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918145126368 = 253212725102393
BaseRepresentation
bin11010101110001011011…
…01101100111111100000
310020202220010001000012200
431113011231230333200
5110020330123020433
61541442352253200
7123222330543411
oct15270555547740
93222803030180
10918145126368
11324423a958a8
12129b38b41200
1368771aa0182
143261d1cd808
1518d3a500613
hexd5c5b6cfe0

918145126368 has 72 divisors (see below), whose sum is σ = 2631534167808. Its totient is φ = 303638533632.

The previous prime is 918145126343. The next prime is 918145126387. The reversal of 918145126368 is 863621541819.

It is a happy number.

918145126368 is a `hidden beast` number, since 9 + 1 + 8 + 1 + 4 + 512 + 63 + 68 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12514621 + ... + 12587772.

It is an arithmetic number, because the mean of its divisors is an integer number (36549085664).

Almost surely, 2918145126368 is an apocalyptic number.

It is an amenable number.

918145126368 is an abundant number, since it is smaller than the sum of its proper divisors (1713389041440).

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

918145126368 is a wasteful number, since it uses less digits than its factorization.

918145126368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25102536 (or 25102525 counting only the distinct ones).

The product of its digits is 2488320, while the sum is 54.

The spelling of 918145126368 in words is "nine hundred eighteen billion, one hundred forty-five million, one hundred twenty-six thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 127 144 254 288 381 508 762 1016 1143 1524 2032 2286 3048 4064 4572 6096 9144 12192 18288 36576 25102393 50204786 75307179 100409572 150614358 200819144 225921537 301228716 401638288 451843074 602457432 803276576 903686148 1204914864 1807372296 2409829728 3188003911 3614744592 6376007822 7229489184 9564011733 12752015644 19128023466 25504031288 28692035199 38256046932 51008062576 57384070398 76512093864 102016125152 114768140796 153024187728 229536281592 306048375456 459072563184 918145126368