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10293928681 = 71214292
BaseRepresentation
bin10011001011001000…
…01110001011101001
3222120101211202110211
421211210032023221
5132040221204211
64421242341121
7513043643611
oct114544161351
928511752424
1010293928681
114402721a83
121bb34ba7a1
13c8087097a
146d91d5a41
15403abce21
hex26590e2e9

10293928681 has 9 divisors (see below), whose sum is σ = 10448267223. Its totient is φ = 10141841640.

The previous prime is 10293928679. The next prime is 10293928703. The reversal of 10293928681 is 18682939201.

The square root of 10293928681 is 101459.

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

It can be written as a sum of positive squares in only one way, i.e., 693848281 + 9600080400 = 26341^2 + 97980^2 .

It is not a de Polignac number, because 10293928681 - 21 = 10293928679 is a prime.

It is a super-2 number, since 2×102939286812 (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 (10293923681) 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, 7202875 + ... + 7204303.

Almost surely, 210293928681 is an apocalyptic number.

10293928681 is the 101459-th square number.

10293928681 is the 50730-th centered octagonal number.

It is an amenable number.

10293928681 is a deficient number, since it is larger than the sum of its proper divisors (154338542).

10293928681 is an frugal number, since it uses more digits than its factorization.

10293928681 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3000 (or 1500 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 49.

Multiplying 10293928681 by its sum of digits (49), we get a square (504402505369 = 7102132).

The spelling of 10293928681 in words is "ten billion, two hundred ninety-three million, nine hundred twenty-eight thousand, six hundred eighty-one".

Divisors: 1 71 1429 5041 101459 2042041 7203589 144984911 10293928681