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317454799968 = 25331873196169
BaseRepresentation
bin1001001111010011100…
…01111101010001100000
31010100101222012201221000
410213221301331101200
520200121412044333
6401500422032000
731635553164105
oct4475161752140
91110358181830
10317454799968
111126a4a5a919
1251636b78600
1323c2210c707
14115173acaac
1583cec71713
hex49e9c7d460

317454799968 has 96 divisors (see below), whose sum is σ = 926408901600. Its totient is φ = 105761230848.

The previous prime is 317454799957. The next prime is 317454799993. The reversal of 317454799968 is 869997454713.

317454799968 is a `hidden beast` number, since 3 + 1 + 7 + 4 + 5 + 479 + 99 + 68 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 317454799896 and 317454799905.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1520188 + ... + 1716356.

It is an arithmetic number, because the mean of its divisors is an integer number (9650092725).

Almost surely, 2317454799968 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 317454799968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (463204450800).

317454799968 is an abundant number, since it is smaller than the sum of its proper divisors (608954101632).

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

317454799968 is a wasteful number, since it uses less digits than its factorization.

317454799968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198061 (or 198047 counting only the distinct ones).

The product of its digits is 411505920, while the sum is 72.

The spelling of 317454799968 in words is "three hundred seventeen billion, four hundred fifty-four million, seven hundred ninety-nine thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 864 1873 3746 5619 7492 11238 14984 16857 22476 29968 33714 44952 50571 59936 67428 89904 101142 134856 179808 196169 202284 269712 392338 404568 539424 588507 784676 809136 1177014 1569352 1618272 1765521 2354028 3138704 3531042 4708056 5296563 6277408 7062084 9416112 10593126 14124168 18832224 21186252 28248336 42372504 56496672 84745008 169490016 367424537 734849074 1102273611 1469698148 2204547222 2939396296 3306820833 4409094444 5878792592 6613641666 8818188888 9920462499 11757585184 13227283332 17636377776 19840924998 26454566664 35272755552 39681849996 52909133328 79363699992 105818266656 158727399984 317454799968