Search a number
-
+
730981299672 = 233213827394399
BaseRepresentation
bin10101010001100011110…
…00010111010111011000
32120212210100021111012100
422220301320113113120
543434022203042142
61315450322043400
7103545253346241
oct12506170272730
92525710244170
10730981299672
11262009983698
12b98041a9560
1353c14c22520
1427545bcdcc8
1514033e1bb4c
hexaa31e175d8

730981299672 has 96 divisors (see below), whose sum is σ = 2132309088000. Its totient is φ = 224887753728.

The previous prime is 730981299661. The next prime is 730981299689. The reversal of 730981299672 is 276992189037.

730981299672 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (63) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7696329 + ... + 7790727.

It is an arithmetic number, because the mean of its divisors is an integer number (22211553000).

Almost surely, 2730981299672 is an apocalyptic number.

730981299672 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

730981299672 is an abundant number, since it is smaller than the sum of its proper divisors (1401327788328).

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

730981299672 is a wasteful number, since it uses less digits than its factorization.

730981299672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102697 (or 102690 counting only the distinct ones).

The product of its (nonzero) digits is 20575296, while the sum is 63.

The spelling of 730981299672 in words is "seven hundred thirty billion, nine hundred eighty-one million, two hundred ninety-nine thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 72 78 104 117 156 234 312 468 936 8273 16546 24819 33092 49638 66184 74457 94399 99276 107549 148914 188798 198552 215098 283197 297828 322647 377596 430196 566394 595656 645294 755192 849591 860392 967941 1132788 1227187 1290588 1699182 1935882 2265576 2454374 2581176 3398364 3681561 3871764 4908748 6796728 7363122 7743528 9817496 11044683 14726244 22089366 29452488 44178732 88357464 780962927 1561925854 2342888781 3123851708 4685777562 6247703416 7028666343 9371555124 10152518051 14057332686 18743110248 20305036102 28114665372 30457554153 40610072204 56229330744 60915108306 81220144408 91372662459 121830216612 182745324918 243660433224 365490649836 730981299672