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10675848976 = 2413219872
BaseRepresentation
bin10011111000101010…
…01000011100010000
31000120000111022121221
421330111020130100
5133331004131401
64523204254424
7525362135062
oct117425103420
930500438557
1010675848976
114589269391
12209b3a1414
131011a21c00
14733c11732
154273ae7a1
hex27c548710

10675848976 has 45 divisors (see below), whose sum is σ = 22409240661. Its totient is φ = 4924835136.

The previous prime is 10675848973. The next prime is 10675848979. The reversal of 10675848976 is 67984857601.

The square root of 10675848976 is 103324.

It is a perfect power (a square), and thus also a powerful number.

It is an interprime number because it is at equal distance from previous prime (10675848973) and next prime (10675848979).

It can be written as a sum of positive squares in only one way, i.e., 1579267600 + 9096581376 = 39740^2 + 95376^2 .

It is a super-2 number, since 2×106758489762 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10675848973) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 5371855 + ... + 5373841.

Almost surely, 210675848976 is an apocalyptic number.

10675848976 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

10675848976 is the 103324-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10675848976

10675848976 is an abundant number, since it is smaller than the sum of its proper divisors (11733391685).

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

10675848976 is an frugal number, since it uses more digits than its factorization.

10675848976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4008 (or 2002 counting only the distinct ones).

The product of its (nonzero) digits is 20321280, while the sum is 61.

The spelling of 10675848976 in words is "ten billion, six hundred seventy-five million, eight hundred forty-eight thousand, nine hundred seventy-six".

Divisors: 1 2 4 8 13 16 26 52 104 169 208 338 676 1352 1987 2704 3974 7948 15896 25831 31792 51662 103324 206648 335803 413296 671606 1343212 2686424 3948169 5372848 7896338 15792676 31585352 51326197 63170704 102652394 205304788 410609576 667240561 821219152 1334481122 2668962244 5337924488 10675848976