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180512788040 = 235132274093739
BaseRepresentation
bin1010100000011101100…
…1101000111001001000
3122020221020122202012022
42220013121220321020
510424142233204130
6214532035304012
716020163244654
oct2500731507110
9566836582168
10180512788040
116a611843452
122ab9944b008
1314039c56220
148a45d5da64
154a6774a7e5
hex2a07668e48

180512788040 has 128 divisors (see below), whose sum is σ = 440515152000. Its totient is φ = 66177312768.

The previous prime is 180512788009. The next prime is 180512788069. The reversal of 180512788040 is 40887215081.

It is a junction number, because it is equal to n+sod(n) for n = 180512787982 and 180512788000.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 48276491 + ... + 48280229.

It is an arithmetic number, because the mean of its divisors is an integer number (3441524625).

Almost surely, 2180512788040 is an apocalyptic number.

180512788040 is a gapful number since it is divisible by the number (10) 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 180512788040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220257576000).

180512788040 is an abundant number, since it is smaller than the sum of its proper divisors (260002363960).

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

180512788040 is a wasteful number, since it uses less digits than its factorization.

180512788040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4399 (or 4395 counting only the distinct ones).

The product of its (nonzero) digits is 143360, while the sum is 44.

The spelling of 180512788040 in words is "one hundred eighty billion, five hundred twelve million, seven hundred eighty-eight thousand, forty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 227 260 409 454 520 818 908 1135 1636 1816 2045 2270 2951 3272 3739 4090 4540 5317 5902 7478 8180 9080 10634 11804 14755 14956 16360 18695 21268 23608 26585 29510 29912 37390 42536 48607 53170 59020 74780 92843 97214 106340 118040 149560 185686 194428 212680 243035 371372 388856 464215 486070 742744 848753 928430 972140 1206959 1529251 1697506 1856860 1944280 2413918 3058502 3395012 3713720 4243765 4827836 6034795 6117004 6790024 7646255 8487530 9655672 11033789 12069590 12234008 15292510 16975060 19880263 22067578 24139180 30585020 33950120 39760526 44135156 48278360 55168945 61170040 79521052 88270312 99401315 110337890 159042104 198802630 220675780 347139977 397605260 441351560 694279954 795210520 1388559908 1735699885 2777119816 3471399770 4512819701 6942799540 9025639402 13885599080 18051278804 22564098505 36102557608 45128197010 90256394020 180512788040