Search a number
-
+
4893334648992 = 253222376191683
BaseRepresentation
bin100011100110101000101…
…1110010011100010100000
3122022210112220102212111100
41013031101132103202200
51120133022132231432
614223544503514400
71013350252144326
oct107152136234240
918283486385440
104893334648992
111617284927609
1267043ba58a00
132965936bb75a
1412cba53dbd16
158744827307c
hex473517938a0

4893334648992 has 72 divisors (see below), whose sum is σ = 13977821579904. Its totient is φ = 1623797126784.

The previous prime is 4893334648991. The next prime is 4893334649059. The reversal of 4893334648992 is 2998464333984.

4893334648992 is a `hidden beast` number, since 4 + 89 + 3 + 3 + 3 + 464 + 89 + 9 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 4893334648992.

It is not an unprimeable number, because it can be changed into a prime (4893334648991) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 38031618 + ... + 38160065.

It is an arithmetic number, because the mean of its divisors is an integer number (194136410832).

Almost surely, 24893334648992 is an apocalyptic number.

It is an amenable number.

4893334648992 is an abundant number, since it is smaller than the sum of its proper divisors (9084486930912).

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

4893334648992 is a wasteful number, since it uses less digits than its factorization.

4893334648992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76191922 (or 76191911 counting only the distinct ones).

The product of its digits is 967458816, while the sum is 72.

The spelling of 4893334648992 in words is "four trillion, eight hundred ninety-three billion, three hundred thirty-four million, six hundred forty-eight thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 223 288 446 669 892 1338 1784 2007 2676 3568 4014 5352 7136 8028 10704 16056 21408 32112 64224 76191683 152383366 228575049 304766732 457150098 609533464 685725147 914300196 1219066928 1371450294 1828600392 2438133856 2742900588 3657200784 5485801176 7314401568 10971602352 16990745309 21943204704 33981490618 50972235927 67962981236 101944471854 135925962472 152916707781 203888943708 271851924944 305833415562 407777887416 543703849888 611666831124 815555774832 1223333662248 1631111549664 2446667324496 4893334648992