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422855753985 = 32572505137967
BaseRepresentation
bin1100010011101000010…
…10101100000100000001
31111102110112200222020200
412021310022230010001
523412002033111420
6522131322155413
742356521414200
oct6116412540401
91442415628220
10422855753985
1115337205a685
1269b51652b69
1330b4b864622
1416675863237
15aeed213b90
hex62742ac101

422855753985 has 72 divisors (see below), whose sum is σ = 852806537856. Its totient is φ = 193262126400.

The previous prime is 422855753959. The next prime is 422855753987. The reversal of 422855753985 is 589357558224.

It is a happy number.

422855753985 is a `hidden beast` number, since 4 + 2 + 28 + 5 + 575 + 39 + 8 + 5 = 666.

It is not a de Polignac number, because 422855753985 - 25 = 422855753953 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (422855753987) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 11118472 + ... + 11156438.

It is an arithmetic number, because the mean of its divisors is an integer number (11844535248).

Almost surely, 2422855753985 is an apocalyptic number.

422855753985 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

422855753985 is an abundant number, since it is smaller than the sum of its proper divisors (429950783871).

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

422855753985 is a wasteful number, since it uses less digits than its factorization.

422855753985 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43043 (or 43033 counting only the distinct ones).

The product of its digits is 120960000, while the sum is 63.

The spelling of 422855753985 in words is "four hundred twenty-two billion, eight hundred fifty-five million, seven hundred fifty-three thousand, nine hundred eighty-five".

Divisors: 1 3 5 7 9 15 21 35 45 49 63 105 147 245 315 441 735 2205 5051 15153 25255 35357 37967 45459 75765 106071 113901 176785 189835 227295 247499 265769 318213 341703 530355 569505 742497 797307 1237495 1328845 1591065 1708515 1860383 2227491 2391921 3712485 3986535 5581149 9301915 11137455 11959605 16743447 27905745 83717235 191771317 575313951 958856585 1342399219 1725941853 2876569755 4027197657 6711996095 8629709265 9396794533 12081592971 20135988285 28190383599 46983972665 60407964855 84571150797 140951917995 422855753985