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10742493316 = 2229217872
BaseRepresentation
bin10100000000100110…
…10111000010000100
31000201122220012110211
422000103113002010
5134000034241231
64533544525204
7530131454332
oct120023270204
930648805424
1010742493316
114612948255
1220b9780804
131022787229
1473c9dcb52
1542d175eb1
hex2804d7084

10742493316 has 27 divisors (see below), whose sum is σ = 19480872229. Its totient is φ = 5183129168.

The previous prime is 10742493313. The next prime is 10742493319. The reversal of 10742493316 is 61339424701.

The square root of 10742493316 is 103646.

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 (10742493313) and next prime (10742493319).

It can be written as a sum of positive squares in only one way, i.e., 5633102916 + 5109390400 = 75054^2 + 71480^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10742493313) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 6010575 + ... + 6012361.

Almost surely, 210742493316 is an apocalyptic number.

10742493316 is the 103646-th square number.

It is an amenable number.

10742493316 is a deficient number, since it is larger than the sum of its proper divisors (8738378913).

10742493316 is an frugal number, since it uses more digits than its factorization.

10742493316 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3636 (or 1818 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 40.

The spelling of 10742493316 in words is "ten billion, seven hundred forty-two million, four hundred ninety-three thousand, three hundred sixteen".

Divisors: 1 2 4 29 58 116 841 1682 1787 3364 3574 7148 51823 103646 207292 1502867 3005734 3193369 6011468 6386738 12773476 92607701 185215402 370430804 2685623329 5371246658 10742493316