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2135995312 = 241123475171
BaseRepresentation
bin111111101010000…
…1011001110110000
312111212020210201111
41333110023032300
513333303322222
6551541443104
7103634442403
oct17724131660
95455223644
102135995312
119a6793990
124b7410494
132806b1969
14163979d3a
15c77c7777
hex7f50b3b0

2135995312 has 40 divisors (see below), whose sum is σ = 4517514432. Its totient is φ = 970305600.

The previous prime is 2135995273. The next prime is 2135995321.

2135995312 is nontrivially palindromic in base 10.

It is a Smith number, since the sum of its digits (40) coincides with the sum of the digits of its prime factors.

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 7 ways as a sum of consecutive naturals, for example, 410487 + ... + 415657.

Almost surely, 22135995312 is an apocalyptic number.

2135995312 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

2135995312 is an abundant number, since it is smaller than the sum of its proper divisors (2381519120).

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

2135995312 is a wasteful number, since it uses less digits than its factorization.

2135995312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7537 (or 7531 counting only the distinct ones).

The product of its digits is 72900, while the sum is 40.

The square root of 2135995312 is about 46216.8293157374. The cubic root of 2135995312 is about 1287.8543969508.

The spelling of 2135995312 in words is "two billion, one hundred thirty-five million, nine hundred ninety-five thousand, three hundred twelve".

Divisors: 1 2 4 8 11 16 22 44 88 176 2347 4694 5171 9388 10342 18776 20684 25817 37552 41368 51634 56881 82736 103268 113762 206536 227524 413072 455048 910096 12136337 24272674 48545348 97090696 133499707 194181392 266999414 533998828 1067997656 2135995312