420401473 (a number of 36 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 509642040099 and 509642040108.

It is not an unprimeable number, because it can be changed into a prime (509642040847) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 34523554 + ... + 34538312.

It is an arithmetic number, because the mean of its divisors is an integer number (21675502800).

Almost surely, 2509642040147 is an apocalyptic number.

509642040147 is a deficient number, since it is larger than the sum of its proper divisors (183974049453).

509642040147 is a wasteful number, since it uses less digits than its factorization.

509642040147 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16075.

The product of its (nonzero) digits is 241920, while the sum is 42.

The spelling of 509642040147 in words is "five hundred nine billion, six hundred forty-two million, forty thousand, one hundred forty-seven".

Divisors: 1 3 97 107 291 321 1109 3327 10379 14759 31137 44277 107573 118663 322719 355989 1431623 1579213 4294869 4737639 11510311 16367731 34530933 49103193 153183661 459550983 1587669907 1751347217 4763009721 5254041651 169880680049 509642040147