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2164435936 = 25135202971
BaseRepresentation
bin1000000100000010…
…1010101111100000
312120211202201220221
42001000222233200
513413043422221
6554435212424
7104431254565
oct20100525740
95524681827
102164435936
11a10849833
12504a47114
1328655bc30
1416766086c
15ca044541
hex8102abe0

2164435936 has 24 divisors (see below), whose sum is σ = 4589021304. Its totient is φ = 998970240.

The previous prime is 2164435927. The next prime is 2164435957. The reversal of 2164435936 is 6395344612.

It is a junction number, because it is equal to n+sod(n) for n = 2164435892 and 2164435901.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2601070 + ... + 2601901.

It is an arithmetic number, because the mean of its divisors is an integer number (191209221).

Almost surely, 22164435936 is an apocalyptic number.

2164435936 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

2164435936 is an abundant number, since it is smaller than the sum of its proper divisors (2424585368).

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

2164435936 is a wasteful number, since it uses less digits than its factorization.

2164435936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5202994 (or 5202986 counting only the distinct ones).

The product of its digits is 466560, while the sum is 43.

The square root of 2164435936 is about 46523.4987506314. The cubic root of 2164435936 is about 1293.5451102765.

The spelling of 2164435936 in words is "two billion, one hundred sixty-four million, four hundred thirty-five thousand, nine hundred thirty-six".

Divisors: 1 2 4 8 13 16 26 32 52 104 208 416 5202971 10405942 20811884 41623768 67638623 83247536 135277246 166495072 270554492 541108984 1082217968 2164435936