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11245261272 = 2337243222379
BaseRepresentation
bin10100111100100010…
…10001000111011000
31002000200221110110020
422132101101013120
5141012241330042
65055504550440
7545445100200
oct123621210730
932020843406
1011245261272
114850725263
12221a022420
1310a299b16b
147896b5400
1545c3893ec
hex29e4511d8

11245261272 has 96 divisors (see below), whose sum is σ = 33463742400. Its totient is φ = 3138198336.

The previous prime is 11245261249. The next prime is 11245261277. The reversal of 11245261272 is 27216254211.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11245261277) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 60622 + ... + 161757.

It is an arithmetic number, because the mean of its divisors is an integer number (348580650).

Almost surely, 211245261272 is an apocalyptic number.

11245261272 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

11245261272 is an abundant number, since it is smaller than the sum of its proper divisors (22218481128).

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

11245261272 is a wasteful number, since it uses less digits than its factorization.

11245261272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222445 (or 222434 counting only the distinct ones).

The product of its digits is 13440, while the sum is 33.

The spelling of 11245261272 in words is "eleven billion, two hundred forty-five million, two hundred sixty-one thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 43 49 56 84 86 98 129 147 168 172 196 258 294 301 344 392 516 588 602 903 1032 1176 1204 1806 2107 2408 3612 4214 6321 7224 8428 12642 16856 25284 50568 222379 444758 667137 889516 1334274 1556653 1779032 2668548 3113306 4669959 5337096 6226612 9339918 9562297 10896571 12453224 18679836 19124594 21793142 28686891 32689713 37359672 38249188 43586284 57373782 65379426 66936079 76498376 87172568 114747564 130758852 133872158 200808237 229495128 261517704 267744316 401616474 468552553 535488632 803232948 937105106 1405657659 1606465896 1874210212 2811315318 3748420424 5622630636 11245261272