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11589532742690 = 2571979110302967
BaseRepresentation
bin1010100010100110010111…
…1110110111010000100010
31112000221121110111222010222
42220221211332313100202
53004340330340231230
640352054032123042
72304213265623230
oct250514576672042
945027543458128
1011589532742690
113769103105131
121372167096482
13660b71634486
142c0d175c5950
1515170c61c6e5
hexa8a65fb7422

11589532742690 has 64 divisors (see below), whose sum is σ = 25413803827200. Its totient is φ = 3716768742336.

The previous prime is 11589532742687. The next prime is 11589532742699. The reversal of 11589532742690 is 9624723598511.

11589532742690 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×115895327426902 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (11589532742699) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 55046414 + ... + 55256553.

It is an arithmetic number, because the mean of its divisors is an integer number (397090684800).

It is a 2-persistent number, because it is pandigital, and so is 2⋅11589532742690 = 23179065485380, but 3⋅11589532742690 = 34768598228070 is not.

Almost surely, 211589532742690 is an apocalyptic number.

11589532742690 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

11589532742690 is an abundant number, since it is smaller than the sum of its proper divisors (13824271084510).

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

11589532742690 is a wasteful number, since it uses less digits than its factorization.

11589532742690 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110303079.

The product of its (nonzero) digits is 32659200, while the sum is 62.

The spelling of 11589532742690 in words is "eleven trillion, five hundred eighty-nine billion, five hundred thirty-two million, seven hundred forty-two thousand, six hundred ninety".

Divisors: 1 2 5 7 10 14 19 35 38 70 79 95 133 158 190 266 395 553 665 790 1106 1330 1501 2765 3002 5530 7505 10507 15010 21014 52535 105070 110302967 220605934 551514835 772120769 1103029670 1544241538 2095756373 3860603845 4191512746 7721207690 8713934393 10478781865 14670294611 17427868786 20957563730 29340589222 43569671965 60997540751 73351473055 87139343930 121995081502 146702946110 165564753467 304987703755 331129506934 609975407510 827823767335 1158953274269 1655647534670 2317906548538 5794766371345 11589532742690