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10945332194256 = 243276009251349
BaseRepresentation
bin1001111101000110100010…
…1000110010101111010000
31102202100211000112101222100
42133101220220302233100
52413312020020204011
635140114410440400
72206526351410425
oct237215050625720
942670730471870
1010945332194256
11353a986752369
121289341733100
136151a95b61c5
1429ba84d37d4c
1513eaa712ad56
hex9f468a32bd0

10945332194256 has 30 divisors (see below), whose sum is σ = 30631728294050. Its totient is φ = 3648444064704.

The previous prime is 10945332194191. The next prime is 10945332194257. The reversal of 10945332194256 is 65249123354901.

10945332194256 is a `hidden beast` number, since 1 + 0 + 9 + 4 + 533 + 2 + 19 + 42 + 56 = 666.

It can be written as a sum of positive squares in only one way, i.e., 10928207854656 + 17124339600 = 3305784^2 + 130860^2 .

It is a super-4 number, since 4×109453321942564 (a number of 53 digits) contains 4444 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10945332194257) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 38004625531 + ... + 38004625818.

Almost surely, 210945332194256 is an apocalyptic number.

10945332194256 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

10945332194256 is an abundant number, since it is smaller than the sum of its proper divisors (19686396099794).

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

10945332194256 is a wasteful number, since it uses less digits than its factorization.

10945332194256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76009251363 (or 76009251354 counting only the distinct ones).

The product of its (nonzero) digits is 6998400, while the sum is 54.

The spelling of 10945332194256 in words is "ten trillion, nine hundred forty-five billion, three hundred thirty-two million, one hundred ninety-four thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 76009251349 152018502698 228027754047 304037005396 456055508094 608074010792 684083262141 912111016188 1216148021584 1368166524282 1824222032376 2736333048564 3648444064752 5472666097128 10945332194256