Search a number
-
+
3679093421856 = 25334258209979
BaseRepresentation
bin110101100010011011000…
…011100111011100100000
3111000201101100100110112000
4311202123003213130200
5440234240403444411
611454052512204000
7526543236046536
oct65423303473440
914021340313460
103679093421856
111199327360816
124b5048b39600
13208c24834638
14ca0d7766156
1565a7d1a4956
hex3589b0e7720

3679093421856 has 48 divisors (see below), whose sum is σ = 10730689149600. Its totient is φ = 1226364473664.

The previous prime is 3679093421851. The next prime is 3679093421863. The reversal of 3679093421856 is 6581243909763.

3679093421856 is a `hidden beast` number, since 3 + 6 + 79 + 0 + 93 + 421 + 8 + 56 = 666.

It is a tau number, because it is divible by the number of its divisors (48).

It is a junction number, because it is equal to n+sod(n) for n = 3679093421793 and 3679093421802.

It is not an unprimeable number, because it can be changed into a prime (3679093421851) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2129104126 + ... + 2129105853.

It is an arithmetic number, because the mean of its divisors is an integer number (223556023950).

It is a 1-persistent number, because it is pandigital, but 2⋅3679093421856 = 7358186843712 is not.

Almost surely, 23679093421856 is an apocalyptic number.

3679093421856 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

3679093421856 is an abundant number, since it is smaller than the sum of its proper divisors (7051595727744).

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

3679093421856 is a wasteful number, since it uses less digits than its factorization.

3679093421856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4258209998 (or 4258209984 counting only the distinct ones).

The product of its (nonzero) digits is 58786560, while the sum is 63.

The spelling of 3679093421856 in words is "three trillion, six hundred seventy-nine billion, ninety-three million, four hundred twenty-one thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 864 4258209979 8516419958 12774629937 17032839916 25549259874 34065679832 38323889811 51098519748 68131359664 76647779622 102197039496 114971669433 136262719328 153295559244 204394078992 229943338866 306591118488 408788157984 459886677732 613182236976 919773355464 1226364473952 1839546710928 3679093421856