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10287037044 = 22332393531129
BaseRepresentation
bin10011001010010011…
…11011101001110100
3222112220212121221000
421211021323221310
5132031440141134
64420434523300
7512631241434
oct114511735164
928486777830
1010287037044
1143a9845209
121bb1136530
13c7c2c9b8b
146d83202c4
154031aae99
hex26527ba74

10287037044 has 96 divisors (see below), whose sum is σ = 26881344000. Its totient is φ = 3401975808.

The previous prime is 10287037043. The next prime is 10287037049. The reversal of 10287037044 is 44073078201.

It is a happy number.

10287037044 is a `hidden beast` number, since 1 + 0 + 287 + 0 + 370 + 4 + 4 = 666.

It is a super-2 number, since 2×102870370442 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10287037043) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9111072 + ... + 9112200.

It is an arithmetic number, because the mean of its divisors is an integer number (280014000).

Almost surely, 210287037044 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10287037044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13440672000).

10287037044 is an abundant number, since it is smaller than the sum of its proper divisors (16594306956).

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

10287037044 is a wasteful number, since it uses less digits than its factorization.

10287037044 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1734 (or 1726 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The spelling of 10287037044 in words is "ten billion, two hundred eighty-seven million, thirty-seven thousand, forty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 239 353 478 706 717 956 1059 1129 1412 1434 2118 2151 2258 2868 3177 3387 4236 4302 4516 6354 6453 6774 8604 9531 10161 12708 12906 13548 19062 20322 25812 30483 38124 40644 60966 84367 121932 168734 253101 269831 337468 398537 506202 539662 759303 797074 809493 1012404 1079324 1195611 1518606 1594148 1618986 2277909 2391222 2428479 3037212 3237972 3586833 4555818 4782444 4856958 7173666 7285437 9111636 9713916 10760499 14347332 14570874 21520998 29141748 43041996 95250343 190500686 285751029 381001372 571502058 857253087 1143004116 1714506174 2571759261 3429012348 5143518522 10287037044