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12234546738 = 232294312
BaseRepresentation
bin10110110010011110…
…00101111000110010
31011120122110100222200
423121033011320302
5200024020443423
65342004444030
7612116634321
oct133117057062
934518410880
1012234546738
1152090a0057
1224553a9616
1311cc92648b
14840c340b8
154b9150d43
hex2d93c5e32

12234546738 has 90 divisors (see below), whose sum is σ = 28369115307. Its totient is φ = 3810537360.

The previous prime is 12234546719. The next prime is 12234546743. The reversal of 12234546738 is 83764543221.

12234546738 is a `hidden beast` number, since 1 + 2 + 2 + 34 + 546 + 73 + 8 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 6713016489 + 5521530249 = 81933^2 + 74307^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=78213.

It is a junction number, because it is equal to n+sod(n) for n = 12234546693 and 12234546702.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 394662783 + ... + 394662813.

Almost surely, 212234546738 is an apocalyptic number.

12234546738 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12234546738

12234546738 is an abundant number, since it is smaller than the sum of its proper divisors (16134568569).

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

12234546738 is an frugal number, since it uses more digits than its factorization.

12234546738 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 186 (or 65 counting only the distinct ones).

The product of its digits is 967680, while the sum is 45.

The spelling of 12234546738 in words is "twelve billion, two hundred thirty-four million, five hundred forty-six thousand, seven hundred thirty-eight".

Divisors: 1 2 3 6 9 18 29 31 58 62 87 93 174 186 261 279 522 558 841 899 961 1682 1798 1922 2523 2697 2883 5046 5394 5766 7569 8091 8649 15138 16182 17298 24389 26071 27869 48778 52142 55738 73167 78213 83607 146334 156426 167214 219501 234639 250821 439002 469278 501642 707281 756059 808201 1414562 1512118 1616402 2121843 2268177 2424603 4243686 4536354 4849206 6365529 6804531 7273809 12731058 13609062 14547618 21925711 23437829 43851422 46875658 65777133 70313487 131554266 140626974 197331399 210940461 394662798 421880922 679697041 1359394082 2039091123 4078182246 6117273369 12234546738