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6667960014 = 234172731951
BaseRepresentation
bin1100011010111000…
…01111111011001110
3122012200221110120000
412031130033323032
5102123444210024
63021353305130
7324144503442
oct61534177316
918180843500
106667960014
112911987061
1213611051a6
1382359a791
14473806822
152905cbcc9
hex18d70fece

6667960014 has 120 divisors (see below), whose sum is σ = 16097429568. Its totient is φ = 2062195200.

The previous prime is 6667960009. The next prime is 6667960027. The reversal of 6667960014 is 4100697666.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 3416739 + ... + 3418689.

Almost surely, 26667960014 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6667960014, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8048714784).

6667960014 is an abundant number, since it is smaller than the sum of its proper divisors (9429469554).

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

6667960014 is a wasteful number, since it uses less digits than its factorization.

6667960014 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2072 (or 2046 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The square root of 6667960014 is about 81657.5778112479. The cubic root of 6667960014 is about 1882.1937585362.

The spelling of 6667960014 in words is "six billion, six hundred sixty-seven million, nine hundred sixty thousand, fourteen".

Divisors: 1 2 3 6 9 17 18 27 34 51 54 73 81 102 146 153 162 219 289 306 438 459 578 657 867 918 1241 1314 1377 1734 1951 1971 2482 2601 2754 3723 3902 3942 5202 5853 5913 7446 7803 11169 11706 11826 15606 17559 21097 22338 23409 33167 33507 35118 42194 46818 52677 63291 66334 67014 99501 100521 105354 126582 142423 158031 189873 199002 201042 284846 298503 316062 379746 427269 563839 569619 597006 854538 895509 1127678 1139238 1281807 1691517 1708857 1791018 2421191 2563614 2686527 3383034 3417714 3845421 4842382 5074551 5373054 7263573 7690842 10149102 11536263 14527146 15223653 21790719 23072526 30447306 41160247 43581438 45670959 65372157 82320494 91341918 123480741 130744314 196116471 246961482 370442223 392232942 740884446 1111326669 2222653338 3333980007 6667960014