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18056079270 = 232517316172
BaseRepresentation
bin10000110100001110…
…011110011110100110
31201121100200212022200
4100310032132132212
5243434324014040
612143404235330
71206306066345
oct206416363646
951540625280
1018056079270
117726205669
1235bab3bb46
131919a36a98
14c34067b5c
1570a284630
hex43439e7a6

18056079270 has 144 divisors (see below), whose sum is σ = 51394082688. Its totient is φ = 4378429440.

The previous prime is 18056079269. The next prime is 18056079271. The reversal of 18056079270 is 7297065081.

18056079270 is a `hidden beast` number, since 1 + 80 + 560 + 7 + 9 + 2 + 7 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (18056079269) and next prime (18056079271).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18056079271) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 29264002 + ... + 29264618.

It is an arithmetic number, because the mean of its divisors is an integer number (356903352).

Almost surely, 218056079270 is an apocalyptic number.

18056079270 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 18056079270, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25697041344).

18056079270 is an abundant number, since it is smaller than the sum of its proper divisors (33338003418).

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

18056079270 is a wasteful number, since it uses less digits than its factorization.

18056079270 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1295 (or 675 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 45.

The spelling of 18056079270 in words is "eighteen billion, fifty-six million, seventy-nine thousand, two hundred seventy".

Divisors: 1 2 3 5 6 9 10 15 17 18 30 31 34 45 51 62 85 90 93 102 153 155 170 186 255 279 306 310 465 510 527 558 617 765 930 1054 1234 1395 1530 1581 1851 2635 2790 3085 3162 3702 4743 5270 5553 6170 7905 9255 9486 10489 11106 15810 18510 19127 20978 23715 27765 31467 38254 47430 52445 55530 57381 62934 94401 95635 104890 114762 157335 172143 188802 191270 286905 314670 325159 344286 380689 472005 573810 650318 761378 860715 944010 975477 1142067 1625795 1721430 1903445 1950954 2284134 2926431 3251590 3426201 3806890 4877385 5710335 5852862 6471713 6852402 9754770 11420670 11801359 12943426 14632155 17131005 19415139 23602718 29264310 32358565 34262010 35404077 38830278 58245417 59006795 64717130 70808154 97075695 106212231 116490834 118013590 177020385 194151390 200623103 212424462 291227085 354040770 401246206 531061155 582454170 601869309 1003115515 1062122310 1203738618 1805607927 2006231030 3009346545 3611215854 6018693090 9028039635 18056079270