Search a number
-
+
1075848378342 = 23171011995091031
BaseRepresentation
bin11111010011111011000…
…11110111011111100110
310210211221201112021012220
433221331203313133212
5120111314141101332
62142123220253210
7140504345221263
oct17517543673746
93724851467186
101075848378342
113852a03a91a1
1215460b541206
137a5b5262b9a
143a0dda8026a
151ceba50ed2c
hexfa7d8f77e6

1075848378342 has 128 divisors (see below), whose sum is σ = 2319176448000. Its totient is φ = 331524864000.

The previous prime is 1075848378323. The next prime is 1075848378377. The reversal of 1075848378342 is 2438738485701.

It is a super-2 number, since 2×10758483783422 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1043499367 + ... + 1043500397.

It is an arithmetic number, because the mean of its divisors is an integer number (18118566000).

Almost surely, 21075848378342 is an apocalyptic number.

1075848378342 is an abundant number, since it is smaller than the sum of its proper divisors (1243328069658).

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

1075848378342 is a wasteful number, since it uses less digits than its factorization.

1075848378342 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1862.

The product of its (nonzero) digits is 36126720, while the sum is 60.

The spelling of 1075848378342 in words is "one trillion, seventy-five billion, eight hundred forty-eight million, three hundred seventy-eight thousand, three hundred forty-two".

Divisors: 1 2 3 6 17 34 51 101 102 199 202 303 398 509 597 606 1018 1031 1194 1527 1717 2062 3054 3093 3383 3434 5151 6186 6766 8653 10149 10302 17306 17527 20099 20298 25959 35054 40198 51409 51918 52581 60297 101291 102818 104131 105162 120594 154227 202582 205169 208262 303873 308454 312393 341683 410338 524779 607746 615507 624786 683366 873953 1025049 1049558 1231014 1574337 1721947 1747906 1770227 2050098 2621859 3148674 3443894 3487873 3540454 5165841 5243718 5310681 6975746 8921243 10230391 10331682 10463619 10621362 17842486 20460782 20722069 20927238 26763729 30691173 41444138 53002679 53527458 61382346 62166207 104431021 106005358 124332414 159008037 173916647 208862042 313293063 318016074 347833294 352275173 521749941 626586126 704550346 901045543 1043499882 1056825519 1775327357 1802091086 2113651038 2703136629 3550654714 5325982071 5406273258 10547533121 10651964142 21095066242 31642599363 63285198726 179308063057 358616126114 537924189171 1075848378342