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918307133136 = 243222212871289
BaseRepresentation
bin11010101110011110101…
…11101101011011010000
310020210022101212210201100
431113033113231123100
5110021143111230021
61541510420504400
7123226335561351
oct15271727553320
93223271783640
10918307133136
113244a7488998
12129b8324b100
1368799514173
1432636921d28
1518d49852626
hexd5cf5ed6d0

918307133136 has 60 divisors (see below), whose sum is σ = 2571142571140. Its totient is φ = 305964449280.

The previous prime is 918307133111. The next prime is 918307133141. The reversal of 918307133136 is 631331703819.

918307133136 is a `hidden beast` number, since 9 + 1 + 8 + 307 + 1 + 331 + 3 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 240154883136 + 678152250000 = 490056^2 + 823500^2 .

It is a junction number, because it is equal to n+sod(n) for n = 918307133091 and 918307133100.

It is a congruent number.

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, 1115821 + ... + 1755468.

Almost surely, 2918307133136 is an apocalyptic number.

It is an amenable number.

918307133136 is an abundant number, since it is smaller than the sum of its proper divisors (1652835438004).

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

918307133136 is a wasteful number, since it uses less digits than its factorization.

918307133136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2873524 (or 2873515 counting only the distinct ones).

The product of its (nonzero) digits is 244944, while the sum is 45.

The spelling of 918307133136 in words is "nine hundred eighteen billion, three hundred seven million, one hundred thirty-three thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 2221 4442 6663 8884 13326 17768 19989 26652 35536 39978 53304 79956 106608 159912 319824 2871289 5742578 8613867 11485156 17227734 22970312 25841601 34455468 45940624 51683202 68910936 103366404 137821872 206732808 413465616 6377132869 12754265738 19131398607 25508531476 38262797214 51017062952 57394195821 76525594428 102034125904 114788391642 153051188856 229576783284 306102377712 459153566568 918307133136