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311317286968 = 2323311393071279
BaseRepresentation
bin1001000011110111111…
…01001101000000111000
31002202120020101202212201
410201323331031000320
520100034211140333
6355003413515544
731330506164152
oct4417375150070
91082506352781
10311317286968
11110035546526
1250403642bb4
13234846c760c
14110d4205ad2
15817102417d
hex487bf4d038

311317286968 has 128 divisors (see below), whose sum is σ = 635830272000. Its totient is φ = 142473893760.

The previous prime is 311317286887. The next prime is 311317286983. The reversal of 311317286968 is 869682713113.

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 31 ways as a sum of consecutive naturals, for example, 243406153 + ... + 243407431.

It is an arithmetic number, because the mean of its divisors is an integer number (4967424000).

Almost surely, 2311317286968 is an apocalyptic number.

It is an amenable number.

311317286968 is an abundant number, since it is smaller than the sum of its proper divisors (324512985032).

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

311317286968 is a wasteful number, since it uses less digits than its factorization.

311317286968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1785 (or 1781 counting only the distinct ones).

The product of its digits is 2612736, while the sum is 55.

The spelling of 311317286968 in words is "three hundred eleven billion, three hundred seventeen million, two hundred eighty-six thousand, nine hundred sixty-eight".

Divisors: 1 2 4 8 23 31 46 62 92 124 139 184 248 278 307 556 614 713 1112 1228 1279 1426 2456 2558 2852 3197 4309 5116 5704 6394 7061 8618 9517 10232 12788 14122 17236 19034 25576 28244 29417 34472 38068 39649 42673 56488 58834 76136 79298 85346 99107 117668 158596 170692 177781 198214 218891 235336 317192 341384 355562 392653 396428 437782 711124 785306 792856 875564 911927 981479 1322863 1422248 1570612 1751128 1823854 1962958 2645726 3141224 3647708 3925916 4088963 5291452 5511211 7295416 7851832 8177926 9031019 10582904 11022422 12172243 16355852 18062038 22044844 24344486 30425849 32711704 36124076 44089688 48688972 54578767 60851698 72248152 97377944 109157534 121703396 126757853 218315068 243406792 253515706 279961589 436630136 507031412 559923178 1014062824 1119846356 1255311641 1691941777 2239692712 2510623282 3383883554 5021246564 6767767108 10042493128 13535534216 38914660871 77829321742 155658643484 311317286968