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1055592735220 = 22519101186114779
BaseRepresentation
bin11110101110001100011…
…10101110000111110100
310201220200001221222112101
433113012032232013310
5114243323220011340
62124533235431444
7136156400130202
oct17270616560764
93656601858471
101055592735220
11377746641771
121506b7a55584
137870791b13a
143913b850072
151c6d20e7c9a
hexf5c63ae1f4

1055592735220 has 96 divisors (see below), whose sum is σ = 2357944444800. Its totient is φ = 395813952000.

The previous prime is 1055592735187. The next prime is 1055592735257. The reversal of 1055592735220 is 225372955501.

It is a super-2 number, since 2×10555927352202 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 71417791 + ... + 71432569.

It is an arithmetic number, because the mean of its divisors is an integer number (24561921300).

Almost surely, 21055592735220 is an apocalyptic number.

1055592735220 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 1055592735220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1178972222400).

1055592735220 is an abundant number, since it is smaller than the sum of its proper divisors (1302351709580).

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

1055592735220 is a wasteful number, since it uses less digits than its factorization.

1055592735220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16769 (or 16767 counting only the distinct ones).

The product of its (nonzero) digits is 945000, while the sum is 46.

The spelling of 1055592735220 in words is "one trillion, fifty-five billion, five hundred ninety-two million, seven hundred thirty-five thousand, two hundred twenty".

Divisors: 1 2 4 5 10 19 20 38 76 95 101 190 202 380 404 505 1010 1861 1919 2020 3722 3838 7444 7676 9305 9595 14779 18610 19190 29558 35359 37220 38380 59116 70718 73895 141436 147790 176795 187961 280801 295580 353590 375922 561602 707180 751844 939805 1123204 1404005 1492679 1879610 2808010 2985358 3571259 3759220 5616020 5970716 7142518 7463395 14285036 14926790 17856295 27503719 28360901 29853580 35712590 55007438 56721802 71425180 110014876 113443604 137518595 141804505 275037190 283609010 522570661 550074380 567218020 1045141322 2090282644 2612853305 2777875619 5225706610 5555751238 10451413220 11111502476 13889378095 27778756190 52779636761 55557512380 105559273522 211118547044 263898183805 527796367610 1055592735220