Search a number
-
+
159883000914 = 23731339715053
BaseRepresentation
bin1001010011100111000…
…1001111110001010010
3120021200112001222102110
42110321301033301102
510104420022012124
6201241011330150
714360023041000
oct2247161176122
9507615058373
10159883000914
1161895870aaa
1226ba05b0956
13120ccc538b0
147a4a179a70
15425b57b029
hex2539c4fc52

159883000914 has 128 divisors (see below), whose sum is σ = 402628262400. Its totient is φ = 42057937152.

The previous prime is 159883000843. The next prime is 159883000939. The reversal of 159883000914 is 419000388951.

159883000914 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1598830009142 (a number of 23 digits) contains 22 as substring.

It is a Curzon number.

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 63 ways as a sum of consecutive naturals, for example, 10613812 + ... + 10628864.

It is an arithmetic number, because the mean of its divisors is an integer number (3145533300).

Almost surely, 2159883000914 is an apocalyptic number.

159883000914 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 159883000914, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201314131200).

159883000914 is an abundant number, since it is smaller than the sum of its proper divisors (242745261486).

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

159883000914 is a wasteful number, since it uses less digits than its factorization.

159883000914 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15489 (or 15475 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 48.

The spelling of 159883000914 in words is "one hundred fifty-nine billion, eight hundred eighty-three million, nine hundred fourteen", and thus it is an aban number.

Divisors: 1 2 3 6 7 13 14 21 26 39 42 49 78 91 98 147 182 273 294 343 397 546 637 686 794 1029 1191 1274 1911 2058 2382 2779 3822 4459 5161 5558 8337 8918 10322 13377 15053 15483 16674 19453 26754 30106 30966 36127 38906 45159 58359 72254 90318 105371 108381 116718 136171 195689 210742 216762 252889 272342 316113 391378 408513 505778 587067 632226 737597 758667 817026 1174134 1369823 1475194 1517334 1770223 2212791 2739646 3540446 4109469 4425582 5163179 5310669 5976041 8218938 9588761 10326358 10621338 11952082 15489537 17928123 19177522 28766283 30979074 35856246 41832287 57532566 67121327 77688533 83664574 125496861 134242654 155377066 201363981 233065599 250993722 292826009 402727962 466131198 543819731 585652018 878478027 1087639462 1631459193 1756956054 2049782063 3262918386 3806738117 4099564126 6149346189 7613476234 11420214351 12298692378 22840428702 26647166819 53294333638 79941500457 159883000914