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151665151506 = 23112383214503
BaseRepresentation
bin1000110100111111110…
…0101000111000010010
3112111110210201222022120
42031033330220320102
54441102234322011
6153401330315110
713646255342241
oct2151774507022
9474423658276
10151665151506
115935902a120
1225488428a96
13113c0546bcb
1474aa9a4958
153e29d9ca06
hex234ff28e12

151665151506 has 96 divisors (see below), whose sum is σ = 349527370752. Its totient is φ = 43428269280.

The previous prime is 151665151487. The next prime is 151665151537. The reversal of 151665151506 is 605151566151.

151665151506 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10450251 + ... + 10464753.

It is an arithmetic number, because the mean of its divisors is an integer number (3640910112).

Almost surely, 2151665151506 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 151665151506, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174763685376).

151665151506 is an abundant number, since it is smaller than the sum of its proper divisors (197862219246).

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

151665151506 is a wasteful number, since it uses less digits than its factorization.

151665151506 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14708 (or 14625 counting only the distinct ones).

The product of its (nonzero) digits is 135000, while the sum is 42.

The spelling of 151665151506 in words is "one hundred fifty-one billion, six hundred sixty-five million, one hundred fifty-one thousand, five hundred six".

Divisors: 1 2 3 6 11 22 23 33 46 66 69 83 138 166 249 253 498 506 759 913 1518 1826 1909 2739 3818 5478 5727 6889 11454 13778 14503 20667 20999 29006 41334 41998 43509 62997 75779 87018 125994 151558 158447 159533 227337 316894 319066 333569 454674 475341 478599 667138 950682 957198 1000707 1203749 1742917 2001414 2407498 3485834 3611247 3669259 5228751 7222494 7338518 10457502 11007777 13241239 22015554 26482478 27686227 39723717 55372454 79447434 83058681 99911167 166117362 199822334 299733501 304548497 599467002 609096994 913645491 1099022837 1827290982 2198045674 2297956841 3297068511 4595913682 6594137022 6893870523 13787741046 25277525251 50555050502 75832575753 151665151506