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1000866793312 = 25192831043857
BaseRepresentation
bin11101001000010000100…
…11110100011101100000
310112200102010110002101001
432210020103310131200
5112344233344341222
62043443012521344
7132211261242151
oct16441023643540
93480363402331
101000866793312
11356513237601
12141b84320254
13734c5a367a9
14366295db928
151b07c8d3e27
hexe9084f4760

1000866793312 has 72 divisors (see below), whose sum is σ = 2104680780216. Its totient is φ = 468382362624.

The previous prime is 1000866793273. The next prime is 1000866793313. The reversal of 1000866793312 is 2133976680001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1000866793313) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 436888 + ... + 1480744.

It is an arithmetic number, because the mean of its divisors is an integer number (29231677503).

Almost surely, 21000866793312 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 1000866793312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1052340390108).

1000866793312 is an abundant number, since it is smaller than the sum of its proper divisors (1103813986904).

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

1000866793312 is a wasteful number, since it uses less digits than its factorization.

1000866793312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1043988 (or 1043961 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 46.

The spelling of 1000866793312 in words is "one trillion, eight hundred sixty-six million, seven hundred ninety-three thousand, three hundred twelve".

Divisors: 1 2 4 8 16 19 32 38 76 83 152 166 304 332 361 608 664 722 1328 1444 1577 2656 2888 3154 5776 6308 11552 12616 25232 29963 50464 59926 119852 239704 479408 958816 1043857 2087714 4175428 8350856 16701712 19833283 33403424 39666566 79333132 86640131 158666264 173280262 317332528 346560524 376832377 634665056 693121048 753664754 1386242096 1507329508 1646162489 2772484192 3014659016 3292324978 6029318032 6584649956 12058636064 13169299912 26338599824 31277087291 52677199648 62554174582 125108349164 250216698328 500433396656 1000866793312