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30328382784 = 2637113199697
BaseRepresentation
bin11100001111101101…
…100110010101000000
32220021122012110212110
4130033231212111000
5444103031222114
621533242255320
72122365000030
oct341755462500
986248173773
1030328382784
1111953643967
125a64ab7540
132b2441ca3b
141679cc98c0
15bc7892759
hex70fb66540

30328382784 has 112 divisors (see below), whose sum is σ = 92519284608. Its totient is φ = 8588525568.

The previous prime is 30328382753. The next prime is 30328382803. The reversal of 30328382784 is 48728382303.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 52024 + ... + 251720.

Almost surely, 230328382784 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30328382784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46259642304).

30328382784 is an abundant number, since it is smaller than the sum of its proper divisors (62190901824).

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

30328382784 is a wasteful number, since it uses less digits than its factorization.

30328382784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199832 (or 199822 counting only the distinct ones).

The product of its (nonzero) digits is 1548288, while the sum is 48.

The spelling of 30328382784 in words is "thirty billion, three hundred twenty-eight million, three hundred eighty-two thousand, seven hundred eighty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 113 168 192 224 226 336 339 448 452 672 678 791 904 1344 1356 1582 1808 2373 2712 3164 3616 4746 5424 6328 7232 9492 10848 12656 18984 21696 25312 37968 50624 75936 151872 199697 399394 599091 798788 1198182 1397879 1597576 2396364 2795758 3195152 4193637 4792728 5591516 6390304 8387274 9585456 11183032 12780608 16774548 19170912 22366064 22565761 33549096 38341824 44732128 45131522 67098192 67697283 89464256 90263044 134196384 135394566 157960327 180526088 268392768 270789132 315920654 361052176 473880981 541578264 631841308 722104352 947761962 1083156528 1263682616 1444208704 1895523924 2166313056 2527365232 3791047848 4332626112 5054730464 7582095696 10109460928 15164191392 30328382784