Search a number
-
+
10953074734944 = 253114094528489
BaseRepresentation
bin1001111101100011011000…
…1000001111011101100000
31102210002210121111020002120
42133120312020033131200
52413423344113004234
635143434552144240
72210222255050356
oct237306610173540
942702717436076
1010953074734944
11354319a161821
12128a942698080
13615b416a4624
1429c1bb3437d6
1513edabc1c049
hex9f63620f760

10953074734944 has 24 divisors (see below), whose sum is σ = 28751821179480. Its totient is φ = 3651024911616.

The previous prime is 10953074734939. The next prime is 10953074735003. The reversal of 10953074734944 is 44943747035901.

It is a happy number.

10953074734944 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-2 number, since 2×109530747349442 (a number of 27 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (60) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 57047264149 + ... + 57047264340.

It is an arithmetic number, because the mean of its divisors is an integer number (1197992549145).

Almost surely, 210953074734944 is an apocalyptic number.

It is an amenable number.

10953074734944 is an abundant number, since it is smaller than the sum of its proper divisors (17798746444536).

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

10953074734944 is a wasteful number, since it uses less digits than its factorization.

10953074734944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114094528502 (or 114094528494 counting only the distinct ones).

The product of its (nonzero) digits is 45722880, while the sum is 60.

The spelling of 10953074734944 in words is "ten trillion, nine hundred fifty-three billion, seventy-four million, seven hundred thirty-four thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 114094528489 228189056978 342283585467 456378113956 684567170934 912756227912 1369134341868 1825512455824 2738268683736 3651024911648 5476537367472 10953074734944