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18077032477088 = 2513192764915737
BaseRepresentation
bin1000001110000111000110…
…00110010111000110100000
32101000010222110210221112122
410013003203012113012200
54332133230303231323
6102240250222243412
73544010500536044
oct407034306270640
971003873727478
1018077032477088
11583a476625462
12203b549726568
13a11870131570
14466d0c396024
15215359a9aec8
hex1070e31971a0

18077032477088 has 144 divisors (see below), whose sum is σ = 40458011819400. Its totient is φ = 7902592008192.

The previous prime is 18077032477039. The next prime is 18077032477103. The reversal of 18077032477088 is 88077423077081.

It can be written as a sum of positive squares in 4 ways, for example, as 11720845239184 + 6356187237904 = 3423572^2 + 2521148^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 18077032477088.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1148688356 + ... + 1148704092.

Almost surely, 218077032477088 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 18077032477088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20229005909700).

18077032477088 is an abundant number, since it is smaller than the sum of its proper divisors (22380979342312).

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

18077032477088 is a wasteful number, since it uses less digits than its factorization.

18077032477088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23447 (or 23420 counting only the distinct ones).

The product of its (nonzero) digits is 29503488, while the sum is 62.

The spelling of 18077032477088 in words is "eighteen trillion, seventy-seven billion, thirty-two million, four hundred seventy-seven thousand, eighty-eight".

Divisors: 1 2 4 8 13 16 19 26 32 38 52 76 104 152 208 247 304 361 416 494 608 722 988 1444 1976 2888 3952 4693 5776 7649 7904 9386 11552 15298 15737 18772 30596 31474 37544 61192 62948 75088 99437 122384 125896 145331 150176 198874 204581 244768 251792 290662 299003 397748 409162 503584 581324 598006 795496 818324 1162648 1196012 1590992 1636648 1889303 2325296 2392024 2761289 3181984 3273296 3778606 3887039 4650592 4784048 5522578 5681057 6546592 7557212 7774078 9568096 11045156 11362114 15114424 15548156 22090312 22724228 30228848 31096312 35896757 44180624 45448456 60457696 62192624 71793514 73853741 88361248 90896912 120372313 124385248 143587028 147707482 181793824 240744626 287174056 295414964 481489252 574348112 590829928 962978504 1148696224 1181659856 1564840069 1925957008 2287073947 2363319712 3129680138 3851914016 4574147894 6259360276 9148295788 12518720552 18296591576 25037441104 29731961311 36593183152 43454404993 50074882208 59463922622 73186366304 86908809986 118927845244 173817619972 237855690488 347635239944 475711380976 564907264909 695270479888 951422761952 1129814529818 1390540959776 2259629059636 4519258119272 9038516238544 18077032477088