Search a number
-
+
150700669218 = 2321143157112741
BaseRepresentation
bin1000110001011001110…
…1011011100100100010
3112101222120220012100100
42030112131123210202
54432113332403333
6153121514203230
713613334360441
oct2142635334442
9471876805310
10150700669218
1158a03665320
1225259423516
1311298794328
147418860d58
153dc0385213
hex231675b922

150700669218 has 96 divisors (see below), whose sum is σ = 366810155712. Its totient is φ = 44320348800.

The previous prime is 150700669193. The next prime is 150700669243. The reversal of 150700669218 is 812966007051.

150700669218 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (150700669193) and next prime (150700669243).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1280328 + ... + 1393068.

It is an arithmetic number, because the mean of its divisors is an integer number (3820939122).

Almost surely, 2150700669218 is an apocalyptic number.

150700669218 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 150700669218, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183405077856).

150700669218 is an abundant number, since it is smaller than the sum of its proper divisors (216109486494).

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

150700669218 is a wasteful number, since it uses less digits than its factorization.

150700669218 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112960 (or 112957 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 45.

It can be divided in two parts, 150700 and 669218, that added together give a palindrome (819918).

The spelling of 150700669218 in words is "one hundred fifty billion, seven hundred million, six hundred sixty-nine thousand, two hundred eighteen".

Divisors: 1 2 3 6 9 11 18 22 33 43 66 86 99 129 157 198 258 314 387 471 473 774 942 946 1413 1419 1727 2826 2838 3454 4257 5181 6751 8514 10362 13502 15543 20253 31086 40506 60759 74261 112741 121518 148522 222783 225482 338223 445566 668349 676446 1014669 1240151 1336698 2029338 2480302 3720453 4847863 7440906 9695726 11161359 14543589 17700337 22322718 29087178 35400674 43630767 53101011 53326493 87261534 106202022 106652986 159303033 159979479 194703707 318606066 319958958 389407414 479938437 584111121 761114491 959876874 1168222242 1522228982 1752333363 2283343473 3504666726 4566686946 6850030419 8372259401 13700060838 16744518802 25116778203 50233556406 75350334609 150700669218