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113362123672 = 23721730895507
BaseRepresentation
bin110100110010011101…
…0001011101110011000
3101211121101211120000001
41221210322023232120
53324131200424142
6124024451422344
711122135103200
oct1514472135630
9354541746001
10113362123672
1144092a66416
1219b788b49b4
13a8c7c209b5
1456b5931400
152e3736c5b7
hex1a64e8bb98

113362123672 has 96 divisors (see below), whose sum is σ = 261933490800. Its totient is φ = 45702795264.

The previous prime is 113362123661. The next prime is 113362123673. The reversal of 113362123672 is 276321263311.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113362123673) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20582343 + ... + 20587849.

Almost surely, 2113362123672 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 113362123672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130966745400).

113362123672 is an abundant number, since it is smaller than the sum of its proper divisors (148571367128).

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

113362123672 is a wasteful number, since it uses less digits than its factorization.

113362123672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8633 (or 8622 counting only the distinct ones).

The product of its digits is 54432, while the sum is 37.

Adding to 113362123672 its reverse (276321263311), we get a palindrome (389683386983).

The spelling of 113362123672 in words is "one hundred thirteen billion, three hundred sixty-two million, one hundred twenty-three thousand, six hundred seventy-two".

Divisors: 1 2 4 7 8 14 17 28 34 49 56 68 98 119 136 196 238 392 476 833 952 1666 3089 3332 5507 6178 6664 11014 12356 21623 22028 24712 38549 43246 44056 52513 77098 86492 93619 105026 151361 154196 172984 187238 210052 269843 302722 308392 367591 374476 420104 539686 605444 655333 735182 748952 1079372 1210888 1310666 1470364 2158744 2573137 2621332 2940728 4587331 5146274 5242664 9174662 10292548 17011123 18349324 20585096 34022246 36698648 68044492 119077861 136088984 238155722 289189091 476311444 578378182 833545027 952622888 1156756364 1667090054 2024323637 2313512728 3334180108 4048647274 6668360216 8097294548 14170265459 16194589096 28340530918 56681061836 113362123672