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6687997848 = 23337390271
BaseRepresentation
bin1100011101010001…
…01011111110011000
3122021002122111022000
412032220223332120
5102144111412343
63023351001000
7324510021000
oct61650537630
918232574260
106687997848
112922222854
121367969160
1382779519c
14476341000
15292238ed3
hex18ea2bf98

6687997848 has 128 divisors (see below), whose sum is σ = 21665280000. Its totient is φ = 1910835360.

The previous prime is 6687997847. The next prime is 6687997909. The reversal of 6687997848 is 8487997866.

It is a super-2 number, since 2×66879978482 = 89458630429705262208, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6687997847) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 28953 + ... + 119223.

It is an arithmetic number, because the mean of its divisors is an integer number (169260000).

Almost surely, 26687997848 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6687997848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10832640000).

6687997848 is an abundant number, since it is smaller than the sum of its proper divisors (14977282152).

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

6687997848 is a wasteful number, since it uses less digits than its factorization.

6687997848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90307 (or 90283 counting only the distinct ones).

The product of its digits is 292626432, while the sum is 72.

The square root of 6687997848 is about 81780.1800438224. The cubic root of 6687997848 is about 1884.0772616293.

The spelling of 6687997848 in words is "six billion, six hundred eighty-seven million, nine hundred ninety-seven thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 49 54 56 63 72 84 98 108 126 147 168 189 196 216 252 294 343 378 392 441 504 588 686 756 882 1029 1176 1323 1372 1512 1764 2058 2646 2744 3087 3528 4116 5292 6174 8232 9261 10584 12348 18522 24696 37044 74088 90271 180542 270813 361084 541626 631897 722168 812439 1083252 1263794 1624878 1895691 2166504 2437317 2527588 3249756 3791382 4423279 4874634 5055176 5687073 6499512 7582764 8846558 9749268 11374146 13269837 15165528 17061219 17693116 19498536 22748292 26539674 30962953 34122438 35386232 39809511 45496584 53079348 61925906 68244876 79619022 92888859 106158696 119428533 123851812 136489752 159238044 185777718 238857066 247703624 278666577 318476088 371555436 477714132 557333154 743110872 835999731 955428264 1114666308 1671999462 2229332616 3343998924 6687997848