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1268436912 = 243171579901
BaseRepresentation
bin100101110011010…
…1100111110110000
310021101210021022220
41023212230332300
510044204440122
6325511001040
743301351541
oct11346547660
93241707286
101268436912
115a0aaa476
122b4969180
13172a366b2
14c06664c8
157655825c
hex4b9acfb0

1268436912 has 80 divisors (see below), whose sum is σ = 3491999712. Its totient is φ = 395366400.

The previous prime is 1268436907. The next prime is 1268436937. The reversal of 1268436912 is 2196348621.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 123162 + ... + 133062.

Almost surely, 21268436912 is an apocalyptic number.

1268436912 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1268436912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1745999856).

1268436912 is an abundant number, since it is smaller than the sum of its proper divisors (2223562800).

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

1268436912 is a wasteful number, since it uses less digits than its factorization.

1268436912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10086 (or 10080 counting only the distinct ones).

The product of its digits is 124416, while the sum is 42.

The square root of 1268436912 is about 35615.1219568318. The cubic root of 1268436912 is about 1082.4876674382.

The spelling of 1268436912 in words is "one billion, two hundred sixty-eight million, four hundred thirty-six thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 17 24 34 48 51 68 102 136 157 204 272 314 408 471 628 816 942 1256 1884 2512 2669 3768 5338 7536 8007 9901 10676 16014 19802 21352 29703 32028 39604 42704 59406 64056 79208 118812 128112 158416 168317 237624 336634 475248 504951 673268 1009902 1346536 1554457 2019804 2693072 3108914 4039608 4663371 6217828 8079216 9326742 12435656 18653484 24871312 26425769 37306968 52851538 74613936 79277307 105703076 158554614 211406152 317109228 422812304 634218456 1268436912