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42847160013 = 32722232931487
BaseRepresentation
bin100111111001111000…
…111100011011001101
311002121002111020210100
4213321320330123031
51200222333110023
631403403201313
73044535564600
oct477170743315
9132532436710
1042847160013
1117198117549
128379516239
13406abb2328
14210678a337
1511ab939c43
hex9f9e3c6cd

42847160013 has 72 divisors (see below), whose sum is σ = 72613352448. Its totient is φ = 24274772928.

The previous prime is 42847159997. The next prime is 42847160029. The reversal of 42847160013 is 31006174824.

42847160013 is a `hidden beast` number, since 4 + 2 + 8 + 47 + 1 + 600 + 1 + 3 = 666.

It is an interprime number because it is at equal distance from previous prime (42847159997) and next prime (42847160029).

It is not a de Polignac number, because 42847160013 - 24 = 42847159997 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 42847160013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42847160063) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 28813756 + ... + 28815242.

It is an arithmetic number, because the mean of its divisors is an integer number (1008518784).

Almost surely, 242847160013 is an apocalyptic number.

It is an amenable number.

42847160013 is a deficient number, since it is larger than the sum of its proper divisors (29766192435).

42847160013 is a wasteful number, since it uses less digits than its factorization.

42847160013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2023 (or 2013 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 42847160013 in words is "forty-two billion, eight hundred forty-seven million, one hundred sixty thousand, thirteen".

Divisors: 1 3 7 9 21 49 63 147 223 293 441 669 879 1487 1561 2007 2051 2637 4461 4683 6153 10409 10927 13383 14049 14357 18459 31227 32781 43071 65339 72863 93681 98343 129213 196017 218589 331601 435691 457373 588051 655767 994803 1307073 1372119 2321207 2984409 3049837 3201611 3921219 4116357 6963621 9149511 9604833 16248449 20890863 21348859 27448533 28814499 48745347 64046577 97159093 146236041 192139731 291477279 680113651 874431837 2040340953 4760795557 6121022859 14282386671 42847160013