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2136293848 = 2313217412267
BaseRepresentation
bin111111101010101…
…0100000111011000
312111212210222020101
41333111110013120
513333342400343
6551552105144
7103640124643
oct17725240730
95455728211
102136293848
119a6978207
124b75351b4
13280787800
14163a16a5a
15c7835e4d
hex7f5541d8

2136293848 has 96 divisors (see below), whose sum is σ = 4706598960. Its totient is φ = 904949760.

The previous prime is 2136293837. The next prime is 2136293857. The reversal of 2136293848 is 8483926312.

It is a junction number, because it is equal to n+sod(n) for n = 2136293798 and 2136293807.

It is a congruent number.

It is an unprimeable number.

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, 941211 + ... + 943477.

Almost surely, 22136293848 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 2136293848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2353299480).

2136293848 is an abundant number, since it is smaller than the sum of its proper divisors (2570305112).

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

2136293848 is a wasteful number, since it uses less digits than its factorization.

2136293848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2357 (or 2340 counting only the distinct ones).

The product of its digits is 497664, while the sum is 46.

The square root of 2136293848 is about 46220.0589354882. The cubic root of 2136293848 is about 1287.9143928674.

The spelling of 2136293848 in words is "two billion, one hundred thirty-six million, two hundred ninety-three thousand, eight hundred forty-eight".

Divisors: 1 2 4 8 13 17 26 34 41 52 68 82 104 136 164 169 221 328 338 442 533 676 697 884 1066 1352 1394 1768 2132 2267 2788 2873 4264 4534 5576 5746 6929 9061 9068 11492 13858 18122 18136 22984 27716 29471 36244 38539 55432 58942 72488 77078 92947 117793 117884 154156 185894 235586 235768 308312 371788 383123 471172 501007 743576 766246 942344 1002014 1208311 1532492 1580099 2004028 2416622 3064984 3160198 4008056 4833244 6320396 6513091 9666488 12640792 13026182 15708043 20541287 26052364 31416086 41082574 52104728 62832172 82165148 125664344 164330296 267036731 534073462 1068146924 2136293848