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2159249696 = 251731612099
BaseRepresentation
bin1000000010110011…
…1000100100100000
312120111000020201222
42000230320210200
513410231442241
6554132114212
7104336214422
oct20054704440
95514006658
102159249696
11a0892728a
12503165968
13285464456
14166ab0812
15c986ca4b
hex80b38920

2159249696 has 96 divisors (see below), whose sum is σ = 4724697600. Its totient is φ = 966758400.

The previous prime is 2159249693. The next prime is 2159249711. The reversal of 2159249696 is 6969429512.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (2159249693) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1027655 + ... + 1029753.

It is an arithmetic number, because the mean of its divisors is an integer number (49215600).

Almost surely, 22159249696 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 2159249696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2362348800).

2159249696 is an abundant number, since it is smaller than the sum of its proper divisors (2565447904).

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

2159249696 is a wasteful number, since it uses less digits than its factorization.

2159249696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2218 (or 2210 counting only the distinct ones).

The product of its digits is 2099520, while the sum is 53.

The square root of 2159249696 is about 46467.7274675661. The cubic root of 2159249696 is about 1292.5111225219.

The spelling of 2159249696 in words is "two billion, one hundred fifty-nine million, two hundred forty-nine thousand, six hundred ninety-six".

Divisors: 1 2 4 8 16 17 31 32 34 61 62 68 122 124 136 244 248 272 488 496 527 544 976 992 1037 1054 1891 1952 2074 2099 2108 3782 4148 4198 4216 7564 8296 8396 8432 15128 16592 16792 16864 30256 32147 33184 33584 35683 60512 64294 65069 67168 71366 128039 128588 130138 142732 256078 257176 260276 285464 512156 514352 520552 570928 1024312 1028704 1041104 1106173 1141856 2048624 2082208 2176663 2212346 3969209 4097248 4353326 4424692 7938418 8706652 8849384 15876836 17413304 17698768 31753672 34826608 35397536 63507344 67476553 69653216 127014688 134953106 269906212 539812424 1079624848 2159249696