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10643422146 = 2373761311173
BaseRepresentation
bin10011110100110010…
…11011101111000010
31000110202110212101020
421322121123233002
5133244204002041
64520045250310
7524516411160
oct117231335702
930422425336
1010643422146
114571a30655
122090563996
1310080aa436
1472d7b0230
15424606866
hex27a65bbc2

10643422146 has 64 divisors (see below), whose sum is σ = 25028329728. Its totient is φ = 2953698048.

The previous prime is 10643422123. The next prime is 10643422151. The reversal of 10643422146 is 64122434601.

It is a happy number.

It is a super-2 number, since 2×106434221462 (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 947016 + ... + 958188.

It is an arithmetic number, because the mean of its divisors is an integer number (391067652).

Almost surely, 210643422146 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10643422146, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12514164864).

10643422146 is an abundant number, since it is smaller than the sum of its proper divisors (14384907582).

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

10643422146 is a wasteful number, since it uses less digits than its factorization.

10643422146 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11835.

The product of its (nonzero) digits is 27648, while the sum is 33.

Adding to 10643422146 its reverse (64122434601), we get a palindrome (74765856747).

The spelling of 10643422146 in words is "ten billion, six hundred forty-three million, four hundred twenty-two thousand, one hundred forty-six".

Divisors: 1 2 3 6 7 14 21 37 42 74 111 222 259 518 613 777 1226 1554 1839 3678 4291 8582 11173 12873 22346 22681 25746 33519 45362 67038 68043 78211 136086 156422 158767 234633 317534 413401 469266 476301 826802 952602 1240203 2480406 2893807 5787614 6849049 8681421 13698098 17362842 20547147 41094294 47943343 95886686 143830029 253414813 287660058 506829626 760244439 1520488878 1773903691 3547807382 5321711073 10643422146