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455420683980 = 22345392971551
BaseRepresentation
bin1101010000010010011…
…00000010011011001100
31121112112001100211010000
412220021030002123030
524430200143341410
6545114541444300
744621514641103
oct6501114023314
91545461324100
10455420683980
11166163115569
127431b570690
1333c3b440a82
14180847c103a
15bca70e1dc0
hex6a093026cc

455420683980 has 120 divisors (see below), whose sum is σ = 1429055147520. Its totient is φ = 121412908800.

The previous prime is 455420683979. The next prime is 455420683987. The reversal of 455420683980 is 89386024554.

455420683980 is a `hidden beast` number, since 4 + 5 + 542 + 0 + 6 + 8 + 3 + 98 + 0 = 666.

It is a super-2 number, since 2×4554206839802 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (455420683987) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 6329205 + ... + 6400755.

It is an arithmetic number, because the mean of its divisors is an integer number (11908792896).

Almost surely, 2455420683980 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 455420683980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (714527573760).

455420683980 is an abundant number, since it is smaller than the sum of its proper divisors (973634463540).

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

455420683980 is a wasteful number, since it uses less digits than its factorization.

455420683980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75501 (or 75490 counting only the distinct ones).

The product of its (nonzero) digits is 8294400, while the sum is 54.

The spelling of 455420683980 in words is "four hundred fifty-five billion, four hundred twenty million, six hundred eighty-three thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 270 324 405 540 810 1620 3929 7858 11787 15716 19645 23574 35361 39290 47148 58935 70722 71551 78580 106083 117870 141444 143102 176805 212166 214653 235740 286204 318249 353610 357755 424332 429306 530415 636498 643959 707220 715510 858612 1060830 1073265 1272996 1287918 1431020 1591245 1931877 2121660 2146530 2575836 3182490 3219795 3863754 4293060 5795631 6364980 6439590 7727508 9659385 11591262 12879180 19318770 23182524 28978155 38637540 57956310 115912620 281123879 562247758 843371637 1124495516 1405619395 1686743274 2530114911 2811238790 3373486548 4216858185 5060229822 5622477580 7590344733 8433716370 10120459644 12650574555 15180689466 16867432740 22771034199 25301149110 30361378932 37951723665 45542068398 50602298220 75903447330 91084136796 113855170995 151806894660 227710341990 455420683980