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47133887268 = 2231317103172553
BaseRepresentation
bin101011111001011001…
…100000101100100100
311111122211201120002110
4223321121200230210
51233012233343033
633353014441020
73256010300646
oct537131405444
9144584646073
1047133887268
1118a9793a146
129175063170
1345a2035430
1423d1c1a896
15135ce4b363
hexaf9660b24

47133887268 has 96 divisors (see below), whose sum is σ = 126624266496. Its totient is φ = 13517033472.

The previous prime is 47133887263. The next prime is 47133887291. The reversal of 47133887268 is 86278833174.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (47133887263) 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, 186880 + ... + 359432.

It is an arithmetic number, because the mean of its divisors is an integer number (1319002776).

Almost surely, 247133887268 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 47133887268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63312133248).

47133887268 is an abundant number, since it is smaller than the sum of its proper divisors (79490379228).

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

47133887268 is a wasteful number, since it uses less digits than its factorization.

47133887268 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172693 (or 172691 counting only the distinct ones).

The product of its digits is 10838016, while the sum is 57.

The spelling of 47133887268 in words is "forty-seven billion, one hundred thirty-three million, eight hundred eighty-seven thousand, two hundred sixty-eight".

Divisors: 1 2 3 4 6 12 13 17 26 34 39 51 52 68 78 102 103 156 204 206 221 309 412 442 618 663 884 1236 1326 1339 1751 2652 2678 3502 4017 5253 5356 7004 8034 10506 16068 21012 22763 45526 68289 91052 136578 172553 273156 345106 517659 690212 1035318 2070636 2243189 2933401 4486378 5866802 6729567 8800203 8972756 11733604 13459134 17600406 17772959 26918268 35200812 35545918 38134213 53318877 71091836 76268426 106637754 114402639 152536852 213275508 228805278 231048467 302140303 457610556 462096934 604280606 693145401 906420909 924193868 1208561212 1386290802 1812841818 2772581604 3625683636 3927823939 7855647878 11783471817 15711295756 23566943634 47133887268