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317388249072 = 24331938668159
BaseRepresentation
bin1001001111001011101…
…00000101011111110000
31010100020022222121021000
410213211310011133300
520200002342432242
6401450043402000
731634114414136
oct4474564053760
91110208877230
10317388249072
11112670435184
1251618823300
1323c113aaa9b
141150c607756
1583c8ec7a4c
hex49e5d057f0

317388249072 has 80 divisors (see below), whose sum is σ = 958970368000. Its totient is φ = 100227865536.

The previous prime is 317388248953. The next prime is 317388249077. The reversal of 317388249072 is 270942883713.

317388249072 is a `hidden beast` number, since 3 + 1 + 7 + 3 + 8 + 82 + 490 + 72 = 666.

It is a super-2 number, since 2×3173882490722 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (317388249077) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19325872 + ... + 19342287.

It is an arithmetic number, because the mean of its divisors is an integer number (11987129600).

Almost surely, 2317388249072 is an apocalyptic number.

It is an amenable number.

317388249072 is an abundant number, since it is smaller than the sum of its proper divisors (641582118928).

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

317388249072 is a wasteful number, since it uses less digits than its factorization.

317388249072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38668195 (or 38668183 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 54.

The spelling of 317388249072 in words is "three hundred seventeen billion, three hundred eighty-eight million, two hundred forty-nine thousand, seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 27 36 38 48 54 57 72 76 108 114 144 152 171 216 228 304 342 432 456 513 684 912 1026 1368 2052 2736 4104 8208 38668159 77336318 116004477 154672636 232008954 309345272 348013431 464017908 618690544 696026862 734695021 928035816 1044040293 1392053724 1469390042 1856071632 2088080586 2204085063 2784107448 2938780084 4176161172 4408170126 5568214896 5877560168 6612255189 8352322344 8816340252 11755120336 13224510378 16704644688 17632680504 19836765567 26449020756 35265361008 39673531134 52898041512 79347062268 105796083024 158694124536 317388249072