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12263934788 = 22719235318911
BaseRepresentation
bin10110110101111110…
…01100101101000100
31011122200202102210222
423122333030231010
5200104031403123
65344534403512
7612624503630
oct133277145504
934580672728
1012263934788
1152237427a6
122463200598
131205a45a61
14844ac3dc0
154bba086c8
hex2dafccb44

12263934788 has 96 divisors (see below), whose sum is σ = 27451146240. Its totient is φ = 4672736640.

The previous prime is 12263934773. The next prime is 12263934821. The reversal of 12263934788 is 88743936221.

It is a super-3 number, since 3×122639347883 (a number of 31 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (53).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 639053 + ... + 657963.

It is an arithmetic number, because the mean of its divisors is an integer number (285949440).

Almost surely, 212263934788 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 12263934788, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13725573120).

12263934788 is an abundant number, since it is smaller than the sum of its proper divisors (15187211452).

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

12263934788 is a wasteful number, since it uses less digits than its factorization.

12263934788 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19017 (or 19015 counting only the distinct ones).

The product of its digits is 3483648, while the sum is 53.

The spelling of 12263934788 in words is "twelve billion, two hundred sixty-three million, nine hundred thirty-four thousand, seven hundred eighty-eight".

Divisors: 1 2 4 7 14 19 23 28 38 46 53 76 92 106 133 161 212 266 322 371 437 532 644 742 874 1007 1219 1484 1748 2014 2438 3059 4028 4876 6118 7049 8533 12236 14098 17066 18911 23161 28196 34132 37822 46322 75644 92644 132377 162127 264754 324254 359309 434953 529508 648508 718618 869906 1002283 1437236 1739812 2004566 2515163 3044671 4009132 5030326 6089342 7015981 8264107 10060652 12178684 14031962 16528214 19043377 23052509 28063924 33056428 38086754 46105018 57848749 76173508 92210036 115697498 133303639 161367563 231394996 266607278 322735126 437997671 533214556 645470252 875995342 1751990684 3065983697 6131967394 12263934788