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23829170689 = 29253232
BaseRepresentation
bin10110001100010101…
…000100101000000001
32021111200210021221101
4112030111010220001
5342300231430224
614540313454401
71502336415562
oct261425045001
967450707841
1023829170689
11a118a446a5
124750411401
132329ab66cc
141220a8c169
15946eea044
hex58c544a01

23829170689 has 9 divisors (see below), whose sum is σ = 24683837763. Its totient is φ = 23003152872.

The previous prime is 23829170647. The next prime is 23829170719. The reversal of 23829170689 is 98607192832.

The square root of 23829170689 is 154367.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 12495439089 + 11333731600 = 111783^2 + 106460^2 .

It is not a de Polignac number, because 23829170689 - 29 = 23829170177 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (23829170089) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 4473982 + ... + 4479304.

Almost surely, 223829170689 is an apocalyptic number.

23829170689 is a gapful number since it is divisible by the number (29) formed by its first and last digit.

23829170689 is the 154367-th square number.

23829170689 is the 77184-th centered octagonal number.

It is an amenable number.

23829170689 is a deficient number, since it is larger than the sum of its proper divisors (854667074).

23829170689 is an frugal number, since it uses more digits than its factorization.

23829170689 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10704 (or 5352 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 55.

The spelling of 23829170689 in words is "twenty-three billion, eight hundred twenty-nine million, one hundred seventy thousand, six hundred eighty-nine".

Divisors: 1 29 841 5323 154367 4476643 28334329 821695541 23829170689