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3375506226441 = 329210768318307
BaseRepresentation
bin110001000111101011110…
…110010111110100001001
3102221200202211111000202110
4301013223312113310021
5420301014043221231
611102404113052533
7465605122342416
oct61075366276411
912850684430673
103375506226441
1110915a92a1508
12466242257149
131b6402789bbb
14b953804910d
155cc10b13046
hex311ebd97d09

3375506226441 has 48 divisors (see below), whose sum is σ = 4711930838784. Its totient is φ = 2149164819648.

The previous prime is 3375506226419. The next prime is 3375506226497. The reversal of 3375506226441 is 1446226055733.

It is a happy number.

3375506226441 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 3375506226441 - 25 = 3375506226409 is a prime.

It is a super-2 number, since 2×33755062264412 (a number of 26 digits) contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (3375506226041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 184374210 + ... + 184392516.

It is an arithmetic number, because the mean of its divisors is an integer number (98165225808).

Almost surely, 23375506226441 is an apocalyptic number.

It is an amenable number.

3375506226441 is a deficient number, since it is larger than the sum of its proper divisors (1336424612343).

3375506226441 is a wasteful number, since it uses less digits than its factorization.

3375506226441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19158 (or 19129 counting only the distinct ones).

The product of its (nonzero) digits is 3628800, while the sum is 48.

The spelling of 3375506226441 in words is "three trillion, three hundred seventy-five billion, five hundred six million, two hundred twenty-six thousand, four hundred forty-one".

Divisors: 1 3 29 87 107 321 683 841 2049 2523 3103 9309 18307 19807 54921 59421 73081 89987 219243 269961 530903 574403 1592709 1723209 1958849 2119349 5876547 6358047 12503681 15396187 37511043 46188561 56806621 61461121 170419863 184383363 362606749 1087820247 1337893867 1647392009 4013681601 4942176027 10515595721 31546787163 38798922143 116396766429 1125168742147 3375506226441