Search a number
-
+
246372142151260 = 2251491733461138079
BaseRepresentation
bin111000000001001011111100…
…000000111111011001011100
31012022022221120012012122111101
4320001023330000333121130
5224243030121342320020
62231553444414402444
7102615541233106606
oct7001137400773134
91168287505178441
10246372142151260
1171557925377084
12237706a3b00424
13a761a40bb82a8
1444ba692346176
151d73a88b0500a
hexe012fc03f65c

246372142151260 has 96 divisors (see below), whose sum is σ = 524019730752000. Its totient is φ = 97292807562240.

The previous prime is 246372142151257. The next prime is 246372142151293. The reversal of 246372142151260 is 62151241273642.

It is a self number, because there is not a number n which added to its sum of digits gives 246372142151260.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1784214901 + ... + 1784352979.

It is an arithmetic number, because the mean of its divisors is an integer number (5458538862000).

Almost surely, 2246372142151260 is an apocalyptic number.

246372142151260 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

246372142151260 is an abundant number, since it is smaller than the sum of its proper divisors (277647588600740).

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

246372142151260 is a wasteful number, since it uses less digits than its factorization.

246372142151260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141871 (or 141869 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 46.

The spelling of 246372142151260 in words is "two hundred forty-six trillion, three hundred seventy-two billion, one hundred forty-two million, one hundred fifty-one thousand, two hundred sixty".

Divisors: 1 2 4 5 10 20 149 173 298 346 596 692 745 865 1490 1730 2980 3460 3461 6922 13844 17305 25777 34610 51554 69220 103108 128885 138079 257770 276158 515540 515689 552316 598753 690395 1031378 1197506 1380790 2062756 2395012 2578445 2761580 2993765 5156890 5987530 10313780 11975060 20573771 23887667 41147542 47775334 82295084 89214197 95550668 102868855 119438335 178428394 205737710 238876670 356856788 411475420 446070985 477753340 477891419 892141970 955782838 1784283940 1911565676 2389457095 3559262383 4778914190 7118524766 9557828380 14237049532 17796311915 35592623830 71185247660 71205821431 82675215487 142411642862 165350430974 284823285724 330700861948 356029107155 413376077435 712058214310 826752154870 1424116428620 1653504309740 12318607107563 24637214215126 49274428430252 61593035537815 123186071075630 246372142151260