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8838005085 = 32571315114293
BaseRepresentation
bin10000011101100100…
…10100000101011101
3211210221021011202200
420032302110011131
5121100012130320
64020553042113
7432004542450
oct101662240535
924727234680
108838005085
113825907038
1218679b6339
13aab041810
145dbac7497
1536ad7d290
hex20ec9415d

8838005085 has 96 divisors (see below), whose sum is σ = 18980602368. Its totient is φ = 3704486400.

The previous prime is 8838005083. The next prime is 8838005117. The reversal of 8838005085 is 5805008388.

It is not a de Polignac number, because 8838005085 - 21 = 8838005083 is a prime.

It is a super-3 number, since 3×88380050853 (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 8838005085.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8838005081) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 611199 + ... + 625491.

It is an arithmetic number, because the mean of its divisors is an integer number (197714608).

Almost surely, 28838005085 is an apocalyptic number.

It is an amenable number.

8838005085 is an abundant number, since it is smaller than the sum of its proper divisors (10142597283).

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

8838005085 is a wasteful number, since it uses less digits than its factorization.

8838005085 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14475 (or 14472 counting only the distinct ones).

The product of its (nonzero) digits is 307200, while the sum is 45.

The square root of 8838005085 is about 94010.6647407623. The cubic root of 8838005085 is about 2067.5280756812.

The spelling of 8838005085 in words is "eight billion, eight hundred thirty-eight million, five thousand, eighty-five".

Divisors: 1 3 5 7 9 13 15 21 35 39 45 63 65 91 105 117 151 195 273 315 453 455 585 755 819 1057 1359 1365 1963 2265 3171 4095 5285 5889 6795 9513 9815 13741 14293 15855 17667 29445 41223 42879 47565 68705 71465 88335 100051 123669 128637 185809 206115 214395 300153 500255 557427 618345 643185 900459 929045 1300663 1500765 1672281 2158243 2787135 3901989 4502295 6474729 6503315 8361405 10791215 11705967 15107701 19424187 19509945 28057159 32373645 45323103 58529835 75538505 84171477 97120935 135969309 140285795 196400113 226615515 252514431 420857385 589200339 679846545 982000565 1262572155 1767601017 2946001695 8838005085