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9721838052 = 223510001891
BaseRepresentation
bin10010000110111011…
…10111100111100100
3221002112100112200000
421003131313213210
5124402242304202
64244404421300
7462626155113
oct110335674744
927075315600
109721838052
1141397a6903
121a739a7830
13bbc1975c4
14683235c7a
153bd76491c
hex2437779e4

9721838052 has 36 divisors (see below), whose sum is σ = 25484820816. Its totient is φ = 3240612360.

The previous prime is 9721838047. The next prime is 9721838069. The reversal of 9721838052 is 2508381279.

It is a happy number.

9721838052 is a `hidden beast` number, since 9 + 7 + 218 + 380 + 52 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a junction number, because it is equal to n+sod(n) for n = 9721837989 and 9721838007.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4999974 + ... + 5001917.

Almost surely, 29721838052 is an apocalyptic number.

It is an amenable number.

9721838052 is an abundant number, since it is smaller than the sum of its proper divisors (15762982764).

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

9721838052 is a wasteful number, since it uses less digits than its factorization.

9721838052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10001910 (or 10001896 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The square root of 9721838052 is about 98599.3816004948. The cubic root of 9721838052 is about 2134.2704959204.

The spelling of 9721838052 in words is "nine billion, seven hundred twenty-one million, eight hundred thirty-eight thousand, fifty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 243 324 486 972 10001891 20003782 30005673 40007564 60011346 90017019 120022692 180034038 270051057 360068076 540102114 810153171 1080204228 1620306342 2430459513 3240612684 4860919026 9721838052