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16746060406140 = 223251346619153509
BaseRepresentation
bin1111001110101111111011…
…1110110101110101111100
32012021220111202001021021200
43303223332332311311330
54143331412430444030
655341011155455500
73345601662566412
oct363537676656574
965256452037250
1016746060406140
115376a67591a1a
121a655b98b7590
139461ba463330
1441c7296452b2
151e090ba35d60
hexf3afefb5d7c

16746060406140 has 144 divisors (see below), whose sum is σ = 54705327112800. Its totient is φ = 4121991903744.

The previous prime is 16746060406139. The next prime is 16746060406147. The reversal of 16746060406140 is 4160406064761.

16746060406140 is a `hidden beast` number, since 1 + 6 + 7 + 46 + 0 + 60 + 406 + 140 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16746060406147) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 109011706 + ... + 109165214.

It is an arithmetic number, because the mean of its divisors is an integer number (379898104950).

Almost surely, 216746060406140 is an apocalyptic number.

16746060406140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

16746060406140 is an abundant number, since it is smaller than the sum of its proper divisors (37959266706660).

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

16746060406140 is a wasteful number, since it uses less digits than its factorization.

16746060406140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 200156 (or 200151 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 16746060406140 in words is "sixteen trillion, seven hundred forty-six billion, sixty million, four hundred six thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 36 39 45 52 60 65 78 90 117 130 156 180 195 234 260 390 468 585 780 1170 2340 46619 93238 139857 153509 186476 233095 279714 307018 419571 460527 466190 559428 606047 614036 699285 767545 839142 921054 932380 1212094 1381581 1398570 1535090 1678284 1818141 1842108 1995617 2097855 2302635 2424188 2763162 2797140 3030235 3070180 3636282 3991234 4195710 4605270 5454423 5526324 5986851 6060470 6907905 7272564 7982468 8391420 9090705 9210540 9978085 10908846 11973702 12120940 13815810 17960553 18181410 19956170 21817692 23947404 27272115 27631620 29934255 35921106 36362820 39912340 54544230 59868510 71842212 89802765 109088460 119737020 179605530 359211060 7156436071 14312872142 21469308213 28625744284 35782180355 42938616426 64407924639 71564360710 85877232852 93033668923 107346541065 128815849278 143128721420 186067337846 214693082130 257631698556 279101006769 322039623195 372134675692 429386164260 465168344615 558202013538 644079246390 837303020307 930336689230 1116404027076 1288158492780 1395505033845 1674606040614 1860673378460 2791010067690 3349212081228 4186515101535 5582020135380 8373030203070 16746060406140