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23010213376 = 29476591451
BaseRepresentation
bin10101011011100000…
…111111111000000000
32012101121202221201001
4111123200333320000
5334111103312001
614323140421344
71443133405123
oct253340777000
965347687631
1023010213376
119838735977
1245620a7854
132229226b97
141183dca3ba
158ea17b001
hex55b83fe00

23010213376 has 80 divisors (see below), whose sum is σ = 47057345280. Its totient is φ = 11235481600.

The previous prime is 23010213313. The next prime is 23010213377. The reversal of 23010213376 is 67331201032.

It is a super-3 number, since 3×230102133763 (a number of 32 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23010213377) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15857451 + ... + 15858901.

It is an arithmetic number, because the mean of its divisors is an integer number (588216816).

Almost surely, 223010213376 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 23010213376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23528672640).

23010213376 is an abundant number, since it is smaller than the sum of its proper divisors (24047131904).

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

23010213376 is an equidigital number, since it uses as much as digits as its factorization.

23010213376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2175 (or 2159 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 28.

The spelling of 23010213376 in words is "twenty-three billion, ten million, two hundred thirteen thousand, three hundred seventy-six".

Divisors: 1 2 4 8 16 32 47 64 94 128 188 256 376 512 659 752 1318 1451 1504 2636 2902 3008 5272 5804 6016 10544 11608 12032 21088 23216 24064 30973 42176 46432 61946 68197 84352 92864 123892 136394 168704 185728 247784 272788 337408 371456 495568 545576 742912 956209 991136 1091152 1912418 1982272 2182304 3824836 3964544 4364608 7649672 7929088 8729216 15299344 15858176 17458432 30598688 34916864 44941823 61197376 89883646 122394752 179767292 244789504 359534584 489579008 719069168 1438138336 2876276672 5752553344 11505106688 23010213376