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23006095296 = 263437273833
BaseRepresentation
bin10101011011010001…
…010010011111000000
32012101100000201202120
4111123101102133000
5334104030022141
614322512244240
71443053404062
oct253321223700
965340021676
1023006095296
1198363829a8
124560840680
132228414652
141183637732
158e9b15c66
hex55b4527c0

23006095296 has 112 divisors (see below), whose sum is σ = 62387829504. Its totient is φ = 7478102016.

The previous prime is 23006095279. The next prime is 23006095367. The reversal of 23006095296 is 69259060032.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6000196 + ... + 6004028.

It is an arithmetic number, because the mean of its divisors is an integer number (557034192).

Almost surely, 223006095296 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23006095296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31193914752).

23006095296 is an abundant number, since it is smaller than the sum of its proper divisors (39381734208).

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

23006095296 is a wasteful number, since it uses less digits than its factorization.

23006095296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4618 (or 4608 counting only the distinct ones).

The product of its (nonzero) digits is 174960, while the sum is 42.

The spelling of 23006095296 in words is "twenty-three billion, six million, ninety-five thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 43 48 64 86 96 129 172 192 258 344 516 688 727 1032 1376 1454 2064 2181 2752 2908 3833 4128 4362 5816 7666 8256 8724 11499 11632 15332 17448 22998 23264 30664 31261 34896 45996 46528 61328 62522 69792 91992 93783 122656 125044 139584 164819 183984 187566 245312 250088 329638 367968 375132 494457 500176 659276 735936 750264 988914 1000352 1318552 1500528 1977828 2000704 2637104 2786591 3001056 3955656 5274208 5573182 6002112 7911312 8359773 10548416 11146364 15822624 16719546 22292728 31645248 33439092 44585456 66878184 89170912 119823413 133756368 178341824 239646826 267512736 359470239 479293652 535025472 718940478 958587304 1437880956 1917174608 2875761912 3834349216 5751523824 7668698432 11503047648 23006095296