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128090523285 = 37567359487
BaseRepresentation
bin111011101001011001…
…0100100011010010101
3110020121211220210000000
41313102302210122111
54044312133221120
6134502144241513
712153126324564
oct1672262443225
9406554823000
10128090523285
114a360840aaa
12209a9310299
13c10440365a
1462b1a55bdb
1534ea3d2990
hex1dd2ca4695

128090523285 has 128 divisors (see below), whose sum is σ = 235102003200. Its totient is φ = 66970069056.

The previous prime is 128090523283. The next prime is 128090523287. The reversal of 128090523285 is 582325090821.

128090523285 is a `hidden beast` number, since 1 + 280 + 90 + 5 + 2 + 3 + 285 = 666.

It is an interprime number because it is at equal distance from previous prime (128090523283) and next prime (128090523287).

It is not a de Polignac number, because 128090523285 - 21 = 128090523283 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 128090523285.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (128090523283) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 263019312 + ... + 263019798.

It is an arithmetic number, because the mean of its divisors is an integer number (1836734400).

Almost surely, 2128090523285 is an apocalyptic number.

128090523285 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

128090523285 is a deficient number, since it is larger than the sum of its proper divisors (107011479915).

128090523285 is an frugal number, since it uses more digits than its factorization.

128090523285 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 939 (or 921 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The spelling of 128090523285 in words is "one hundred twenty-eight billion, ninety million, five hundred twenty-three thousand, two hundred eighty-five".

Divisors: 1 3 5 9 15 27 45 67 81 135 201 243 335 359 405 487 603 729 1005 1077 1215 1461 1795 1809 2187 2435 3015 3231 3645 4383 5385 5427 7305 9045 9693 10935 13149 16155 16281 21915 24053 27135 29079 32629 39447 48465 48843 65745 72159 81405 87237 97887 118341 120265 145395 146529 163145 174833 197235 216477 244215 261711 293661 355023 360795 436185 489435 524499 591705 649431 732645 785133 874165 880983 1065069 1082385 1308555 1468305 1573497 1775115 1948293 2622495 2642949 3247155 3925665 4404915 4720491 5325345 5844879 7867485 7928847 9741465 11713811 13214745 14161473 17534637 23602455 23786541 29224395 35141433 39644235 42484419 52603911 58569055 70807365 71359623 87673185 105424299 118932705 127453257 175707165 212422095 263019555 316272897 356798115 382359771 527121495 637266285 948818691 1581364485 1911798855 2846456073 4744093455 8539368219 14232280365 25618104657 42696841095 128090523285