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151827028506 = 23397101286987
BaseRepresentation
bin1000110101100110011…
…0001001101000011010
3112111220002100011211000
42031121212021220122
54441420204403011
6153425352045430
713653262306656
oct2153146115032
9474802304730
10151827028506
115943144376a
1225512693876
1311417c43b0a
1474c42a1a66
153e391c6356
hex2359989a1a

151827028506 has 64 divisors (see below), whose sum is σ = 344247845760. Its totient is φ = 49591180800.

The previous prime is 151827028489. The next prime is 151827028531. The reversal of 151827028506 is 605820728151.

151827028506 is a `hidden beast` number, since 1 + 51 + 8 + 2 + 70 + 28 + 506 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 385545 + ... + 672531.

It is an arithmetic number, because the mean of its divisors is an integer number (5378872590).

Almost surely, 2151827028506 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 151827028506, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172123922880).

151827028506 is an abundant number, since it is smaller than the sum of its proper divisors (192420817254).

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

151827028506 is a wasteful number, since it uses less digits than its factorization.

151827028506 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 287196 (or 287190 counting only the distinct ones).

The product of its (nonzero) digits is 268800, while the sum is 45.

The spelling of 151827028506 in words is "one hundred fifty-one billion, eight hundred twenty-seven million, twenty-eight thousand, five hundred six".

Divisors: 1 2 3 6 9 18 27 54 97 101 194 202 291 303 582 606 873 909 1746 1818 2619 2727 5238 5454 9797 19594 29391 58782 88173 176346 264519 286987 529038 573974 860961 1721922 2582883 5165766 7748649 15497298 27837739 28985687 55675478 57971374 83513217 86957061 167026434 173914122 250539651 260871183 501079302 521742366 751618953 782613549 1503237906 1565227098 2811611639 5623223278 8434834917 16869669834 25304504751 50609009502 75913514253 151827028506