Search a number
-
+
1600065660060 = 2232571579804239
BaseRepresentation
bin10111010010001011010…
…110000110010010011100
312122222001022211100122100
4113102023112012102130
5202203413302110220
63223020544045100
7223413055463550
oct27221326062234
95588038740570
101600065660060
115676473958aa
1221a12a903790
13b7b6870534a
145762d2dd860
152b94c253d90
hex1748b58649c

1600065660060 has 144 divisors (see below), whose sum is σ = 5550414105600. Its totient is φ = 365497218432.

The previous prime is 1600065660049. The next prime is 1600065660073. The reversal of 1600065660060 is 600665600061.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1600065659997 and 1600065660024.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 1587421 + ... + 2391659.

It is an arithmetic number, because the mean of its divisors is an integer number (38544542400).

Almost surely, 21600065660060 is an apocalyptic number.

1600065660060 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 1600065660060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2775207052800).

1600065660060 is an abundant number, since it is smaller than the sum of its proper divisors (3950348445540).

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

1600065660060 is a wasteful number, since it uses less digits than its factorization.

1600065660060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 805840 (or 805835 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The spelling of 1600065660060 in words is "one trillion, six hundred billion, sixty-five million, six hundred sixty thousand, sixty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 60 63 70 84 90 105 126 140 180 210 252 315 420 630 1260 1579 3158 4737 6316 7895 9474 11053 14211 15790 18948 22106 23685 28422 31580 33159 44212 47370 55265 56844 66318 71055 94740 99477 110530 132636 142110 165795 198954 221060 284220 331590 397908 497385 663180 804239 994770 1608478 1989540 2412717 3216956 4021195 4825434 5629673 7238151 8042390 9650868 11259346 12063585 14476302 16084780 16889019 22518692 24127170 28148365 28952604 33778038 36190755 48254340 50667057 56296730 67556076 72381510 84445095 101334114 112593460 144763020 168890190 202668228 253335285 337780380 506670570 1013341140 1269893381 2539786762 3809680143 5079573524 6349466905 7619360286 8889253667 11429040429 12698933810 15238720572 17778507334 19048400715 22858080858 25397867620 26667761001 35557014668 38096801430 44446268335 45716161716 53335522002 57145202145 76193602860 80003283003 88892536670 106671044004 114290404290 133338805005 160006566006 177785073340 228580808580 266677610010 320013132012 400016415015 533355220020 800032830030 1600065660060