Search a number
-
+
663984102330 = 23353079798701
BaseRepresentation
bin10011010100110001000…
…10010101101110111010
32100110212012020020012000
421222120202111232322
541334314412233310
61225010255401430
765654100514263
oct11523042255672
92313765206160
10663984102330
1123665979670a
12a8826b23276
134a7c8930ca3
14241cbd0d96a
15124122554c0
hex9a98895bba

663984102330 has 64 divisors (see below), whose sum is σ = 1771201555200. Its totient is φ = 177004699200.

The previous prime is 663984102269. The next prime is 663984102359. The reversal of 663984102330 is 33201489366.

663984102330 is a `hidden beast` number, since 6 + 639 + 8 + 4 + 1 + 0 + 2 + 3 + 3 + 0 = 666.

663984102330 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×6639841023302 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 431980 + ... + 1230680.

It is an arithmetic number, because the mean of its divisors is an integer number (27675024300).

Almost surely, 2663984102330 is an apocalyptic number.

663984102330 is an abundant number, since it is smaller than the sum of its proper divisors (1107217452870).

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

663984102330 is a wasteful number, since it uses less digits than its factorization.

663984102330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 801796 (or 801790 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 45.

The spelling of 663984102330 in words is "six hundred sixty-three billion, nine hundred eighty-four million, one hundred two thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 135 270 3079 6158 9237 15395 18474 27711 30790 46185 55422 83133 92370 138555 166266 277110 415665 798701 831330 1597402 2396103 3993505 4792206 7188309 7987010 11980515 14376618 21564927 23961030 35941545 43129854 71883090 107824635 215649270 2459200379 4918400758 7377601137 12296001895 14755202274 22132803411 24592003790 36888005685 44265606822 66398410233 73776011370 110664017055 132796820466 221328034110 331992051165 663984102330