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11346123432 = 2337311397547
BaseRepresentation
bin10101001000100100…
…00001101010101000
31002021201201210022210
422210102001222220
5141214101422212
65113510445120
7551111313030
oct124422015250
932251653283
1011346123432
1148a2655516
1222479637a0
1310ba854207
14798c4c8c0
1546615e53c
hex2a4481aa8

11346123432 has 128 divisors (see below), whose sum is σ = 32663255040. Its totient is φ = 3217294080.

The previous prime is 11346123431. The next prime is 11346123461. The reversal of 11346123432 is 23432164311.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 11346123432.

It is not an unprimeable number, because it can be changed into a prime (11346123431) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20742183 + ... + 20742729.

It is an arithmetic number, because the mean of its divisors is an integer number (255181680).

Almost surely, 211346123432 is an apocalyptic number.

11346123432 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 11346123432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16331627520).

11346123432 is an abundant number, since it is smaller than the sum of its proper divisors (21317131608).

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

11346123432 is a wasteful number, since it uses less digits than its factorization.

11346123432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1271 (or 1267 counting only the distinct ones).

The product of its digits is 10368, while the sum is 30.

Adding to 11346123432 its reverse (23432164311), we get a palindrome (34778287743).

The spelling of 11346123432 in words is "eleven billion, three hundred forty-six million, one hundred twenty-three thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 311 397 547 622 794 933 1094 1191 1244 1588 1641 1866 2177 2188 2382 2488 2779 3176 3282 3732 3829 4354 4376 4764 5558 6531 6564 7464 7658 8337 8708 9528 11116 11487 13062 13128 15316 16674 17416 22232 22974 26124 30632 33348 45948 52248 66696 91896 123467 170117 217159 246934 340234 370401 434318 493868 510351 651477 680468 740802 864269 868636 987736 1020702 1190819 1302954 1360936 1481604 1520113 1728538 1737272 2041404 2381638 2592807 2605908 2963208 3040226 3457076 3572457 4082808 4560339 4763276 5185614 5211816 6080452 6914152 7144914 9120678 9526552 10371228 12160904 14289828 18241356 20742456 28579656 36482712 67536449 135072898 202609347 270145796 405218694 472755143 540291592 810437388 945510286 1418265429 1620874776 1891020572 2836530858 3782041144 5673061716 11346123432