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10644892544 = 271113718191
BaseRepresentation
bin10011110100111110…
…00010101110000000
31000110212020120101102
421322133002232000
5133300043030134
64520140553532
7524535044066
oct117237025600
930425216342
1010644892544
114572845360
122090b528a8
1310084a37b0
1472da74036
154247e737e
hex27a7c2b80

10644892544 has 128 divisors (see below), whose sum is σ = 25268060160. Its totient is φ = 4402944000.

The previous prime is 10644892493. The next prime is 10644892547. The reversal of 10644892544 is 44529844601.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×106448925442 (a number of 21 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (47) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10644892547) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1295489 + ... + 1303679.

It is an arithmetic number, because the mean of its divisors is an integer number (197406720).

Almost surely, 210644892544 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 10644892544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12634030080).

10644892544 is an abundant number, since it is smaller than the sum of its proper divisors (14623167616).

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

10644892544 is a wasteful number, since it uses less digits than its factorization.

10644892544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8300 (or 8288 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 47.

The spelling of 10644892544 in words is "ten billion, six hundred forty-four million, eight hundred ninety-two thousand, five hundred forty-four".

Divisors: 1 2 4 8 11 13 16 22 26 32 44 52 64 71 88 104 128 142 143 176 208 284 286 352 416 568 572 704 781 832 923 1136 1144 1408 1562 1664 1846 2272 2288 3124 3692 4544 4576 6248 7384 8191 9088 9152 10153 12496 14768 16382 18304 20306 24992 29536 32764 40612 49984 59072 65528 81224 90101 99968 106483 118144 131056 162448 180202 212966 262112 324896 360404 425932 524224 581561 649792 720808 851864 1048448 1163122 1171313 1299584 1441616 1703728 2326244 2342626 2883232 3407456 4652488 4685252 5766464 6397171 6814912 7560293 9304976 9370504 11532928 12794342 13629824 15120586 18609952 18741008 25588684 30241172 37219904 37482016 51177368 60482344 74439808 74964032 83163223 102354736 120964688 149928064 166326446 204709472 241929376 332652892 409418944 483858752 665305784 818837888 967717504 1330611568 2661223136 5322446272 10644892544