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10645421256 = 23323735911131
BaseRepresentation
bin10011110101000010…
…00011110011001000
31000110220020102122100
421322201003303020
5133300211440011
64520200153400
7524542405401
oct117241036310
930426212570
1010645421256
114573076608
122091168860
13100862a342
1472db709a8
1542489dd56
hex27a843cc8

10645421256 has 96 divisors (see below), whose sum is σ = 29695723200. Its totient is φ = 3442642560.

The previous prime is 10645421231. The next prime is 10645421257. The reversal of 10645421256 is 65212454601.

10645421256 is a `hidden beast` number, since 1 + 0 + 64 + 542 + 1 + 2 + 56 = 666.

It is a super-2 number, since 2×106454212562 (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 self number, because there is not a number n which added to its sum of digits gives 10645421256.

It is not an unprimeable number, because it can be changed into a prime (10645421257) 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, 950811 + ... + 961941.

It is an arithmetic number, because the mean of its divisors is an integer number (309330450).

Almost surely, 210645421256 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 10645421256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14847861600).

10645421256 is an abundant number, since it is smaller than the sum of its proper divisors (19050301944).

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

10645421256 is a wasteful number, since it uses less digits than its factorization.

10645421256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11539 (or 11532 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

Adding to 10645421256 its reverse (65212454601), we get a palindrome (75857875857).

The spelling of 10645421256 in words is "ten billion, six hundred forty-five million, four hundred twenty-one thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 37 72 74 111 148 222 296 333 359 444 666 718 888 1077 1332 1436 2154 2664 2872 3231 4308 6462 8616 11131 12924 13283 22262 25848 26566 33393 39849 44524 53132 66786 79698 89048 100179 106264 119547 133572 159396 200358 239094 267144 318792 400716 411847 478188 801432 823694 956376 1235541 1647388 2471082 3294776 3706623 3996029 4942164 7413246 7992058 9884328 11988087 14826492 15984116 23976174 29652984 31968232 35964261 47952348 71928522 95904696 143857044 147853073 287714088 295706146 443559219 591412292 887118438 1182824584 1330677657 1774236876 2661355314 3548473752 5322710628 10645421256