Search a number
-
+
4256461103004 = 22321110748639149
BaseRepresentation
bin111101111100001000110…
…110100001111110011100
3120001220200002111121010200
4331330020312201332130
51024214213020244004
613015220301303500
7616343034262635
oct75741066417634
916056602447120
104256461103004
1113a1178366170
12588b20264b90
1324b4c86399a6
1410a029cac88c
1575ac1140239
hex3df08da1f9c

4256461103004 has 36 divisors (see below), whose sum is σ = 11737513951800. Its totient is φ = 1289836697760.

The previous prime is 4256461102981. The next prime is 4256461103033. The reversal of 4256461103004 is 4003011646524.

4256461103004 is a `hidden beast` number, since 4 + 2 + 5 + 6 + 4 + 611 + 0 + 30 + 0 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×42564611030042 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 4256461103004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5374319179 + ... + 5374319970.

Almost surely, 24256461103004 is an apocalyptic number.

4256461103004 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

4256461103004 is an abundant number, since it is smaller than the sum of its proper divisors (7481052848796).

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

4256461103004 is a wasteful number, since it uses less digits than its factorization.

4256461103004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10748639170 (or 10748639165 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

Adding to 4256461103004 its reverse (4003011646524), we get a palindrome (8259472749528).

The spelling of 4256461103004 in words is "four trillion, two hundred fifty-six billion, four hundred sixty-one million, one hundred three thousand, four".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 396 10748639149 21497278298 32245917447 42994556596 64491834894 96737752341 118235030639 128983669788 193475504682 236470061278 354705091917 386951009364 472940122556 709410183834 1064115275751 1418820367668 2128230551502 4256461103004