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18071336052 = 22327118277883
BaseRepresentation
bin10000110101001000…
…101011010001110100
31201122102101222200200
4100311020223101310
5244002230223202
612145111240500
71206552551640
oct206510532164
951572358620
1018071336052
117733886280
123604079130
13191cc49273
14c360b9c20
1570b799e1c
hex43522b474

18071336052 has 144 divisors (see below), whose sum is σ = 57028188672. Its totient is φ = 4687583040.

The previous prime is 18071336009. The next prime is 18071336099. The reversal of 18071336052 is 25063317081.

18071336052 is a `hidden beast` number, since 18 + 0 + 7 + 1 + 33 + 605 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 18071335998 and 18071336016.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2288503 + ... + 2296385.

It is an arithmetic number, because the mean of its divisors is an integer number (396029088).

Almost surely, 218071336052 is an apocalyptic number.

18071336052 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 18071336052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28514094336).

18071336052 is an abundant number, since it is smaller than the sum of its proper divisors (38956852620).

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

18071336052 is a wasteful number, since it uses less digits than its factorization.

18071336052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8738 (or 8733 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The spelling of 18071336052 in words is "eighteen billion, seventy-one million, three hundred thirty-six thousand, fifty-two".

Divisors: 1 2 3 4 6 7 9 11 12 14 18 21 22 28 33 36 42 44 63 66 77 84 99 126 132 154 198 231 252 308 396 462 693 827 924 1386 1654 2481 2772 3308 4962 5789 7443 7883 9097 9924 11578 14886 15766 17367 18194 23156 23649 27291 29772 31532 34734 36388 47298 52101 54582 55181 63679 69468 70947 81873 86713 94596 104202 109164 110362 127358 141894 163746 165543 173426 191037 208404 220724 254716 260139 283788 327492 331086 346852 382074 496629 520278 573111 606991 662172 764148 780417 993258 1040556 1146222 1213982 1560834 1820973 1986516 2292444 2427964 3121668 3641946 5462919 6519241 7283892 10925838 13038482 19557723 21851676 26076964 39115446 45634687 58673169 71711651 78230892 91269374 117346338 136904061 143423302 182538748 215134953 234692676 273808122 286846604 410712183 430269906 501981557 547616244 645404859 821424366 860539812 1003963114 1290809718 1505944671 1642848732 2007926228 2581619436 3011889342 4517834013 6023778684 9035668026 18071336052