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10642742217 = 3213112317333
BaseRepresentation
bin10011110100101101…
…10101101111001001
31000110201012022200200
421322112311233021
5133244020222332
64520022522413
7524510546652
oct117226655711
930421168620
1010642742217
114571606828
122090296409
131007bccb03
1472d674529
1542452017c
hex27a5b5bc9

10642742217 has 24 divisors (see below), whose sum is σ = 15504897408. Its totient is φ = 7034320800.

The previous prime is 10642742207. The next prime is 10642742311. The reversal of 10642742217 is 71224724601.

10642742217 is a `hidden beast` number, since 1 + 0 + 6 + 427 + 4 + 221 + 7 = 666.

It is not a de Polignac number, because 10642742217 - 212 = 10642738121 is a prime.

It is a super-2 number, since 2×106427422172 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10642742207) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1447683 + ... + 1455015.

It is an arithmetic number, because the mean of its divisors is an integer number (646037392).

Almost surely, 210642742217 is an apocalyptic number.

It is an amenable number.

10642742217 is a deficient number, since it is larger than the sum of its proper divisors (4862155191).

10642742217 is a wasteful number, since it uses less digits than its factorization.

10642742217 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8701 (or 8698 counting only the distinct ones).

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

The spelling of 10642742217 in words is "ten billion, six hundred forty-two million, seven hundred forty-two thousand, two hundred seventeen".

Divisors: 1 3 9 131 393 1179 1231 3693 7333 11079 21999 65997 161261 483783 960623 1451349 2881869 8645607 9026923 27080769 81242307 1182526913 3547580739 10642742217