Search a number
-
+
151820332716 = 223132435713049
BaseRepresentation
bin1000110101100100110…
…0100110111010101100
3112111212121201222220210
42031121030212322230
54441412001121331
6153424552342420
713653151351503
oct2153114467254
9474777658823
10151820332716
1159428690058
12255103a4a10
131141673b200
1474c343b83a
153e38802446
hex2359326eac

151820332716 has 144 divisors (see below), whose sum is σ = 393330537600. Its totient is φ = 45532730880.

The previous prime is 151820332709. The next prime is 151820332771. The reversal of 151820332716 is 617233028151.

It is a happy number.

151820332716 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (39).

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, 49791960 + ... + 49795008.

Almost surely, 2151820332716 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 151820332716, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196665268800).

151820332716 is an abundant number, since it is smaller than the sum of its proper divisors (241510204884).

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

151820332716 is a wasteful number, since it uses less digits than its factorization.

151820332716 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3696 (or 3681 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 39.

The spelling of 151820332716 in words is "one hundred fifty-one billion, eight hundred twenty million, three hundred thirty-two thousand, seven hundred sixteen".

Divisors: 1 2 3 4 6 12 13 26 39 43 52 78 86 129 156 169 172 258 338 507 516 559 571 676 1014 1118 1142 1677 1713 2028 2236 2284 3049 3354 3426 6098 6708 6852 7267 7423 9147 12196 14534 14846 18294 21801 22269 24553 29068 29692 36588 39637 43602 44538 49106 73659 79274 87204 89076 96499 98212 118911 131107 147318 158548 192998 237822 262214 289497 294636 319189 385996 393321 475644 515281 524428 578994 638378 786642 957567 1030562 1157988 1276756 1545843 1573284 1704391 1740979 1915134 2061124 3091686 3408782 3481958 3830268 4149457 5113173 5222937 6183372 6817564 6963916 8298914 10226346 10445874 12448371 16597828 20452692 20891748 22157083 22632727 24896742 44314166 45265454 49793484 66471249 67898181 74862097 88628332 90530908 132942498 135796362 149724194 224586291 265884996 271592724 294225451 299448388 449172582 588450902 882676353 898345164 973207261 1176901804 1765352706 1946414522 2919621783 3530705412 3892829044 5839243566 11678487132 12651694393 25303388786 37955083179 50606777572 75910166358 151820332716