Search a number
-
+
215304343403512 = 2311210113811594639
BaseRepresentation
bin110000111101000101110010…
…111010000011101111111000
31001020022220010212210020001211
4300331011302322003233320
5211210021243402403022
62041525241102252504
763231140224664626
oct6075056272035770
91036286125706054
10215304343403512
116266a071973500
1220193510b87134
13931a1601154bc
143b24b00422516
1519d586036be77
hexc3d172e83bf8

215304343403512 has 96 divisors (see below), whose sum is σ = 448449731755200. Its totient is φ = 96826419360000.

The previous prime is 215304343403419. The next prime is 215304343403581.

215304343403512 is nontrivially palindromic in base 10.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 134220289 + ... + 135814927.

It is an arithmetic number, because the mean of its divisors is an integer number (4671351372450).

Almost surely, 2215304343403512 is an apocalyptic number.

215304343403512 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 215304343403512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224224865877600).

215304343403512 is an abundant number, since it is smaller than the sum of its proper divisors (233145388351688).

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

215304343403512 is a wasteful number, since it uses less digits than its factorization.

215304343403512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1596149 (or 1596134 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 40.

The spelling of 215304343403512 in words is "two hundred fifteen trillion, three hundred four billion, three hundred forty-three million, four hundred three thousand, five hundred twelve".

Divisors: 1 2 4 8 11 22 44 88 101 121 202 242 404 484 808 968 1111 1381 2222 2762 4444 5524 8888 11048 12221 15191 24442 30382 48884 60764 97768 121528 139481 167101 278962 334202 557924 668404 1115848 1336808 1534291 1594639 3068582 3189278 6137164 6378556 12274328 12757112 16877201 17541029 33754402 35082058 67508804 70164116 135017608 140328232 161058539 192951319 322117078 385902638 644234156 771805276 1288468312 1543610552 1771643929 2202196459 3543287858 4404392918 7086575716 8808785836 14173151432 17617571672 19488083219 24224161049 38976166438 48448322098 77952332876 96896644196 155904665752 193793288392 222421842359 266465771539 444843684718 532931543078 889687369436 1065863086156 1779374738872 2131726172312 2446640265949 4893280531898 9786561063796 19573122127592 26913042925439 53826085850878 107652171701756 215304343403512