Search a number
-
+
663774390120 = 2335172213147031
BaseRepresentation
bin10011010100011000000…
…10010110011101101000
32100110022120121202010010
421222030002112131220
541333402220440440
61224533404451520
765645643136362
oct11521402263550
92313276552103
10663774390120
1123656137a836
12a8788849ba0
134a79435611a
14241ac11dd32
15123edb2d580
hex9a8c096768

663774390120 has 128 divisors (see below), whose sum is σ = 2109426935040. Its totient is φ = 166517944320.

The previous prime is 663774390109. The next prime is 663774390133. The reversal of 663774390120 is 21093477366.

It is a super-2 number, since 2×6637743901202 (a number of 24 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 663774390120.

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 31 ways as a sum of consecutive naturals, for example, 4441005 + ... + 4588035.

It is an arithmetic number, because the mean of its divisors is an integer number (16479897930).

Almost surely, 2663774390120 is an apocalyptic number.

663774390120 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 663774390120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1054713467520).

663774390120 is an abundant number, since it is smaller than the sum of its proper divisors (1445652544920).

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

663774390120 is a wasteful number, since it uses less digits than its factorization.

663774390120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149275 (or 149271 counting only the distinct ones).

The product of its (nonzero) digits is 1143072, while the sum is 48.

The spelling of 663774390120 in words is "six hundred sixty-three billion, seven hundred seventy-four million, three hundred ninety thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 17 20 24 30 34 40 51 60 68 85 102 120 136 170 204 255 340 408 510 680 1020 2040 2213 4426 6639 8852 11065 13278 17704 22130 26556 33195 37621 44260 53112 66390 75242 88520 112863 132780 147031 150484 188105 225726 265560 294062 300968 376210 441093 451452 564315 588124 735155 752420 882186 902904 1128630 1176248 1470310 1504840 1764372 2205465 2257260 2499527 2940620 3528744 4410930 4514520 4999054 5881240 7498581 8821860 9998108 12497635 14997162 17643720 19996216 24995270 29994324 37492905 49990540 59988648 74985810 99981080 149971620 299943240 325379603 650759206 976138809 1301518412 1626898015 1952277618 2603036824 3253796030 3904555236 4880694045 5531453251 6507592060 7809110472 9761388090 11062906502 13015184120 16594359753 19522776180 22125813004 27657266255 33188719506 39045552360 44251626008 55314532510 66377439012 82971798765 110629065020 132754878024 165943597530 221258130040 331887195060 663774390120