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30246591834 = 2341913175013
BaseRepresentation
bin11100001010110101…
…100101110101011010
32220001221022001210000
4130022311211311122
5443421111414314
621521201233430
72120352534324
oct341265456532
986057261700
1030246591834
111191145a138
125a41632876
132b104b3424
14166d0b8614
15bc05d8209
hex70ad65d5a

30246591834 has 80 divisors (see below), whose sum is σ = 71887416480. Its totient is φ = 9478516320.

The previous prime is 30246591821. The next prime is 30246591857. The reversal of 30246591834 is 43819564203.

30246591834 is a `hidden beast` number, since 3 + 0 + 2 + 465 + 9 + 183 + 4 = 666.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 30246591834.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 365712 + ... + 440724.

It is an arithmetic number, because the mean of its divisors is an integer number (898592706).

Almost surely, 230246591834 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30246591834, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35943708240).

30246591834 is an abundant number, since it is smaller than the sum of its proper divisors (41640824646).

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

30246591834 is a wasteful number, since it uses less digits than its factorization.

30246591834 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75177 (or 75168 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 30246591834 in words is "thirty billion, two hundred forty-six million, five hundred ninety-one thousand, eight hundred thirty-four".

Divisors: 1 2 3 6 9 18 19 27 38 54 57 81 114 131 162 171 262 342 393 513 786 1026 1179 1539 2358 2489 3078 3537 4978 7074 7467 10611 14934 21222 22401 44802 67203 75013 134406 150026 201609 225039 403218 450078 675117 1350234 1425247 2025351 2850494 4050702 4275741 6076053 8551482 9826703 12152106 12827223 19653406 25654446 29480109 38481669 58960218 76963338 88440327 115445007 176880654 186707357 230890014 265320981 373414714 530641962 560122071 795962943 1120244142 1591925886 1680366213 3360732426 5041098639 10082197278 15123295917 30246591834