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42415622613 = 327131511971741
BaseRepresentation
bin100111100000001010…
…110000100111010101
311001111000110212202200
4213200022300213111
51143331344410423
631252505555113
73031045562220
oct474012604725
9131430425680
1042415622613
1116a96571071
128278aa5a99
133ccc67b060
1420a53365b7
151183ae6d43
hex9e02b09d5

42415622613 has 96 divisors (see below), whose sum is σ = 76334049792. Its totient is φ = 22099392000.

The previous prime is 42415622609. The next prime is 42415622617. The reversal of 42415622613 is 31622651424.

42415622613 is a `hidden beast` number, since 4 + 2 + 4 + 15 + 6 + 22 + 613 = 666.

It is an interprime number because it is at equal distance from previous prime (42415622609) and next prime (42415622617).

It is not a de Polignac number, because 42415622613 - 22 = 42415622609 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42415622617) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 24361923 + ... + 24363663.

It is an arithmetic number, because the mean of its divisors is an integer number (795146352).

Almost surely, 242415622613 is an apocalyptic number.

It is an amenable number.

42415622613 is a deficient number, since it is larger than the sum of its proper divisors (33918427179).

42415622613 is a wasteful number, since it uses less digits than its factorization.

42415622613 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2115 (or 2112 counting only the distinct ones).

The product of its digits is 69120, while the sum is 36.

The spelling of 42415622613 in words is "forty-two billion, four hundred fifteen million, six hundred twenty-two thousand, six hundred thirteen".

Divisors: 1 3 7 9 13 21 39 63 91 117 151 197 273 453 591 819 1057 1359 1379 1741 1773 1963 2561 3171 4137 5223 5889 7683 9513 12187 12411 13741 15669 17667 17927 22633 23049 29747 36561 41223 53781 67899 89241 109683 123669 158431 161343 203697 208229 262891 267723 342977 386711 475293 624687 788673 1028931 1160133 1425879 1840237 1874061 2366019 2400839 2706977 3086793 3417583 3480399 4458701 5520711 7202517 8120931 10252749 13376103 16562133 21607551 23923081 24362793 30758247 31210907 40128309 51789527 71769243 93632721 155368581 215307729 280898163 362526689 466105743 673263851 1087580067 2019791553 3262740201 4712846957 6059374659 14138540871 42415622613