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6995938395996 = 223211372267210619
BaseRepresentation
bin110010111001101111001…
…1011000100011101011100
3220202210201222100010010100
41211303132123010131130
51404110140212132441
622513520103141100
71321303606126134
oct145633633043534
926683658303110
106995938395996
112257a62928120
1294ba39744790
133b9939017b54
141a2868a47ac4
15c1ea8d5acb6
hex65cde6c475c

6995938395996 has 144 divisors (see below), whose sum is σ = 19822064895360. Its totient is φ = 2061764876160.

The previous prime is 6995938395991. The next prime is 6995938395997.

6995938395996 is a `hidden beast` number, since 6 + 9 + 9 + 5 + 9 + 3 + 8 + 3 + 9 + 599 + 6 = 666.

6995938395996 is nontrivially palindromic in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6995938395991) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 33110775 + ... + 33321393.

It is an arithmetic number, because the mean of its divisors is an integer number (137653228440).

Almost surely, 26995938395996 is an apocalyptic number.

6995938395996 is a gapful number since it is divisible by the number (66) 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 6995938395996, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9911032447680).

6995938395996 is an abundant number, since it is smaller than the sum of its proper divisors (12826126499364).

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

6995938395996 is a wasteful number, since it uses less digits than its factorization.

6995938395996 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 212944 (or 212939 counting only the distinct ones).

The product of its digits is 34437376800, while the sum is 90.

The spelling of 6995938395996 in words is "six trillion, nine hundred ninety-five billion, nine hundred thirty-eight million, three hundred ninety-five thousand, nine hundred ninety-six".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 37 44 66 74 99 111 132 148 198 222 333 396 407 444 666 814 1221 1332 1628 2267 2442 3663 4534 4884 6801 7326 9068 13602 14652 20403 24937 27204 40806 49874 74811 81612 83879 99748 149622 167758 210619 224433 251637 299244 335516 421238 448866 503274 631857 754911 842476 897732 922669 1006548 1263714 1509822 1845338 1895571 2316809 2527428 2768007 3019644 3690676 3791142 4633618 5536014 6950427 7582284 7792903 8304021 9267236 11072028 13900854 15585806 16608042 20851281 23378709 27801708 31171612 33216084 41702562 46757418 70136127 83405124 85721933 93514836 140272254 171443866 257165799 280544508 342887732 477473273 514331598 771497397 954946546 1028663196 1432419819 1542994794 1909893092 2864839638 3085989588 4297259457 5252206003 5729679276 8594518914 10504412006 15756618009 17189037828 17666511101 21008824012 31513236018 35333022202 47269854027 52999533303 63026472036 70666044404 94539708054 105999066606 158998599909 189079416108 194331622111 211998133212 317997199818 388663244222 582994866333 635994399636 777326488444 1165989732666 1748984598999 2331979465332 3497969197998 6995938395996