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6427582426320 = 2435112221335483
BaseRepresentation
bin101110110001000100111…
…0001000110110011010000
3211202110201021022100122020
41131202021301012303100
51320302142100120240
621400442434211440
71232243325112236
oct135421161066320
924673637270566
106427582426320
112058a16792a00
12879860423b80
13378170233653
1418314d2c4956
15b22e21120d0
hex5d889c46cd0

6427582426320 has 120 divisors (see below), whose sum is σ = 21901588812768. Its totient is φ = 1558201793280.

The previous prime is 6427582426319. The next prime is 6427582426361. The reversal of 6427582426320 is 236242857246.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 110638702 + ... + 110696781.

Almost surely, 26427582426320 is an apocalyptic number.

6427582426320 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

6427582426320 is an abundant number, since it is smaller than the sum of its proper divisors (15474006386448).

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

6427582426320 is a wasteful number, since it uses less digits than its factorization.

6427582426320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221335521 (or 221335504 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 51.

The spelling of 6427582426320 in words is "six trillion, four hundred twenty-seven billion, five hundred eighty-two million, four hundred twenty-six thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 33 40 44 48 55 60 66 80 88 110 120 121 132 165 176 220 240 242 264 330 363 440 484 528 605 660 726 880 968 1210 1320 1452 1815 1936 2420 2640 2904 3630 4840 5808 7260 9680 14520 29040 221335483 442670966 664006449 885341932 1106677415 1328012898 1770683864 2213354830 2434690313 2656025796 3320032245 3541367728 4426709660 4869380626 5312051592 6640064490 7304070939 8853419320 9738761252 10624103184 12173451565 13280128980 14608141878 17706838640 19477522504 24346903130 26560257960 26781593443 29216283756 36520354695 38955045008 48693806260 53120515920 53563186886 58432567512 73040709390 80344780329 97387612520 107126373772 116865135024 133907967215 146081418780 160689560658 194775225040 214252747544 267815934430 292162837560 321379121316 401723901645 428505495088 535631868860 584325675120 642758242632 803447803290 1071263737720 1285516485264 1606895606580 2142527475440 3213791213160 6427582426320