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9072026771072 = 27139761670031
BaseRepresentation
bin1000010000000011111011…
…1011101101111010000000
31012010021111010212220110012
42010000332323231322000
52142114002323133242
631143344230124052
71624301165136416
oct204007673557200
935107433786405
109072026771072
112988474672311
1210262774b0628
1350a647195a65
142351349652b6
1510aeb6bdc282
hex8403eeede80

9072026771072 has 64 divisors (see below), whose sum is σ = 18227148508800. Its totient is φ = 4497455769600.

The previous prime is 9072026771053. The next prime is 9072026771083. The reversal of 9072026771072 is 2701776202709.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a self number, because there is not a number n which added to its sum of digits gives 9072026771072.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13204697 + ... + 13874727.

It is an arithmetic number, because the mean of its divisors is an integer number (284799195450).

Almost surely, 29072026771072 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9072026771072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9113574254400).

9072026771072 is an abundant number, since it is smaller than the sum of its proper divisors (9155121737728).

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

9072026771072 is a wasteful number, since it uses less digits than its factorization.

9072026771072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 670945 (or 670933 counting only the distinct ones).

The product of its (nonzero) digits is 1037232, while the sum is 50.

The spelling of 9072026771072 in words is "nine trillion, seventy-two billion, twenty-six million, seven hundred seventy-one thousand, seventy-two".

Divisors: 1 2 4 8 16 32 64 128 139 278 556 761 1112 1522 2224 3044 4448 6088 8896 12176 17792 24352 48704 97408 105779 211558 423116 670031 846232 1340062 1692464 2680124 3384928 5360248 6769856 10720496 13539712 21440992 42881984 85763968 93134309 186268618 372537236 509893591 745074472 1019787182 1490148944 2039574364 2980297888 4079148728 5960595776 8158297456 11921191552 16316594912 32633189824 65266379648 70875209149 141750418298 283500836596 567001673192 1134003346384 2268006692768 4536013385536 9072026771072