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522988919840401 = 721921719472
BaseRepresentation
bin111011011101001111101100…
…0110010011101111010010001
32112120202020211001000222222221
41312322133120302131322101
51022022122301434343101
65052145443141101041
7215105462655441400
oct16672373062357221
92476666731028887
10522988919840401
1114170539aa58693
124a7a690b0b7781
13195a8849a95061
149320b27bd5637
15406e21e3a2aa1
hex1dba7d8c9de91

522988919840401 has 27 divisors (see below), whose sum is σ = 642083578853769. Its totient is φ = 424680262053768.

The previous prime is 522988919840389. The next prime is 522988919840417. The reversal of 522988919840401 is 104048919889225.

The square root of 522988919840401 is 22868951.

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

It is not a de Polignac number, because 522988919840401 - 227 = 522988785622673 is a prime.

It is not an unprimeable number, because it can be changed into a prime (522988914840401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 3041484510 + ... + 3041656456.

Almost surely, 2522988919840401 is an apocalyptic number.

522988919840401 is the 22868951-st square number.

522988919840401 is the 11434476-th centered octagonal number.

It is an amenable number.

522988919840401 is a deficient number, since it is larger than the sum of its proper divisors (119094659013368).

522988919840401 is an frugal number, since it uses more digits than its factorization.

522988919840401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 343946 (or 171973 counting only the distinct ones).

The product of its (nonzero) digits is 119439360, while the sum is 70.

The spelling of 522988919840401 in words is "five hundred twenty-two trillion, nine hundred eighty-eight billion, nine hundred nineteen million, eight hundred forty thousand, four hundred one".

Divisors: 1 7 19 49 133 361 931 2527 17689 171947 1203629 3266993 8425403 22868951 62072867 160082657 434510069 3041570483 29565770809 206960395663 561749645371 1448722769641 3932247517597 10673243262049 27525732623179 74712702834343 522988919840401