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11251751412 = 22311297141399
BaseRepresentation
bin10100111101010100…
…00001100111110100
31002001011011012020210
422132222001213310
5141020422021122
65100300025420
7545554210656
oct123652014764
932034135223
1011251751412
114854358410
122220232270
1310a4131295
1478a4c46d6
1545cc1c40c
hex29ea819f4

11251751412 has 96 divisors (see below), whose sum is σ = 30046464000. Its totient is φ = 3245603200.

The previous prime is 11251751411. The next prime is 11251751429. The reversal of 11251751412 is 21415715211.

11251751412 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 11251751412.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11251751411) 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 31 ways as a sum of consecutive naturals, for example, 251089 + ... + 292487.

It is an arithmetic number, because the mean of its divisors is an integer number (312984000).

Almost surely, 211251751412 is an apocalyptic number.

11251751412 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 11251751412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15023232000).

11251751412 is an abundant number, since it is smaller than the sum of its proper divisors (18794712588).

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

11251751412 is a wasteful number, since it uses less digits than its factorization.

11251751412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41517 (or 41515 counting only the distinct ones).

The product of its digits is 2800, while the sum is 30.

The spelling of 11251751412 in words is "eleven billion, two hundred fifty-one million, seven hundred fifty-one thousand, four hundred twelve".

Divisors: 1 2 3 4 6 11 12 22 29 33 44 58 66 71 87 116 132 142 174 213 284 319 348 426 638 781 852 957 1276 1562 1914 2059 2343 3124 3828 4118 4686 6177 8236 9372 12354 22649 24708 41399 45298 67947 82798 90596 124197 135894 165596 248394 271788 455389 496788 910778 1200571 1366167 1821556 2401142 2732334 2939329 3601713 4802284 5464668 5878658 7203426 8817987 11757316 13206281 14406852 17635974 26412562 32332619 35271948 39618843 52825124 64665238 79237686 85240541 96997857 129330476 158475372 170481082 193995714 255721623 340962164 387991428 511443246 937645951 1022886492 1875291902 2812937853 3750583804 5625875706 11251751412