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195765145408 = 2675943916871
BaseRepresentation
bin1011011001010010000…
…0110000111101000000
3200201022012122210010001
42312110200300331000
511201411334123113
6225533330245344
720100146165110
oct2662440607500
9621265583101
10195765145408
1176029359278
1231b35426854
13155cab5b961
1496918b5040
15515b7ac7dd
hex2d94830f40

195765145408 has 112 divisors (see below), whose sum is σ = 452547532800. Its totient is φ = 82284572160.

The previous prime is 195765145397. The next prime is 195765145423. The reversal of 195765145408 is 804541567591.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11595213 + ... + 11612083.

Almost surely, 2195765145408 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 195765145408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226273766400).

195765145408 is an abundant number, since it is smaller than the sum of its proper divisors (256782387392).

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

195765145408 is a wasteful number, since it uses less digits than its factorization.

195765145408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17388 (or 17378 counting only the distinct ones).

The product of its (nonzero) digits is 6048000, while the sum is 55.

The spelling of 195765145408 in words is "one hundred ninety-five billion, seven hundred sixty-five million, one hundred forty-five thousand, four hundred eight".

Divisors: 1 2 4 7 8 14 16 28 32 56 59 64 112 118 224 236 413 439 448 472 826 878 944 1652 1756 1888 3073 3304 3512 3776 6146 6608 7024 12292 13216 14048 16871 24584 25901 26432 28096 33742 49168 51802 67484 98336 103604 118097 134968 181307 196672 207208 236194 269936 362614 414416 472388 539872 725228 828832 944776 995389 1079744 1450456 1657664 1889552 1990778 2900912 3779104 3981556 5801824 6967723 7406369 7558208 7963112 11603648 13935446 14812738 15926224 27870892 29625476 31852448 51844583 55741784 59250952 63704896 103689166 111483568 118501904 207378332 222967136 237003808 414756664 436975771 445934272 474007616 829513328 873951542 1659026656 1747903084 3058830397 3318053312 3495806168 6117660794 6991612336 12235321588 13983224672 24470643176 27966449344 48941286352 97882572704 195765145408