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317428571712 = 26371217194069
BaseRepresentation
bin1001001111010000011…
…01111001111001000000
31010100100010212012112010
410213220031321321000
520200043203243322
6401454043532520
731635114224640
oct4475015717100
91110303765463
10317428571712
1111269117617a
125162a22a140
1323c19858435
1411513b02520
1583cc7e020c
hex49e8379e40

317428571712 has 112 divisors (see below), whose sum is σ = 960637184640. Its totient is φ = 90618888192.

The previous prime is 317428571711. The next prime is 317428571729. The reversal of 317428571712 is 217175824713.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×3174285717122 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (317428571711) 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, 1538614 + ... + 1732682.

It is an arithmetic number, because the mean of its divisors is an integer number (8577117720).

Almost surely, 2317428571712 is an apocalyptic number.

317428571712 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 317428571712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (480318592320).

317428571712 is an abundant number, since it is smaller than the sum of its proper divisors (643208612928).

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

317428571712 is a wasteful number, since it uses less digits than its factorization.

317428571712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195308 (or 195298 counting only the distinct ones).

The product of its digits is 658560, while the sum is 48.

The spelling of 317428571712 in words is "three hundred seventeen billion, four hundred twenty-eight million, five hundred seventy-one thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 168 192 224 336 448 672 1217 1344 2434 3651 4868 7302 8519 9736 14604 17038 19472 25557 29208 34076 38944 51114 58416 68152 77888 102228 116832 136304 194069 204456 233664 272608 388138 408912 545216 582207 776276 817824 1164414 1358483 1552552 1635648 2328828 2716966 3105104 4075449 4657656 5433932 6210208 8150898 9315312 10867864 12420416 16301796 18630624 21735728 32603592 37261248 43471456 65207184 86942912 130414368 236181973 260828736 472363946 708545919 944727892 1417091838 1653273811 1889455784 2834183676 3306547622 3778911568 4959821433 5668367352 6613095244 7557823136 9919642866 11336734704 13226190488 15115646272 19839285732 22673469408 26452380976 39678571464 45346938816 52904761952 79357142928 105809523904 158714285856 317428571712