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1013745657060 = 2232515713584927
BaseRepresentation
bin11101100000001111111…
…00110010010011100100
310120220122200022011010200
432300013330302103210
5113102122342011220
62053412555350500
7133145363623653
oct16600774622344
93526580264120
101013745657060
11360a21aa4554
12144579452430
1374798ca4326
14370cbc3319a
151b5833a8890
hexec07f324e4

1013745657060 has 72 divisors (see below), whose sum is σ = 3076986721536. Its totient is φ = 270160023360.

The previous prime is 1013745657037. The next prime is 1013745657091. The reversal of 1013745657060 is 607565473101.

1013745657060 is a `hidden beast` number, since 1 + 0 + 1 + 3 + 74 + 5 + 6 + 570 + 6 + 0 = 666.

1013745657060 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10137456570602 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 1013745656997 and 1013745657015.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1509684 + ... + 2075243.

It is an arithmetic number, because the mean of its divisors is an integer number (42735926688).

Almost surely, 21013745657060 is an apocalyptic number.

1013745657060 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1013745657060 is an abundant number, since it is smaller than the sum of its proper divisors (2063241064476).

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

1013745657060 is a wasteful number, since it uses less digits than its factorization.

1013745657060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3586513 (or 3586508 counting only the distinct ones).

The product of its (nonzero) digits is 529200, while the sum is 45.

The spelling of 1013745657060 in words is "one trillion, thirteen billion, seven hundred forty-five million, six hundred fifty-seven thousand, sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 1571 3142 4713 6284 7855 9426 14139 15710 18852 23565 28278 31420 47130 56556 70695 94260 141390 282780 3584927 7169854 10754781 14339708 17924635 21509562 32264343 35849270 43019124 53773905 64528686 71698540 107547810 129057372 161321715 215095620 322643430 645286860 5631920317 11263840634 16895760951 22527681268 28159601585 33791521902 50687282853 56319203170 67583043804 84478804755 101374565706 112638406340 168957609510 202749131412 253436414265 337915219020 506872828530 1013745657060