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3914157681 = 337219315023
BaseRepresentation
bin1110100101001101…
…0100111001110001
3101002210011210221000
43221103110321301
531004011021211
61444221552213
7165665535300
oct35123247161
911083153830
103914157681
111729492665
12912a15669
134a4bc7045
14291baa437
1517d96a656
hexe94d4e71

3914157681 has 96 divisors (see below), whose sum is σ = 7331020800. Its totient is φ = 2050181280.

The previous prime is 3914157679. The next prime is 3914157721. The reversal of 3914157681 is 1867514193.

3914157681 is a `hidden beast` number, since 3 + 91 + 415 + 76 + 81 = 666.

It is not a de Polignac number, because 3914157681 - 21 = 3914157679 is a prime.

It is a super-2 number, since 2×39141576812 = 30641260703462595522, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3914157661) 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 95 ways as a sum of consecutive naturals, for example, 776736 + ... + 781758.

It is an arithmetic number, because the mean of its divisors is an integer number (76364800).

Almost surely, 23914157681 is an apocalyptic number.

3914157681 is a gapful number since it is divisible by the number (31) formed by its first and last digit.

It is an amenable number.

3914157681 is a deficient number, since it is larger than the sum of its proper divisors (3416863119).

3914157681 is a wasteful number, since it uses less digits than its factorization.

3914157681 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5096 (or 5083 counting only the distinct ones).

The product of its digits is 181440, while the sum is 45.

The square root of 3914157681 is about 62563.2294642788. The cubic root of 3914157681 is about 1575.9633217917.

The spelling of 3914157681 in words is "three billion, nine hundred fourteen million, one hundred fifty-seven thousand, six hundred eighty-one".

Divisors: 1 3 7 9 19 21 27 31 49 57 63 93 133 147 171 189 217 279 399 441 513 589 651 837 931 1197 1323 1519 1767 1953 2793 3591 4123 4557 5023 5301 5859 8379 12369 13671 15069 15903 25137 28861 35161 37107 41013 45207 86583 95437 105483 111321 135621 155713 246127 259749 286311 316449 467139 668059 738381 779247 858933 949347 1089991 1401417 2004177 2215143 2576799 2958547 3269973 4204251 4676413 6012531 6645429 7629937 8875641 9809919 14029239 18037593 20709829 22889811 26626923 29429757 42087717 62129487 68669433 79880769 126263151 144968803 186388461 206008299 434906409 559165383 1304719227 3914157681