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11930088791844 = 22321737526854301
BaseRepresentation
bin1010110110011011000010…
…1101000101111100100100
31120020111122101210202102200
42231212300231011330210
53030430310212314334
641212335050134500
72340630502364136
oct255466055057444
946214571722380
1011930088791844
11388a582119423
12140816a721430
136870057932b2
142d35c2abb056
1515a4e04ed799
hexad9b0b45f24

11930088791844 has 72 divisors (see below), whose sum is σ = 32793519173688. Its totient is φ = 3641616921600.

The previous prime is 11930088791837. The next prime is 11930088791879. The reversal of 11930088791844 is 44819788003911.

11930088791844 is a `hidden beast` number, since 1 + 1 + 9 + 300 + 88 + 79 + 184 + 4 = 666.

11930088791844 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 2181269055744 + 9748819736100 = 1476912^2 + 3122310^2 .

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, 263404507 + ... + 263449794.

It is an arithmetic number, because the mean of its divisors is an integer number (455465544079).

Almost surely, 211930088791844 is an apocalyptic number.

It is an amenable number.

11930088791844 is an abundant number, since it is smaller than the sum of its proper divisors (20863430381844).

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

11930088791844 is a wasteful number, since it uses less digits than its factorization.

11930088791844 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 526854365 (or 526854360 counting only the distinct ones).

The product of its (nonzero) digits is 13934592, while the sum is 63.

The spelling of 11930088791844 in words is "eleven trillion, nine hundred thirty billion, eighty-eight million, seven hundred ninety-one thousand, eight hundred forty-four".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 37 51 68 74 102 111 148 153 204 222 306 333 444 612 629 666 1258 1332 1887 2516 3774 5661 7548 11322 22644 526854301 1053708602 1580562903 2107417204 3161125806 4741688709 6322251612 8956523117 9483377418 17913046234 18966754836 19493609137 26869569351 35826092468 38987218274 53739138702 58480827411 77974436548 80608708053 107478277404 116961654822 161217416106 175442482233 233923309644 322434832212 331391355329 350884964466 662782710658 701769928932 994174065987 1325565421316 1988348131974 2982522197961 3976696263948 5965044395922 11930088791844