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1018803572164 = 227217242412
BaseRepresentation
bin11101101001101010110…
…11001100110111000100
310121101201011122212021201
432310311123030313010
5113143002203302124
62100010520152244
7133414621323100
oct16646533146704
93541634585251
101018803572164
11363088068a84
1214554b308684
13750c3b2cbc1
143744b88c900
151b77c450144
hexed356ccdc4

1018803572164 has 81 divisors (see below), whose sum is σ = 2203688635239. Its totient is φ = 410849080320.

The previous prime is 1018803572099. The next prime is 1018803572173. The reversal of 1018803572164 is 4612753088101.

The square root of 1018803572164 is 1009358.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 681697922500 + 337105649664 = 825650^2 + 580608^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 240225084 + ... + 240229324.

Almost surely, 21018803572164 is an apocalyptic number.

1018803572164 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

1018803572164 is the 1009358-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1018803572164

1018803572164 is an abundant number, since it is smaller than the sum of its proper divisors (1184885063075).

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

1018803572164 is an frugal number, since it uses more digits than its factorization.

1018803572164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8534 (or 4267 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 46.

The spelling of 1018803572164 in words is "one trillion, eighteen billion, eight hundred three million, five hundred seventy-two thousand, one hundred sixty-four".

Divisors: 1 2 4 7 14 17 28 34 49 68 98 119 196 238 289 476 578 833 1156 1666 2023 3332 4046 4241 8092 8482 14161 16964 28322 29687 56644 59374 72097 118748 144194 207809 288388 415618 504679 831236 1009358 1225649 2018716 2451298 3532753 4902596 7065506 8579543 14131012 17159086 17986081 34318172 35972162 60056801 71944324 120113602 125902567 240227204 251805134 305763377 503610268 611526754 881317969 1223053508 1762635938 2140343639 3525271876 4280687278 5197977409 8561374556 10395954818 14982405473 20791909636 29964810946 36385841863 59929621892 72771683726 145543367452 254700893041 509401786082 1018803572164