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2135968470 = 232523732983
BaseRepresentation
bin111111101010000…
…0100101011010110
312111212012102220100
41333110010223112
513333301442340
6551541114530
7103634301216
oct17724045326
95455172810
102135968470
119a67757a9
124b73b8a46
132806a268c
14163970246
15c77be830
hex7f504ad6

2135968470 has 24 divisors (see below), whose sum is σ = 5553518256. Its totient is φ = 569591568.

The previous prime is 2135968459. The next prime is 2135968477. The reversal of 2135968470 is 748695312.

2135968470 is a `hidden beast` number, since 2 + 13 + 596 + 8 + 47 + 0 = 666.

2135968470 is digitally balanced in base 10, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×21359684702 = 9124722609668281800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

2135968470 is strictly pandigital in base 10.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2135968477) 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 11 ways as a sum of consecutive naturals, for example, 11866402 + ... + 11866581.

It is an arithmetic number, because the mean of its divisors is an integer number (231396594).

It is a 1-persistent number, because it is pandigital, but 2⋅2135968470 = 4271936940 is not.

Almost surely, 22135968470 is an apocalyptic number.

2135968470 is an abundant number, since it is smaller than the sum of its proper divisors (3417549786).

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

2135968470 is a wasteful number, since it uses less digits than its factorization.

2135968470 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23732996 (or 23732993 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 2135968470 is about 46216.5389227709. The cubic root of 2135968470 is about 1287.8490023178.

The spelling of 2135968470 in words is "two billion, one hundred thirty-five million, nine hundred sixty-eight thousand, four hundred seventy".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 23732983 47465966 71198949 118664915 142397898 213596847 237329830 355994745 427193694 711989490 1067984235 2135968470