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1055600075776 = 2109723312
BaseRepresentation
bin11110101110001101010…
…10101110010000000000
310201220200120202220212211
433113012222232100000
5114243332104411101
62124534101031504
7136156516412221
oct17270652562000
93656616686784
101055600075776
1137774a7a5844
121506ba3b5594
13787092bb36c
143913c801248
151c6d2a97c51
hexf5c6aae400

1055600075776 has 99 divisors (see below), whose sum is σ = 2138608881297. Its totient is φ = 520780677120.

The previous prime is 1055600075759. The next prime is 1055600075797. The reversal of 1055600075776 is 6775700065501.

The square root of 1055600075776 is 1027424.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 474004710400 + 581595365376 = 688480^2 + 762624^2 .

It is a super-2 number, since 2×10556000757762 (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 3189123931 + ... + 3189124261.

Almost surely, 21055600075776 is an apocalyptic number.

1055600075776 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

1055600075776 is the 1027424-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1055600075776

1055600075776 is an abundant number, since it is smaller than the sum of its proper divisors (1083008805521).

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

1055600075776 is an frugal number, since it uses more digits than its factorization.

1055600075776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 876 (or 430 counting only the distinct ones).

The product of its (nonzero) digits is 1543500, while the sum is 49.

Multiplying 1055600075776 by its sum of digits (49), we get a square (51724403713024 = 71919682).

The spelling of 1055600075776 in words is "one trillion, fifty-five billion, six hundred million, seventy-five thousand, seven hundred seventy-six".

Divisors: 1 2 4 8 16 32 64 97 128 194 256 331 388 512 662 776 1024 1324 1552 2648 3104 5296 6208 9409 10592 12416 18818 21184 24832 32107 37636 42368 49664 64214 75272 84736 99328 109561 128428 150544 169472 219122 256856 301088 338944 438244 513712 602176 876488 1027424 1204352 1752976 2054848 2408704 3114379 3505952 4109696 4817408 6228758 7011904 8219392 9634816 10627417 12457516 14023808 16438784 21254834 24915032 28047616 32877568 42509668 49830064 56095232 85019336 99660128 112190464 170038672 199320256 340077344 398640512 680154688 797281024 1030859449 1360309376 1594562048 2061718898 2720618752 3189124096 4123437796 5441237504 8246875592 10882475008 16493751184 32987502368 65975004736 131950009472 263900018944 527800037888 1055600075776