Search a number
-
+
13972558212 = 22331376591433
BaseRepresentation
bin11010000001101010…
…00101000110000100
31100001202211111112000
431000311011012010
5212103433330322
610230252225300
71003152533214
oct150065050604
940052744460
1013972558212
115a20165878
12285b46b230
131418a21432
149679b2244
1556ba123ac
hex340d45184

13972558212 has 96 divisors (see below), whose sum is σ = 36570441600. Its totient is φ = 4613285376.

The previous prime is 13972558207. The next prime is 13972558217. The reversal of 13972558212 is 21285527931.

13972558212 is a `hidden beast` number, since 1 + 3 + 9 + 72 + 558 + 21 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (13972558207) and next prime (13972558217).

It is not an unprimeable number, because it can be changed into a prime (13972558217) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9749848 + ... + 9751280.

It is an arithmetic number, because the mean of its divisors is an integer number (380942100).

Almost surely, 213972558212 is an apocalyptic number.

13972558212 is a gapful number since it is divisible by the number (12) 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 13972558212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18285220800).

13972558212 is an abundant number, since it is smaller than the sum of its proper divisors (22597883388).

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

13972558212 is a wasteful number, since it uses less digits than its factorization.

13972558212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2242 (or 2234 counting only the distinct ones).

The product of its digits is 302400, while the sum is 45.

The spelling of 13972558212 in words is "thirteen billion, nine hundred seventy-two million, five hundred fifty-eight thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 137 274 411 548 659 822 1233 1318 1433 1644 1977 2466 2636 2866 3699 3954 4299 4932 5732 5931 7398 7908 8598 11862 12897 14796 17196 17793 23724 25794 35586 38691 51588 71172 77382 90283 154764 180566 196321 270849 361132 392642 541698 588963 785284 812547 944347 1083396 1177926 1625094 1766889 1888694 2355852 2437641 2833041 3250188 3533778 3777388 4875282 5300667 5666082 7067556 8499123 9750564 10601334 11332164 16998246 21202668 25497369 33996492 50994738 101989476 129375539 258751078 388126617 517502156 776253234 1164379851 1552506468 2328759702 3493139553 4657519404 6986279106 13972558212