Search a number
-
+
194143265680 = 2457133157799
BaseRepresentation
bin1011010011001111010…
…1110010001110010000
3200120010011210202101111
42310303311302032100
511140101134000210
6225104351543104
720012023346560
oct2646365621620
9616104722344
10194143265680
11753768a3001
123176222aa94
13153ccb35000
14957a326da0
1550b41da88a
hex2d33d72390

194143265680 has 160 divisors (see below), whose sum is σ = 558839232000. Its totient is φ = 61442754048.

The previous prime is 194143265611. The next prime is 194143265699. The reversal of 194143265680 is 86562341491.

194143265680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 31 ways as a sum of consecutive naturals, for example, 1151421 + ... + 1309219.

It is an arithmetic number, because the mean of its divisors is an integer number (3492745200).

Almost surely, 2194143265680 is an apocalyptic number.

194143265680 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 194143265680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (279419616000).

194143265680 is an abundant number, since it is smaller than the sum of its proper divisors (364695966320).

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

194143265680 is a wasteful number, since it uses less digits than its factorization.

194143265680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157858 (or 157826 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 49.

The spelling of 194143265680 in words is "one hundred ninety-four billion, one hundred forty-three million, two hundred sixty-five thousand, six hundred eighty".

Divisors: 1 2 4 5 7 8 10 13 14 16 20 26 28 35 40 52 56 65 70 80 91 104 112 130 140 169 182 208 260 280 338 364 455 520 560 676 728 845 910 1040 1183 1352 1456 1690 1820 2197 2366 2704 3380 3640 4394 4732 5915 6760 7280 8788 9464 10985 11830 13520 15379 17576 18928 21970 23660 30758 35152 43940 47320 61516 76895 87880 94640 123032 153790 157799 175760 246064 307580 315598 615160 631196 788995 1104593 1230320 1262392 1577990 2051387 2209186 2524784 3155980 4102774 4418372 5522965 6311960 8205548 8836744 10256935 11045930 12623920 14359709 16411096 17673488 20513870 22091860 26668031 28719418 32822192 41027740 44183720 53336062 57438836 71798545 82055480 88367440 106672124 114877672 133340155 143597090 164110960 186676217 213344248 229755344 266680310 287194180 346684403 373352434 426688496 533360620 574388360 693368806 746704868 933381085 1066721240 1148776720 1386737612 1493409736 1733422015 1866762170 2133442480 2426790821 2773475224 2986819472 3466844030 3733524340 4853581642 5546950448 6933688060 7467048680 9707163284 12133954105 13867376120 14934097360 19414326568 24267908210 27734752240 38828653136 48535816420 97071632840 194143265680