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3144064653 = 3419101113179
BaseRepresentation
bin1011101101100110…
…1001111010001101
322010010010000220000
42323121221322031
522414340032103
61235552114513
7140625052152
oct27331517215
98103100800
103144064653
111373819344
12738b35a39
133b14b59b2
1421b7c8229
1513604eaa3
hexbb669e8d

3144064653 has 80 divisors (see below), whose sum is σ = 5065156800. Its totient is φ = 1937779200.

The previous prime is 3144064639. The next prime is 3144064657. The reversal of 3144064653 is 3564604413.

3144064653 is a `hidden beast` number, since 3 + 1 + 4 + 4 + 0 + 646 + 5 + 3 = 666.

It is not a de Polignac number, because 3144064653 - 25 = 3144064621 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3144064657) by changing a digit.

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 79 ways as a sum of consecutive naturals, for example, 17564518 + ... + 17564696.

It is an arithmetic number, because the mean of its divisors is an integer number (63314460).

Almost surely, 23144064653 is an apocalyptic number.

It is an amenable number.

3144064653 is a deficient number, since it is larger than the sum of its proper divisors (1921092147).

3144064653 is a wasteful number, since it uses less digits than its factorization.

3144064653 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 424 (or 415 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

The square root of 3144064653 is about 56071.9595965755. The cubic root of 3144064653 is about 1464.9759306773.

The spelling of 3144064653 in words is "three billion, one hundred forty-four million, sixty-four thousand, six hundred fifty-three".

Divisors: 1 3 9 19 27 57 81 101 113 171 179 303 339 513 537 909 1017 1539 1611 1919 2147 2727 3051 3401 4833 5757 6441 8181 9153 10203 11413 14499 17271 18079 19323 20227 30609 34239 51813 54237 57969 60681 91827 102717 155439 162711 173907 182043 216847 275481 308151 343501 384313 488133 546129 650541 924453 1030503 1152939 1464399 1638387 1951623 2042927 3091509 3458817 5854869 6128781 9274527 10376451 17564607 18386343 27823581 31129353 38815613 55159029 116446839 165477087 349340517 1048021551 3144064653