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9831135840 = 253520481533
BaseRepresentation
bin10010010011111101…
…10011101001100000
3221101011000110001020
421021332303221200
5130113232321330
64303311205440
7465424163421
oct111176635140
927334013036
109831135840
114195468959
121aa4516880
13c08a15156
14693967648
153c8154210
hex249fb3a60

9831135840 has 48 divisors (see below), whose sum is σ = 30968079408. Its totient is φ = 2621636096.

The previous prime is 9831135827. The next prime is 9831135851. The reversal of 9831135840 is 485311389.

9831135840 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a junction number, because it is equal to n+sod(n) for n = 9831135792 and 9831135801.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10240287 + ... + 10241246.

It is an arithmetic number, because the mean of its divisors is an integer number (645168321).

Almost surely, 29831135840 is an apocalyptic number.

It is an amenable number.

9831135840 is an abundant number, since it is smaller than the sum of its proper divisors (21136943568).

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

9831135840 is a wasteful number, since it uses less digits than its factorization.

9831135840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20481551 (or 20481543 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 42.

The square root of 9831135840 is about 99152.0843956394. The cubic root of 9831135840 is about 2142.2388889665.

The spelling of 9831135840 in words is "nine billion, eight hundred thirty-one million, one hundred thirty-five thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 20481533 40963066 61444599 81926132 102407665 122889198 163852264 204815330 245778396 307222995 327704528 409630660 491556792 614445990 655409056 819261320 983113584 1228891980 1638522640 1966227168 2457783960 3277045280 4915567920 9831135840