Search a number
-
+
32023432023 = 3112731378821
BaseRepresentation
bin11101110100101111…
…101100101101010111
310001122202201220021220
4131310233230231113
51011040444311043
622413353141423
72212366452402
oct356457545527
9101582656256
1032023432023
1112643435500
1262586ba873
133034654a5b
14179b082d39
15c765b9483
hex774becb57

32023432023 has 48 divisors (see below), whose sum is σ = 47928020448. Its totient is φ = 19000396800.

The previous prime is 32023432019. The next prime is 32023432043.

It is a happy number.

32023432023 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 32023432023 - 22 = 32023432019 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 32023431984 and 32023432002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32023432043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3625953 + ... + 3634773.

It is an arithmetic number, because the mean of its divisors is an integer number (998500426).

Almost surely, 232023432023 is an apocalyptic number.

32023432023 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

32023432023 is a deficient number, since it is larger than the sum of its proper divisors (15904588425).

32023432023 is a wasteful number, since it uses less digits than its factorization.

32023432023 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9056 (or 9045 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 24.

The spelling of 32023432023 in words is "thirty-two billion, twenty-three million, four hundred thirty-two thousand, twenty-three".

Divisors: 1 3 11 33 73 121 137 219 363 411 803 1507 2409 4521 8821 8833 10001 16577 26463 26499 30003 49731 97031 110011 291093 330033 643933 1067341 1208477 1210121 1931799 3202023 3625431 3630363 7083263 13293247 21249789 39879741 77915893 88218821 146225717 233747679 264656463 438677151 970407031 2911221093 10674477341 32023432023