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523424121424325 = 5211328171877789
BaseRepresentation
bin111011100000011010010110…
…0110100110000100111000101
32112122021212010222121010002022
41313000310230310300213011
51022101240100041034300
65053121415525252525
7215152100451041102
oct16700645464604705
92478255128533068
10523424121424325
11141862a179a6000
124a857127264145
131960a8b53172a4
149337c11179aa9
15407a6e139a285
hex1dc0d2cd309c5

523424121424325 has 96 divisors (see below), whose sum is σ = 716633993381760. Its totient is φ = 379215912768000.

The previous prime is 523424121424313. The next prime is 523424121424363.

523424121424325 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 523424121424325 - 28 = 523424121424069 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 67200422531 + ... + 67200430319.

It is an arithmetic number, because the mean of its divisors is an integer number (7464937431060).

Almost surely, 2523424121424325 is an apocalyptic number.

523424121424325 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

523424121424325 is a deficient number, since it is larger than the sum of its proper divisors (193209871957435).

523424121424325 is a wasteful number, since it uses less digits than its factorization.

523424121424325 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15300 (or 15273 counting only the distinct ones).

The product of its digits is 1843200, while the sum is 44.

The spelling of 523424121424325 in words is "five hundred twenty-three trillion, four hundred twenty-four billion, one hundred twenty-one million, four hundred twenty-four thousand, three hundred twenty-five".

Divisors: 1 5 11 25 55 121 275 281 605 1331 1405 3025 3091 6655 7025 7187 7789 15455 33275 34001 35935 38945 77275 79057 85679 170005 179675 194725 374011 395285 428395 850025 869627 942469 1870055 1976425 2019547 2141975 2188709 4348135 4712345 9350275 9565897 10097735 10367159 10943545 21740675 22215017 23561725 24075799 47829485 50488675 51835795 54717725 55979543 111075085 120378995 239147425 244365187 259178975 264833789 279897715 555375425 601894975 615774973 1221825935 1324168945 1399488575 2688017057 2913171679 3078874865 6109129675 6620844725 6773524703 13440085285 14565858395 15394374325 15730251583 33867623515 67200426425 72829291975 74508771733 78651257915 169338117575 173032767413 372543858665 393256289575 865163837065 1862719293325 1903360441543 4325819185325 9516802207715 20936964856973 47584011038575 104684824284865 523424121424325