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4145694664 = 23171941109359
BaseRepresentation
bin1111011100011010…
…0100011111001000
3101200220212002221211
43313012210133020
531442244212124
61523212342504
7204506552236
oct36706443710
911626762854
104145694664
111838155841
12978474a34
13510b73a87
142b483b956
15193e53e94
hexf71a47c8

4145694664 has 128 divisors (see below), whose sum is σ = 8981280000. Its totient is φ = 1781637120.

The previous prime is 4145694661. The next prime is 4145694691. The reversal of 4145694664 is 4664965414.

It is not an unprimeable number, because it can be changed into a prime (4145694661) 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 31 ways as a sum of consecutive naturals, for example, 11547717 + ... + 11548075.

It is an arithmetic number, because the mean of its divisors is an integer number (70166250).

Almost surely, 24145694664 is an apocalyptic number.

It is an amenable number.

4145694664 is an abundant number, since it is smaller than the sum of its proper divisors (4835585336).

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

4145694664 is a wasteful number, since it uses less digits than its factorization.

4145694664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 551 (or 547 counting only the distinct ones).

The product of its digits is 2488320, while the sum is 49.

The square root of 4145694664 is about 64387.0690744656. The cubic root of 4145694664 is about 1606.4446659475. Note that the first 3 decimals are identical.

The spelling of 4145694664 in words is "four billion, one hundred forty-five million, six hundred ninety-four thousand, six hundred sixty-four".

Divisors: 1 2 4 8 17 19 34 38 41 68 76 82 109 136 152 164 218 323 328 359 436 646 697 718 779 872 1292 1394 1436 1558 1853 2071 2584 2788 2872 3116 3706 4142 4469 5576 6103 6232 6821 7412 8284 8938 12206 13243 13642 14719 14824 16568 17876 24412 26486 27284 29438 35207 35752 39131 48824 52972 54568 58876 70414 75973 78262 84911 105944 115957 117752 140828 151946 156524 169822 231914 250223 279661 281656 303892 313048 339644 463828 500446 559322 607784 665227 679288 743489 927656 1000892 1118644 1330454 1443487 1486978 1604371 2001784 2237288 2660908 2886974 2973956 3208742 4754237 5321816 5773948 5947912 6417484 9508474 11547896 12639313 12834968 19016948 25278626 27274307 30483049 38033896 50557252 54548614 60966098 101114504 109097228 121932196 218194456 243864392 518211833 1036423666 2072847332 4145694664