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23584052041 = 1122326072
BaseRepresentation
bin10101111101101110…
…000001001101001001
32020212121112222100221
4111331232001031021
5341300004131131
614500120030041
71463302064134
oct257556011511
966777488327
1023584052041
11a002645400
1246a2302321
1322bb092aa4
1411da2c321b
1593072c411
hex57db81349

23584052041 has 27 divisors (see below), whose sum is σ = 27143773293. Its totient is φ = 20474085720.

The previous prime is 23584052033. The next prime is 23584052131. The reversal of 23584052041 is 14025048532.

The square root of 23584052041 is 153571.

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

It is not a de Polignac number, because 23584052041 - 23 = 23584052033 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 23584051988 and 23584052006.

It is not an unprimeable number, because it can be changed into a prime (23584052641) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 38853160 + ... + 38853766.

Almost surely, 223584052041 is an apocalyptic number.

23584052041 is the 153571-st square number.

23584052041 is the 76786-th centered octagonal number.

It is an amenable number.

23584052041 is a deficient number, since it is larger than the sum of its proper divisors (3559721252).

23584052041 is an frugal number, since it uses more digits than its factorization.

23584052041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1282 (or 641 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 34.

The spelling of 23584052041 in words is "twenty-three billion, five hundred eighty-four million, fifty-two thousand, forty-one".

Divisors: 1 11 23 121 253 529 607 2783 5819 6677 13961 64009 73447 153571 321103 368449 1689281 3532133 4052939 8474327 38853463 44582329 93217597 194909521 1025393567 2144004731 23584052041