Search a number
-
+
4960076946363 = 33711171131241957
BaseRepresentation
bin100100000101101101110…
…0111111101101110111011
3122120011211021211212111000
41020023123213331232323
51122231214144240423
614314343342540043
71021232221255560
oct110133347755673
918504737755430
104960076946363
111642614144460
12681367897623
1329c96bc431c6
141320d74c8867
1589052888843
hex482db9fdbbb

4960076946363 has 128 divisors (see below), whose sum is σ = 9786231613440. Its totient is φ = 2403631964160.

The previous prime is 4960076946311. The next prime is 4960076946389. The reversal of 4960076946363 is 3636496700694.

4960076946363 is a `hidden beast` number, since 49 + 6 + 0 + 0 + 76 + 9 + 463 + 63 = 666.

It is not a de Polignac number, because 4960076946363 - 220 = 4960075897787 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 4960076946363.

It is not an unprimeable number, because it can be changed into a prime (4960076446363) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3372781 + ... + 4614737.

It is an arithmetic number, because the mean of its divisors is an integer number (76454934480).

Almost surely, 24960076946363 is an apocalyptic number.

4960076946363 is a deficient number, since it is larger than the sum of its proper divisors (4826154667077).

4960076946363 is a wasteful number, since it uses less digits than its factorization.

4960076946363 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1242114 (or 1242108 counting only the distinct ones).

The product of its (nonzero) digits is 105815808, while the sum is 63.

The spelling of 4960076946363 in words is "four trillion, nine hundred sixty billion, seventy-six million, nine hundred forty-six thousand, three hundred sixty-three".

Divisors: 1 3 7 9 11 17 21 27 33 51 63 77 99 113 119 153 187 189 231 297 339 357 459 561 693 791 1017 1071 1243 1309 1683 1921 2079 2373 3051 3213 3729 3927 5049 5763 7119 8701 11187 11781 13447 17289 21131 21357 26103 33561 35343 40341 51867 63393 78309 121023 147917 190179 234927 363069 443751 570537 1241957 1331253 3725871 3993759 8693699 11177613 13661527 21113269 26081097 33532839 40984581 63339807 78243291 95630689 122953743 140341141 147792883 190019421 232245959 234729873 286892067 368861229 421023423 443378649 570058263 696737877 860676201 982387987 1263070269 1330135947 1543752551 1625721713 2090213631 2385799397 2582028603 2947163961 3789210807 3990407841 4631257653 4877165139 6270640893 7157398191 8841491883 10806267857 13893772959 14631495417 16700595779 21472194573 26243793367 26524475649 32418803571 41681318877 43894486251 50101787337 64416583719 78731380101 97256410713 150305362011 183706553569 236194140303 291769232139 450916086033 551119660707 708582420909 1653358982121 4960076946363