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6642266040 = 2332518450739
BaseRepresentation
bin1100010111110100…
…01110111110111000
3122010220121002001100
412023322032332320
5102100410003130
63015034451400
7323413221054
oct61372167670
918126532040
106642266040
1128a9427873
121354593b60
1381b172747
14470238c64
1528d203c60
hex18be8efb8

6642266040 has 48 divisors (see below), whose sum is σ = 21587365800. Its totient is φ = 1771270848.

The previous prime is 6642266017. The next prime is 6642266063. The reversal of 6642266040 is 406622466.

6642266040 is a `hidden beast` number, since 6 + 6 + 42 + 2 + 6 + 604 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (6642266017) and next prime (6642266063).

It is a super-2 number, since 2×66422660402 = 88239396292274563200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 6642265986 and 6642266004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9225010 + ... + 9225729.

Almost surely, 26642266040 is an apocalyptic number.

6642266040 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

6642266040 is an abundant number, since it is smaller than the sum of its proper divisors (14945099760).

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

6642266040 is a wasteful number, since it uses less digits than its factorization.

6642266040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18450756 (or 18450749 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The square root of 6642266040 is about 81500.0984048486. The cubic root of 6642266040 is about 1879.7730637497.

The spelling of 6642266040 in words is "six billion, six hundred forty-two million, two hundred sixty-six thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 18450739 36901478 55352217 73802956 92253695 110704434 147605912 166056651 184507390 221408868 276761085 332113302 369014780 442817736 553522170 664226604 738029560 830283255 1107044340 1328453208 1660566510 2214088680 3321133020 6642266040