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9034065712980 = 223257211443210193
BaseRepresentation
bin1000001101110110100001…
…0001110001011101010100
31011222122111120110100102200
42003131220101301131110
52141003231310303410
631114105325004500
71621455366360600
oct203355021613524
934878446410380
109034065712980
112973364639530
12101aa423b3730
13506ba76738c9
142333730ac500
15109ee420b3c0
hex83768471754

9034065712980 has 432 divisors, whose sum is σ = 34853952055104. Its totient is φ = 1872962058240.

The previous prime is 9034065712967. The next prime is 9034065712981. The reversal of 9034065712980 is 892175604309.

9034065712980 is a `hidden beast` number, since 9 + 0 + 3 + 40 + 6 + 571 + 29 + 8 + 0 = 666.

It is a super-2 number, since 2×90340657129802 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9034065712981) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 42874764 + ... + 43084956.

It is an arithmetic number, because the mean of its divisors is an integer number (80680444572).

It is a 1-persistent number, because it is pandigital, but 2⋅9034065712980 = 18068131425960 is not.

Almost surely, 29034065712980 is an apocalyptic number.

9034065712980 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9034065712980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17426976027552).

9034065712980 is an abundant number, since it is smaller than the sum of its proper divisors (25819886342124).

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

9034065712980 is a wasteful number, since it uses less digits than its factorization.

9034065712980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 210676 (or 210664 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The spelling of 9034065712980 in words is "nine trillion, thirty-four billion, sixty-five million, seven hundred twelve thousand, nine hundred eighty".