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4056129297 = 3311172273539
BaseRepresentation
bin1111000111000011…
…1001111100010001
3101110200022201101000
43301300321330101
531301332114142
61510252532213
7202341346563
oct36160717421
911420281330
104056129297
1117a1640a80
12952481069
134c844490c
142a69a5333
1518b16114c
hexf1c39f11

4056129297 has 64 divisors (see below), whose sum is σ = 6973516800. Its totient is φ = 2302813440.

The previous prime is 4056129269. The next prime is 4056129307. The reversal of 4056129297 is 7929216504.

4056129297 is a `hidden beast` number, since 4 + 0 + 5 + 612 + 9 + 29 + 7 = 666.

It is not a de Polignac number, because 4056129297 - 28 = 4056129041 is a prime.

It is not an unprimeable number, because it can be changed into a prime (4056129997) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 1144354 + ... + 1147892.

It is an arithmetic number, because the mean of its divisors is an integer number (108961200).

Almost surely, 24056129297 is an apocalyptic number.

It is an amenable number.

4056129297 is a deficient number, since it is larger than the sum of its proper divisors (2917387503).

4056129297 is a wasteful number, since it uses less digits than its factorization.

4056129297 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3803 (or 3797 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The square root of 4056129297 is about 63687.7484057962. The cubic root of 4056129297 is about 1594.7915657440.

The spelling of 4056129297 in words is "four billion, fifty-six million, one hundred twenty-nine thousand, two hundred ninety-seven".

Divisors: 1 3 9 11 17 27 33 51 99 153 187 227 297 459 561 681 1683 2043 2497 3539 3859 5049 6129 7491 10617 11577 22473 31851 34731 38929 42449 60163 67419 95553 104193 116787 127347 180489 350361 382041 541467 661793 803353 1051083 1146123 1624401 1985379 2410059 5956137 7230177 8836883 13657001 17868411 21690531 26510649 40971003 79531947 122913009 150227011 238595841 368739027 450681033 1352043099 4056129297