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9716429541 = 3713317914533
BaseRepresentation
bin10010000110010010…
…01111001011100101
3221002011011202120210
421003021033023211
5124344401221131
64244052450033
7462532200630
oct110311171345
927064152523
109716429541
114136742365
121a72019919
13bbb0228c0
14682628c17
153bd047146
hex24324f2e5

9716429541 has 64 divisors (see below), whose sum is σ = 16668753920. Its totient is φ = 4896702720.

The previous prime is 9716429539. The next prime is 9716429561. The reversal of 9716429541 is 1459246179.

It is a happy number.

9716429541 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 9716429541 - 21 = 9716429539 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9716429561) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 661311 + ... + 675843.

It is an arithmetic number, because the mean of its divisors is an integer number (260449280).

Almost surely, 29716429541 is an apocalyptic number.

9716429541 is a gapful number since it is divisible by the number (91) formed by its first and last digit.

It is an amenable number.

9716429541 is a deficient number, since it is larger than the sum of its proper divisors (6952324379).

9716429541 is a wasteful number, since it uses less digits than its factorization.

9716429541 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14666.

The product of its digits is 544320, while the sum is 48.

The square root of 9716429541 is about 98571.9510865033. The cubic root of 9716429541 is about 2133.8746391337.

The spelling of 9716429541 in words is "nine billion, seven hundred sixteen million, four hundred twenty-nine thousand, five hundred forty-one".

Divisors: 1 3 7 13 21 31 39 79 91 93 217 237 273 403 553 651 1027 1209 1659 2449 2821 3081 7189 7347 8463 14533 17143 21567 31837 43599 51429 95511 101731 188929 222859 305193 450523 566787 668577 1148107 1322503 1351569 3153661 3444321 3967509 5856799 8036749 9460983 14925391 17570397 24110247 35591317 40997593 44776173 104477737 106773951 122992779 249139219 313433211 462687121 747417657 1388061363 3238809847 9716429541