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52145899854125 = 5371189587103703
BaseRepresentation
bin10111101101101001010011…
…10101100101100100101101
320211122002200102022122012212
423312310221311211210231
523313324300330313000
6302523255022340205
713661263003263320
oct1366645165454455
9224562612278185
1052145899854125
1115684a52032810
125a2228442a665
13231344cc5007c
14cc3c370a67b7
1560667b7b3c35
hex2f6d29d6592d

52145899854125 has 128 divisors (see below), whose sum is σ = 82188522823680. Its totient is φ = 32086228416000.

The previous prime is 52145899853939. The next prime is 52145899854131.

52145899854125 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 52145899854125 - 236 = 52077180377389 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 502787024 + ... + 502890726.

It is an arithmetic number, because the mean of its divisors is an integer number (642097834560).

Almost surely, 252145899854125 is an apocalyptic number.

52145899854125 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

52145899854125 is a deficient number, since it is larger than the sum of its proper divisors (30042622969555).

52145899854125 is a wasteful number, since it uses less digits than its factorization.

52145899854125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104412 (or 104402 counting only the distinct ones).

The product of its digits is 207360000, while the sum is 68.

The spelling of 52145899854125 in words is "fifty-two trillion, one hundred forty-five billion, eight hundred ninety-nine million, eight hundred fifty-four thousand, one hundred twenty-five".

Divisors: 1 5 7 11 25 35 55 77 89 125 175 275 385 445 587 623 875 979 1375 1925 2225 2935 3115 4109 4895 6457 6853 9625 11125 14675 15575 20545 24475 32285 34265 45199 52243 73375 77875 102725 103703 122375 161425 171325 225995 261215 365701 513625 518515 574673 725921 807125 856625 1129975 1140733 1306075 1828505 2592575 2873365 3629605 4022711 5649875 5703665 6530375 7985131 9142525 9229567 12962875 14366825 18148025 20113555 28518325 39925655 45712625 46147835 60873661 64606969 71834125 90740125 100567775 101525237 142591625 199628275 230739175 304368305 323034845 426115627 502838875 507626185 669610271 710676659 998141375 1153695875 1521841525 1615174225 2130578135 2538130925 3348051355 3553383295 4687271897 5417755829 7609207625 8075871125 10652890675 12690654625 16740256775 17766916475 23436359485 27088779145 37924290803 53264453375 59595314119 83701283875 88834582375 117181797425 135443895725 189621454015 297976570595 417167198833 585908987125 677219478625 948107270075 1489882852975 2085835994165 4740536350375 7449414264875 10429179970825 52145899854125