Search a number
-
+
10978189144 = 2313176209383
BaseRepresentation
bin10100011100101100…
…11101111101011000
31001100002101210100221
422032112131331120
5134440404023034
65013204405424
7536023032226
oct121626357530
931302353327
1010978189144
1147239a0a9a
1221646a6874
13105c55bc10
14762033b16
15443bd1bb4
hex28e59df58

10978189144 has 32 divisors (see below), whose sum is σ = 23471471520. Its totient is φ = 4768805376.

The previous prime is 10978189141. The next prime is 10978189147. The reversal of 10978189144 is 44198187901.

It is an interprime number because it is at equal distance from previous prime (10978189141) and next prime (10978189147).

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a junction number, because it is equal to n+sod(n) for n = 10978189091 and 10978189100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10978189141) 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 7 ways as a sum of consecutive naturals, for example, 3102924 + ... + 3106459.

It is an arithmetic number, because the mean of its divisors is an integer number (733483485).

Almost surely, 210978189144 is an apocalyptic number.

It is an amenable number.

10978189144 is an abundant number, since it is smaller than the sum of its proper divisors (12493282376).

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

10978189144 is a wasteful number, since it uses less digits than its factorization.

10978189144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6209419 (or 6209415 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 52.

The spelling of 10978189144 in words is "ten billion, nine hundred seventy-eight million, one hundred eighty-nine thousand, one hundred forty-four".

Divisors: 1 2 4 8 13 17 26 34 52 68 104 136 221 442 884 1768 6209383 12418766 24837532 49675064 80721979 105559511 161443958 211119022 322887916 422238044 645775832 844476088 1372273643 2744547286 5489094572 10978189144