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1055020998192 = 24379795333967
BaseRepresentation
bin11110101101001000010…
…01101101111000110000
310201212012020010201202220
433112210021231320300
5114241140333420232
62124400413241040
7136136255343330
oct17264411557060
93655166121686
101055020998192
11377482938227
12150578493180
13786463399c5
14390c59430c0
151c69bd0e42c
hexf5a426de30

1055020998192 has 160 divisors (see below), whose sum is σ = 3150330365952. Its totient is φ = 298005184512.

The previous prime is 1055020998181. The next prime is 1055020998197. The reversal of 1055020998192 is 2918990205501.

It is a happy number.

1055020998192 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10550209981922 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1055020998197) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 31043193 + ... + 31077159.

Almost surely, 21055020998192 is an apocalyptic number.

1055020998192 is a gapful number since it is divisible by the number (12) 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 1055020998192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1575165182976).

1055020998192 is an abundant number, since it is smaller than the sum of its proper divisors (2095309367760).

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

1055020998192 is a wasteful number, since it uses less digits than its factorization.

1055020998192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35035 (or 35029 counting only the distinct ones).

The product of its (nonzero) digits is 583200, while the sum is 51.

The spelling of 1055020998192 in words is "one trillion, fifty-five billion, twenty million, nine hundred ninety-eight thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 97 112 168 194 291 336 388 582 679 776 953 1164 1358 1552 1906 2037 2328 2716 2859 3812 4074 4656 5432 5718 6671 7624 8148 10864 11436 13342 15248 16296 20013 22872 26684 32592 33967 40026 45744 53368 67934 80052 92441 101901 106736 135868 160104 184882 203802 237769 271736 277323 320208 369764 407604 475538 543472 554646 647087 713307 739528 815208 951076 1109292 1294174 1426614 1479056 1630416 1902152 1941261 2218584 2588348 2853228 3294799 3804304 3882522 4437168 5176696 5706456 6589598 7765044 9884397 10353392 11412912 13179196 15530088 19768794 23063593 26358392 31060176 32370551 39537588 46127186 52716784 64741102 69190779 79075176 92254372 97111653 129482204 138381558 158150352 184508744 194223306 226593857 258964408 276763116 369017488 388446612 453187714 517928816 553526232 679781571 776893224 906375428 1107052464 1359563142 1553786448 1812750856 2719126284 3139943447 3625501712 5438252568 6279886894 9419830341 10876505136 12559773788 18839660682 21979604129 25119547576 37679321364 43959208258 50239095152 65938812387 75358642728 87918416516 131877624774 150717285456 175836833032 263755249548 351673666064 527510499096 1055020998192