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10645351038 = 2327212919349
BaseRepresentation
bin10011110101000001…
…10010101001111110
31000110220002212022200
421322200302221332
5133300202213123
64520154452330
7524541663600
oct117240625176
930426085280
1010645351038
114573028883
1220911340a6
1310086043aa
1472db53170
15424888143
hex27a832a7e

10645351038 has 72 divisors (see below), whose sum is σ = 26854284600. Its totient is φ = 3038847840.

The previous prime is 10645351037. The next prime is 10645351063. The reversal of 10645351038 is 83015354601.

10645351038 is a `hidden beast` number, since 1 + 0 + 64 + 53 + 510 + 38 = 666.

It is a super-2 number, since 2×106453510382 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10645350993 and 10645351011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10645351037) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1133988 + ... + 1143336.

It is an arithmetic number, because the mean of its divisors is an integer number (372976175).

Almost surely, 210645351038 is an apocalyptic number.

10645351038 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10645351038, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13427142300).

10645351038 is an abundant number, since it is smaller than the sum of its proper divisors (16208933562).

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

10645351038 is a wasteful number, since it uses less digits than its factorization.

10645351038 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10662 (or 10652 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The spelling of 10645351038 in words is "ten billion, six hundred forty-five million, three hundred fifty-one thousand, thirty-eight".

Divisors: 1 2 3 6 7 9 14 18 21 42 49 63 98 126 147 294 441 882 1291 2582 3873 7746 9037 9349 11619 18074 18698 23238 27111 28047 54222 56094 63259 65443 81333 84141 126518 130886 162666 168282 189777 196329 379554 392658 458101 569331 588987 916202 1138662 1177974 1374303 2748606 4122909 8245818 12069559 24139118 36208677 72417354 84486913 108626031 168973826 217252062 253460739 506921478 591408391 760382217 1182816782 1520764434 1774225173 3548450346 5322675519 10645351038