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9035465978052 = 22366534745149
BaseRepresentation
bin1000001101111011101110…
…1111010111000011000100
31011222210010011022012000000
42003132323233113003010
52141014113242244202
631114500305321300
71621535161416213
oct203367357270304
934883104265000
109035465978052
112973a12a99398
12101b173336230
1350706b7b5c17
1423346704d07a
1510a07710491c
hex837bbbd70c4

9035465978052 has 84 divisors (see below), whose sum is σ = 23743563293100. Its totient is φ = 3007209074112.

The previous prime is 9035465978047. The next prime is 9035465978113. The reversal of 9035465978052 is 2508795645309.

9035465978052 is a `hidden beast` number, since 9 + 0 + 3 + 5 + 465 + 97 + 80 + 5 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 5461120305216 + 3574345672836 = 2336904^2 + 1890594^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 468427 + ... + 4276722.

It is an arithmetic number, because the mean of its divisors is an integer number (282661467775).

Almost surely, 29035465978052 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 9035465978052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11871781646550).

9035465978052 is an abundant number, since it is smaller than the sum of its proper divisors (14708097315048).

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

9035465978052 is a wasteful number, since it uses less digits than its factorization.

9035465978052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4745824 (or 4745807 counting only the distinct ones).

The product of its (nonzero) digits is 81648000, while the sum is 63.

The spelling of 9035465978052 in words is "nine trillion, thirty-five billion, four hundred sixty-five million, nine hundred seventy-eight thousand, fifty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 243 324 486 653 729 972 1306 1458 1959 2612 2916 3918 5877 7836 11754 17631 23508 35262 52893 70524 105786 158679 211572 317358 476037 634716 952074 1904148 4745149 9490298 14235447 18980596 28470894 42706341 56941788 85412682 128119023 170825364 256238046 384357069 512476092 768714138 1153071207 1537428276 2306142414 3098582297 3459213621 4612284828 6197164594 6918427242 9295746891 12394329188 13836854484 18591493782 27887240673 37182987564 55774481346 83661722019 111548962692 167323444038 250985166057 334646888076 501970332114 752955498171 1003940664228 1505910996342 2258866494513 3011821992684 4517732989026 9035465978052