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11390348662180 = 2251737905433121
BaseRepresentation
bin1010010111000000010110…
…1011111001010110100100
31111022220110222112021202221
42211300011223321112210
52443104413224142210
640120353130042124
72253632313105235
oct245600553712644
944286428467687
1011390348662180
1136a168a968364
12133b638879344
1364814a3801c7
142b541da1508c
1514b450b171da
hexa5c05af95a4

11390348662180 has 48 divisors (see below), whose sum is σ = 26011282728816. Its totient is φ = 4172235816960.

The previous prime is 11390348662151. The next prime is 11390348662181. The reversal of 11390348662180 is 8126684309311.

It can be written as a sum of positive squares in 8 ways, for example, as 3144997215396 + 8245351446784 = 1773414^2 + 2871472^2 .

It is a super-3 number, since 3×113903486621803 (a number of 40 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (11390348662181) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 452703981 + ... + 452729140.

It is an arithmetic number, because the mean of its divisors is an integer number (541901723517).

Almost surely, 211390348662180 is an apocalyptic number.

11390348662180 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11390348662180 is an abundant number, since it is smaller than the sum of its proper divisors (14620934066636).

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

11390348662180 is a wasteful number, since it uses less digits than its factorization.

11390348662180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 905433184 (or 905433182 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 52.

The spelling of 11390348662180 in words is "eleven trillion, three hundred ninety billion, three hundred forty-eight million, six hundred sixty-two thousand, one hundred eighty".

Divisors: 1 2 4 5 10 17 20 34 37 68 74 85 148 170 185 340 370 629 740 1258 2516 3145 6290 12580 905433121 1810866242 3621732484 4527165605 9054331210 15392363057 18108662420 30784726114 33501025477 61569452228 67002050954 76961815285 134004101908 153923630570 167505127385 307847261140 335010254770 569517433109 670020509540 1139034866218 2278069732436 2847587165545 5695174331090 11390348662180