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2135695401 = 327297914797
BaseRepresentation
bin111111101001100…
…0010000000101001
312111211200120022200
41333103002000221
513333214223101
6551531210413
7103632053130
oct17723020051
95454616280
102135695401
119a65a9624
124b72a6a09
132806082b8
141638dc917
15c7768986
hex7f4c2029

2135695401 has 48 divisors (see below), whose sum is σ = 3693580800. Its totient is φ = 1163320704.

The previous prime is 2135695391. The next prime is 2135695403. The reversal of 2135695401 is 1045965312.

2135695401 is a `hidden beast` number, since 21 + 35 + 69 + 540 + 1 = 666.

It is not a de Polignac number, because 2135695401 - 27 = 2135695273 is a prime.

It is a super-2 number, since 2×21356954012 = 9122389691705101602, which contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (2135695403) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 136935 + ... + 151731.

It is an arithmetic number, because the mean of its divisors is an integer number (76949600).

Almost surely, 22135695401 is an apocalyptic number.

2135695401 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

2135695401 is a deficient number, since it is larger than the sum of its proper divisors (1557885399).

2135695401 is a wasteful number, since it uses less digits than its factorization.

2135695401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14918 (or 14915 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The square root of 2135695401 is about 46213.5845937101. The cubic root of 2135695401 is about 1287.7941190753.

The spelling of 2135695401 in words is "two billion, one hundred thirty-five million, six hundred ninety-five thousand, four hundred one".

Divisors: 1 3 7 9 21 29 63 79 87 203 237 261 553 609 711 1659 1827 2291 4977 6873 14797 16037 20619 44391 48111 103579 133173 144333 310737 429113 932211 1168963 1287339 3003791 3506889 3862017 8182741 9011373 10520667 24548223 27034119 33899927 73644669 101699781 237299489 305099343 711898467 2135695401