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189476404180 = 225727738312757
BaseRepresentation
bin1011000001110110101…
…1000111101111010100
3200010001221021121221021
42300131223013233110
511101021424413210
6223013320530524
716455254601430
oct2603553075724
9603057247837
10189476404180
11733a1543978
123087b320a44
1314b380078bb
1492565c39c0
154dde63bbda
hex2c1dac7bd4

189476404180 has 96 divisors (see below), whose sum is σ = 457612517376. Its totient is φ = 64554748416.

The previous prime is 189476404177. The next prime is 189476404237. The reversal of 189476404180 is 81404674981.

189476404180 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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, 14846362 + ... + 14859118.

It is an arithmetic number, because the mean of its divisors is an integer number (4766797056).

Almost surely, 2189476404180 is an apocalyptic number.

189476404180 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 189476404180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228806258688).

189476404180 is an abundant number, since it is smaller than the sum of its proper divisors (268136113196).

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

189476404180 is a wasteful number, since it uses less digits than its factorization.

189476404180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13433 (or 13431 counting only the distinct ones).

The product of its (nonzero) digits is 1548288, while the sum is 52.

The spelling of 189476404180 in words is "one hundred eighty-nine billion, four hundred seventy-six million, four hundred four thousand, one hundred eighty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 277 383 554 766 1108 1385 1532 1915 1939 2681 2770 3830 3878 5362 5540 7660 7756 9695 10724 12757 13405 19390 25514 26810 38780 51028 53620 63785 89299 106091 127570 178598 212182 255140 357196 424364 446495 530455 742637 892990 1060910 1485274 1785980 2121820 2970548 3533689 3713185 4885931 7067378 7426370 9771862 14134756 14852740 17668445 19543724 24429655 24735823 34201517 35336890 48859310 49471646 68403034 70673780 97718620 98943292 123679115 136806068 171007585 247358230 342015170 494716460 684030340 1353402887 2706805774 5413611548 6767014435 9473820209 13534028870 18947640418 27068057740 37895280836 47369101045 94738202090 189476404180