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21648829143 = 3234110175767
BaseRepresentation
bin10100001010010111…
…101110101011010111
32001212202002110121210
4110022113232223113
5323314100013033
613540105312503
71364323003644
oct241227565327
961782073553
1021648829143
1191aa221837
124242195733
132070178b96
14109528adcb
1586a8b2d63
hex50a5eead7

21648829143 has 32 divisors (see below), whose sum is σ = 31160650752. Its totient is φ = 13334816000.

The previous prime is 21648829141. The next prime is 21648829217. The reversal of 21648829143 is 34192884612.

It is a cyclic number.

It is not a de Polignac number, because 21648829143 - 21 = 21648829141 is a prime.

It is a super-2 number, since 2×216488291432 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 21648829092 and 21648829101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21648829141) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 247846 + ... + 323612.

It is an arithmetic number, because the mean of its divisors is an integer number (973770336).

Almost surely, 221648829143 is an apocalyptic number.

21648829143 is a gapful number since it is divisible by the number (23) formed by its first and last digit.

21648829143 is a deficient number, since it is larger than the sum of its proper divisors (9511821609).

21648829143 is a wasteful number, since it uses less digits than its factorization.

21648829143 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75935.

The product of its digits is 663552, while the sum is 48.

The spelling of 21648829143 in words is "twenty-one billion, six hundred forty-eight million, eight hundred twenty-nine thousand, one hundred forty-three".

Divisors: 1 3 23 41 69 101 123 303 943 2323 2829 4141 6969 12423 75767 95243 227301 285729 1742641 3106447 5227923 7652467 9319341 22957401 71448281 176006741 214344843 313751147 528020223 941253441 7216276381 21648829143