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42098806080 = 263354872547
BaseRepresentation
bin100111001101010010…
…001100110101000000
311000122221022221012000
4213031102030311000
51142204243243310
631201231304000
73020150642652
oct471522146500
9130587287160
1042098806080
1116943751121
1281aa97b000
133c7bb42b56
1420752266d2
151165db54c0
hex9cd48cd40

42098806080 has 112 divisors (see below), whose sum is σ = 148515263040. Its totient is φ = 11226345984.

The previous prime is 42098806039. The next prime is 42098806081. The reversal of 42098806080 is 8060889024.

It is a happy number.

42098806080 is a `hidden beast` number, since 420 + 98 + 8 + 0 + 60 + 80 = 666.

It is a super-2 number, since 2×420988060802 (a number of 22 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42098806081) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2427634 + ... + 2444913.

Almost surely, 242098806080 is an apocalyptic number.

42098806080 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42098806080 is an abundant number, since it is smaller than the sum of its proper divisors (106416456960).

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

42098806080 is a wasteful number, since it uses less digits than its factorization.

42098806080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4872573 (or 4872557 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The spelling of 42098806080 in words is "forty-two billion, ninety-eight million, eight hundred six thousand, eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 64 72 80 90 96 108 120 135 144 160 180 192 216 240 270 288 320 360 432 480 540 576 720 864 960 1080 1440 1728 2160 2880 4320 8640 4872547 9745094 14617641 19490188 24362735 29235282 38980376 43852923 48725470 58470564 73088205 77960752 87705846 97450940 116941128 131558769 146176410 155921504 175411692 194901880 219264615 233882256 263117538 292352820 311843008 350823384 389803760 438529230 467764512 526235076 584705640 657793845 701646768 779607520 877058460 935529024 1052470152 1169411280 1315587690 1403293536 1559215040 1754116920 2104940304 2338822560 2631175380 2806587072 3508233840 4209880608 4677645120 5262350760 7016467680 8419761216 10524701520 14032935360 21049403040 42098806080