Search a number
-
+
2139554907 = 3271719105143
BaseRepresentation
bin111111110000111…
…0000010001011011
312112002221122120100
41333201300101123
513340211224112
6552150030443
7104006626260
oct17741602133
95462848510
102139554907
119a87a52a6
124b8648423
13281359c29
14164225267
15c7c7c2dc
hex7f87045b

2139554907 has 48 divisors (see below), whose sum is σ = 3936591360. Its totient is φ = 1090112256.

The previous prime is 2139554897. The next prime is 2139554909. The reversal of 2139554907 is 7094559312.

It is a happy number.

2139554907 is a `hidden beast` number, since 2 + 1 + 3 + 9 + 554 + 90 + 7 = 666.

It is not a de Polignac number, because 2139554907 - 24 = 2139554891 is a prime.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (2139554909) 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 47 ways as a sum of consecutive naturals, for example, 32223 + ... + 72920.

It is an arithmetic number, because the mean of its divisors is an integer number (82012320).

Almost surely, 22139554907 is an apocalyptic number.

2139554907 is a deficient number, since it is larger than the sum of its proper divisors (1797036453).

2139554907 is a wasteful number, since it uses less digits than its factorization.

2139554907 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105192 (or 105189 counting only the distinct ones).

The product of its (nonzero) digits is 340200, while the sum is 45.

The square root of 2139554907 is about 46255.3230126004. The cubic root of 2139554907 is about 1288.5693947609.

The spelling of 2139554907 in words is "two billion, one hundred thirty-nine million, five hundred fifty-four thousand, nine hundred seven".

Divisors: 1 3 7 9 17 19 21 51 57 63 119 133 153 171 323 357 399 969 1071 1197 2261 2907 6783 20349 105143 315429 736001 946287 1787431 1997717 2208003 5362293 5993151 6624009 12512017 13984019 16086879 17979453 33961189 37536051 41952057 101883567 112608153 125856171 237728323 305650701 713184969 2139554907