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1022047585040 = 245193112162057
BaseRepresentation
bin11101101111101101100…
…10001000001100010000
310121201002020211210100202
432313312302020030100
5113221123140210130
62101304442434332
7133561202063426
oct16676662101420
93551066753322
101022047585040
113644a2242959
121460b58029a8
13754bcc3b951
1437678653116
151b8bc144145
hexedf6c88310

1022047585040 has 80 divisors (see below), whose sum is σ = 2509370997120. Its totient is φ = 386056719360.

The previous prime is 1022047585033. The next prime is 1022047585061. The reversal of 1022047585040 is 405857402201.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a junction number, because it is equal to n+sod(n) for n = 1022047584985 and 1022047585003.

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, 608309 + ... + 1553748.

It is an arithmetic number, because the mean of its divisors is an integer number (31367137464).

Almost surely, 21022047585040 is an apocalyptic number.

1022047585040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1022047585040 is an abundant number, since it is smaller than the sum of its proper divisors (1487323412080).

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

1022047585040 is a wasteful number, since it uses less digits than its factorization.

1022047585040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2162400 (or 2162394 counting only the distinct ones).

The product of its (nonzero) digits is 89600, while the sum is 38.

The spelling of 1022047585040 in words is "one trillion, twenty-two billion, forty-seven million, five hundred eighty-five thousand, forty".

Divisors: 1 2 4 5 8 10 16 19 20 38 40 76 80 95 152 190 304 311 380 622 760 1244 1520 1555 2488 3110 4976 5909 6220 11818 12440 23636 24880 29545 47272 59090 94544 118180 236360 472720 2162057 4324114 8648228 10810285 17296456 21620570 34592912 41079083 43241140 82158166 86482280 164316332 172964560 205395415 328632664 410790830 657265328 672399727 821581660 1344799454 1643163320 2689598908 3286326640 3361998635 5379197816 6723997270 10758395632 12775594813 13447994540 25551189626 26895989080 51102379252 53791978160 63877974065 102204758504 127755948130 204409517008 255511896260 511023792520 1022047585040