Search a number
-
+
2139819372 = 2232377612111
BaseRepresentation
bin111111110001011…
…0000110101101100
312112010110002100100
41333202300311230
513340243204442
6552155431100
7104012110305
oct17742606554
95463402310
102139819372
119a8965a69
124b8755490
13281420412
141642937ac
15c7cd084c
hex7f8b0d6c

2139819372 has 72 divisors (see below), whose sum is σ = 5565111552. Its totient is φ = 692755200.

The previous prime is 2139819343. The next prime is 2139819377. The reversal of 2139819372 is 2739189312.

2139819372 is a `hidden beast` number, since 2 + 1 + 398 + 193 + 72 = 666.

It is not an unprimeable number, because it can be changed into a prime (2139819377) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1012597 + ... + 1014707.

It is an arithmetic number, because the mean of its divisors is an integer number (77293216).

Almost surely, 22139819372 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2139819372, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2782555776).

2139819372 is an abundant number, since it is smaller than the sum of its proper divisors (3425292180).

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

2139819372 is a wasteful number, since it uses less digits than its factorization.

2139819372 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2919 (or 2914 counting only the distinct ones).

The product of its digits is 163296, while the sum is 45.

The square root of 2139819372 is about 46258.1816763262. The cubic root of 2139819372 is about 1288.6224848473.

The spelling of 2139819372 in words is "two billion, one hundred thirty-nine million, eight hundred nineteen thousand, three hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 18 36 37 74 111 148 222 333 444 666 761 1332 1522 2111 2283 3044 4222 4566 6333 6849 8444 9132 12666 13698 18999 25332 27396 28157 37998 56314 75996 78107 84471 112628 156214 168942 234321 253413 312428 337884 468642 506826 702963 937284 1013652 1405926 1606471 2811852 3212942 4819413 6425884 9638826 14458239 19277652 28916478 57832956 59439427 118878854 178318281 237757708 356636562 534954843 713273124 1069909686 2139819372