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151816530006 = 232177116741843
BaseRepresentation
bin1000110101100011111…
…0000110100001010110
3112111212100120210120200
42031120332012201112
54441410012430011
6153424335041330
713653104133051
oct2153076064126
9474770523520
10151816530006
1159426523019
122550b070246
1311415a0939b
1474c2b2ba98
153e38300856
hex2358f86856

151816530006 has 96 divisors (see below), whose sum is σ = 355313806848. Its totient is φ = 46675587840.

The previous prime is 151816530001. The next prime is 151816530037. The reversal of 151816530006 is 600035618151.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (151816530001) 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, 3607321 + ... + 3649163.

It is an arithmetic number, because the mean of its divisors is an integer number (3701185488).

Almost surely, 2151816530006 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 151816530006, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177656903424).

151816530006 is an abundant number, since it is smaller than the sum of its proper divisors (203497276842).

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

151816530006 is a wasteful number, since it uses less digits than its factorization.

151816530006 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42106 (or 42103 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 36.

The spelling of 151816530006 in words is "one hundred fifty-one billion, eight hundred sixteen million, five hundred thirty thousand, six".

Divisors: 1 2 3 6 9 17 18 34 51 71 102 142 153 167 213 306 334 426 501 639 1002 1207 1278 1503 2414 2839 3006 3621 5678 7242 8517 10863 11857 17034 21726 23714 25551 35571 41843 51102 71142 83686 106713 125529 201569 213426 251058 376587 403138 604707 711331 753174 1209414 1422662 1814121 2133993 2970853 3628242 4267986 5941706 6401979 6987781 8912559 12803958 13975562 17825118 20963343 26737677 41926686 50504501 53475354 62890029 101009002 118792277 125780058 151513503 237584554 303027006 356376831 454540509 496132451 712753662 909081018 992264902 1069130493 1488397353 2138260986 2976794706 4465192059 8434251667 8930384118 16868503334 25302755001 50605510002 75908265003 151816530006