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1022091921740 = 2251738918894091
BaseRepresentation
bin11101101111110010110…
…11010000100101001100
310121201012100021022212202
432313321123100211030
5113221221012443430
62101313105021032
7133562250663101
oct16677133204514
93551170238782
101022091921740
1136451527575a
12146108624778
13754c9193396
14376804b4aa8
151b8c0ea0d45
hexedf96d094c

1022091921740 has 96 divisors (see below), whose sum is σ = 2280257179200. Its totient is φ = 383501434880.

The previous prime is 1022091921691. The next prime is 1022091921769. The reversal of 1022091921740 is 471291902201.

It is a junction number, because it is equal to n+sod(n) for n = 1022091921694 and 1022091921703.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 249837095 + ... + 249841185.

It is an arithmetic number, because the mean of its divisors is an integer number (23752678950).

Almost surely, 21022091921740 is an apocalyptic number.

1022091921740 is a gapful number since it is divisible by the number (10) 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 1022091921740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1140128589600).

1022091921740 is an abundant number, since it is smaller than the sum of its proper divisors (1258165257460).

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

1022091921740 is a wasteful number, since it uses less digits than its factorization.

1022091921740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6395 (or 6393 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 38.

The spelling of 1022091921740 in words is "one trillion, twenty-two billion, ninety-one million, nine hundred twenty-one thousand, seven hundred forty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 340 389 778 1556 1889 1945 3778 3890 4091 6613 7556 7780 8182 9445 13226 16364 18890 20455 26452 32113 33065 37780 40910 64226 66130 69547 81820 128452 132260 139094 160565 278188 321130 347735 642260 695470 734821 1390940 1469642 1591399 2939284 3182798 3674105 6365596 7348210 7727899 7956995 12491957 14696420 15455798 15913990 24983914 27053783 30911596 31827980 38639495 49967828 54107566 62459785 77278990 108215132 124919570 131374283 135268915 154557980 249839140 262748566 270537830 525497132 541075660 656871415 1313742830 2627485660 3006152711 6012305422 12024610844 15030763555 30061527110 51104596087 60123054220 102209192174 204418384348 255522980435 511045960870 1022091921740