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30649001418 = 2327521541863
BaseRepresentation
bin11100100010110100…
…101010010111001010
32221002222111120221200
4130202310222113022
51000232121021133
622025134245030
72133340133160
oct344264522712
987088446850
1030649001418
1111aa8620442
125b34356776
132b759896c9
1416aa709230
15be5ac5913
hex722d2a5ca

30649001418 has 96 divisors (see below), whose sum is σ = 76267256832. Its totient is φ = 8713785600.

The previous prime is 30649001389. The next prime is 30649001419. The reversal of 30649001418 is 81410094603.

30649001418 is a `hidden beast` number, since 3 + 0 + 649 + 0 + 0 + 1 + 4 + 1 + 8 = 666.

It is a super-2 number, since 2×306490014182 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (30649001419) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 35514055 + ... + 35514917.

It is an arithmetic number, because the mean of its divisors is an integer number (794450592).

Almost surely, 230649001418 is an apocalyptic number.

30649001418 is an abundant number, since it is smaller than the sum of its proper divisors (45618255414).

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

30649001418 is a wasteful number, since it uses less digits than its factorization.

30649001418 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1940 (or 1937 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The spelling of 30649001418 in words is "thirty billion, six hundred forty-nine million, one thousand, four hundred eighteen".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 521 541 863 1042 1082 1563 1623 1726 2589 3126 3246 3647 3787 4689 4869 5178 6041 7294 7574 7767 9378 9738 10941 11361 12082 15534 18123 21882 22722 32823 34083 36246 54369 65646 68166 108738 281861 449623 466883 563722 845583 899246 933766 1348869 1400649 1691166 1973027 2536749 2697738 2801298 3147361 3268181 3946054 4046607 4201947 5073498 5919081 6294722 6536362 8093214 8403894 9442083 9804543 11838162 17757243 18884166 19609086 28326249 29413629 35514486 56652498 58827258 243246043 486492086 729738129 1459476258 1702722301 2189214387 3405444602 4378428774 5108166903 10216333806 15324500709 30649001418