Search a number
-
+
12972211706394 = 233240226142711
BaseRepresentation
bin1011110011000101010000…
…0100100001101000011010
31200221010112201220221201000
42330301110010201220122
53200014042144101034
643331203553005430
72506132333116213
oct274612404415032
950833481827630
1012972211706394
114151536361496
121556127553876
13731374893135
1432bc0362440a
15177684cdd599
hexbcc54121a1a

12972211706394 has 16 divisors (see below), whose sum is σ = 28827137125440. Its totient is φ = 4324070568780.

The previous prime is 12972211706383. The next prime is 12972211706411. The reversal of 12972211706394 is 49360711227921.

12972211706394 is a `hidden beast` number, since 1 + 29 + 7 + 221 + 1 + 7 + 0 + 6 + 394 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54), and also a Moran number because the ratio is a prime number: 240226142711 = 12972211706394 / (1 + 2 + 9 + 7 + 2 + 2 + 1 + 1 + 7 + 0 + 6 + 3 + 9 + 4).

It is a self number, because there is not a number n which added to its sum of digits gives 12972211706394.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 120113071302 + ... + 120113071409.

It is an arithmetic number, because the mean of its divisors is an integer number (1801696070340).

Almost surely, 212972211706394 is an apocalyptic number.

12972211706394 is an abundant number, since it is smaller than the sum of its proper divisors (15854925419046).

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

12972211706394 is a wasteful number, since it uses less digits than its factorization.

12972211706394 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 240226142722 (or 240226142716 counting only the distinct ones).

The product of its (nonzero) digits is 2286144, while the sum is 54.

The spelling of 12972211706394 in words is "twelve trillion, nine hundred seventy-two billion, two hundred eleven million, seven hundred six thousand, three hundred ninety-four".

Divisors: 1 2 3 6 9 18 27 54 240226142711 480452285422 720678428133 1441356856266 2162035284399 4324070568798 6486105853197 12972211706394