Search a number
-
+
930206790864 = 2432131633048499
BaseRepresentation
bin11011000100101001010…
…01010011010011010000
310021221000201012001100100
431202110221103103100
5110220030414301424
61551155303452400
7124130251156131
oct15422451232320
93257021161310
10930206790864
1132955353496a
12130344457100
1369944945460
143304509dc88
15192e43a1dc9
hexd894a534d0

930206790864 has 120 divisors (see below), whose sum is σ = 2820740468000. Its totient is φ = 284461445376.

The previous prime is 930206790841. The next prime is 930206790893. The reversal of 930206790864 is 468097602039.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 930206790864.

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 23 ways as a sum of consecutive naturals, for example, 1219114 + ... + 1829385.

Almost surely, 2930206790864 is an apocalyptic number.

It is an amenable number.

930206790864 is an abundant number, since it is smaller than the sum of its proper divisors (1890533677136).

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

930206790864 is a wasteful number, since it uses less digits than its factorization.

930206790864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3048689 (or 3048680 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 54.

The spelling of 930206790864 in words is "nine hundred thirty billion, two hundred six million, seven hundred ninety thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 36 39 48 52 72 78 104 117 144 156 163 208 234 312 326 468 489 624 652 936 978 1304 1467 1872 1956 2119 2608 2934 3912 4238 5868 6357 7824 8476 11736 12714 16952 19071 23472 25428 33904 38142 50856 76284 101712 152568 305136 3048499 6096998 9145497 12193996 18290994 24387992 27436491 36581988 39630487 48775984 54872982 73163976 79260974 109745964 118891461 146327952 158521948 219491928 237782922 317043896 356674383 438983856 475565844 496905337 634087792 713348766 951131688 993810674 1426697532 1490716011 1902263376 1987621348 2853395064 2981432022 3975242696 4472148033 5706790128 5962864044 6459769381 7950485392 8944296066 11925728088 12919538762 17888592132 19379308143 23851456176 25839077524 35777184264 38758616286 51678155048 58137924429 71554368528 77517232572 103356310096 116275848858 155034465144 232551697716 310068930288 465103395432 930206790864