Search a number
-
+
2116038267 = 327197170497
BaseRepresentation
bin111111000100000…
…0010111001111011
312110110200212210200
41332020002321323
513313201211032
6545550013243
7103303012530
oct17610027173
95413625720
102116038267
119964a2962
124b07a7223
13279514c65
14161062d87
15c5b8447c
hex7e202e7b

2116038267 has 24 divisors (see below), whose sum is σ = 3510894816. Its totient is φ = 1203019776.

The previous prime is 2116038259. The next prime is 2116038289. The reversal of 2116038267 is 7628306112.

2116038267 is a `hidden beast` number, since 21 + 1 + 603 + 8 + 26 + 7 = 666.

It is not a de Polignac number, because 2116038267 - 23 = 2116038259 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2116038247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 72838 + ... + 97659.

It is an arithmetic number, because the mean of its divisors is an integer number (146287284).

Almost surely, 22116038267 is an apocalyptic number.

2116038267 is a deficient number, since it is larger than the sum of its proper divisors (1394856549).

2116038267 is a wasteful number, since it uses less digits than its factorization.

2116038267 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170707 (or 170704 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 2116038267 is about 46000.4159437716. The cubic root of 2116038267 is about 1283.8309436928.

The spelling of 2116038267 in words is "two billion, one hundred sixteen million, thirty-eight thousand, two hundred sixty-seven".

Divisors: 1 3 7 9 21 63 197 591 1379 1773 4137 12411 170497 511491 1193479 1534473 3580437 10741311 33587909 100763727 235115363 302291181 705346089 2116038267