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145370489832576 = 2732367343841039
BaseRepresentation
bin100001000011011010110100…
…011010000100010010000000
3201001201021122101100012121100
4201003122310122010102000
5123023222230344120301
61233102140414254400
742422446153462551
oct4103326432042200
9631637571305540
10145370489832576
1142357307789588
1214379936ab7400
1363164bc383168
1427c7d7d898328
1511c16479d8286
hex8436b4684480

145370489832576 has 96 divisors (see below), whose sum is σ = 419458561516800. Its totient is φ = 48324794844672.

The previous prime is 145370489832551. The next prime is 145370489832619. The reversal of 145370489832576 is 675238984073541.

145370489832576 is a `hidden beast` number, since 1 + 4 + 5 + 3 + 7 + 0 + 48 + 9 + 8 + 3 + 2 + 576 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×1453704898325762 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 171497736 + ... + 172343303.

It is an arithmetic number, because the mean of its divisors is an integer number (4369360015800).

It is a 1-persistent number, because it is pandigital, but 2⋅145370489832576 = 290740979665152 is not.

Almost surely, 2145370489832576 is an apocalyptic number.

145370489832576 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

145370489832576 is an abundant number, since it is smaller than the sum of its proper divisors (274088071684224).

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

145370489832576 is a wasteful number, since it uses less digits than its factorization.

145370489832576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 343841426 (or 343841411 counting only the distinct ones).

The product of its (nonzero) digits is 1219276800, while the sum is 72.

The spelling of 145370489832576 in words is "one hundred forty-five trillion, three hundred seventy billion, four hundred eighty-nine million, eight hundred thirty-two thousand, five hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 367 384 576 734 1101 1152 1468 2202 2936 3303 4404 5872 6606 8808 11744 13212 17616 23488 26424 35232 46976 52848 70464 105696 140928 211392 422784 343841039 687682078 1031523117 1375364156 2063046234 2750728312 3094569351 4126092468 5501456624 6189138702 8252184936 11002913248 12378277404 16504369872 22005826496 24756554808 33008739744 44011652992 49513109616 66017479488 99026219232 126189661313 132034958976 198052438464 252379322626 378568983939 396104876928 504758645252 757137967878 1009517290504 1135706951817 1514275935756 2019034581008 2271413903634 3028551871512 4038069162016 4542827807268 6057103743024 8076138324032 9085655614536 12114207486048 16152276648064 18171311229072 24228414972096 36342622458144 48456829944192 72685244916288 145370489832576