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1012887856904 = 237112448133359
BaseRepresentation
bin11101011110101001101…
…00100010011100001000
310120211102220012101112112
432233110310202130020
5113043343242410104
62053151514001452
7133115206504610
oct16572464423410
93524386171475
101012887856904
11360621875600
1214437a116288
1374690364881
1437049d3da40
151b532e1586e
hexebd4d22708

1012887856904 has 96 divisors (see below), whose sum is σ = 2386331539200. Its totient is φ = 394531737600.

The previous prime is 1012887856859. The next prime is 1012887856909. The reversal of 1012887856904 is 4096587882101.

It is not an unprimeable number, because it can be changed into a prime (1012887856909) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 30346577 + ... + 30379935.

It is an arithmetic number, because the mean of its divisors is an integer number (24857620200).

Almost surely, 21012887856904 is an apocalyptic number.

1012887856904 is a gapful number since it is divisible by the number (14) 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 1012887856904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1193165769600).

1012887856904 is an abundant number, since it is smaller than the sum of its proper divisors (1373443682296).

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

1012887856904 is a wasteful number, since it uses less digits than its factorization.

1012887856904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37875 (or 37860 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 59.

The spelling of 1012887856904 in words is "one trillion, twelve billion, eight hundred eighty-seven million, eight hundred fifty-six thousand, nine hundred four".

Divisors: 1 2 4 7 8 11 14 22 28 44 56 77 88 121 154 242 308 484 616 847 968 1694 3388 4481 6776 8962 17924 31367 33359 35848 49291 62734 66718 98582 125468 133436 197164 233513 250936 266872 345037 366949 394328 467026 542201 690074 733898 934052 1084402 1380148 1467796 1868104 2168804 2568643 2760296 2935592 3795407 4036439 4337608 5137286 7590814 8072878 10274572 15181628 16145756 20549144 28255073 30363256 32291512 56510146 113020292 149481679 226040584 298963358 597926716 1046371753 1195853432 1644298469 2092743506 3288596938 4185487012 6577193876 8370974024 11510089283 13154387752 18087283159 23020178566 36174566318 46040357132 72349132636 92080714264 126610982113 144698265272 253221964226 506443928452 1012887856904