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10161666000 = 243353188179
BaseRepresentation
bin10010111011010111…
…01011011111010000
3222020011222010012000
421131223223133100
5131302341303000
64400155434000
7506546510253
oct113553533720
928204863160
1010161666000
114344aa5082
121b77155900
13c5c342325
146c580709a
153e7194000
hex25daeb7d0

10161666000 has 160 divisors (see below), whose sum is σ = 36401539200. Its totient is φ = 2709763200.

The previous prime is 10161665909. The next prime is 10161666043. The reversal of 10161666000 is 66616101.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 40090 + ... + 148089.

It is an arithmetic number, because the mean of its divisors is an integer number (227509620).

Almost surely, 210161666000 is an apocalyptic number.

10161666000 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 10161666000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18200769600).

10161666000 is an abundant number, since it is smaller than the sum of its proper divisors (26239873200).

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

10161666000 is a wasteful number, since it uses less digits than its factorization.

10161666000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188211 (or 188189 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The spelling of 10161666000 in words is "ten billion, one hundred sixty-one million, six hundred sixty-six thousand".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 27 30 36 40 45 48 50 54 60 72 75 80 90 100 108 120 125 135 144 150 180 200 216 225 240 250 270 300 360 375 400 432 450 500 540 600 675 720 750 900 1000 1080 1125 1200 1350 1500 1800 2000 2160 2250 2700 3000 3375 3600 4500 5400 6000 6750 9000 10800 13500 18000 27000 54000 188179 376358 564537 752716 940895 1129074 1505432 1693611 1881790 2258148 2822685 3010864 3387222 3763580 4516296 4704475 5080833 5645370 6774444 7527160 8468055 9032592 9408950 10161666 11290740 13548888 14113425 15054320 16936110 18817900 20323332 22581480 23522375 25404165 27097776 28226850 33872220 37635800 40646664 42340275 45162960 47044750 50808330 56453700 67744440 70567125 75271600 81293328 84680550 94089500 101616660 112907400 127020825 135488880 141134250 169361100 188179000 203233320 211701375 225814800 254041650 282268500 338722200 376358000 406466640 423402750 508083300 564537000 635104125 677444400 846805500 1016166600 1129074000 1270208250 1693611000 2032333200 2540416500 3387222000 5080833000 10161666000