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10524406112 = 2511417110271
BaseRepresentation
bin10011100110100110…
…11011000101100000
31000011110112020001222
421303103123011200
5133023221443422
64500154314212
7521542655513
oct116323330540
930143466058
1010524406112
1145108310a0
122058728968
13cb953934c
1471ba6cd7a
15418e47842
hex2734db160

10524406112 has 96 divisors (see below), whose sum is σ = 23483271168. Its totient is φ = 4600960000.

The previous prime is 10524406111. The next prime is 10524406129. The reversal of 10524406112 is 21160442501.

It is a super-2 number, since 2×105244061122 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10524406111) 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, 1019537 + ... + 1029807.

It is an arithmetic number, because the mean of its divisors is an integer number (244617408).

Almost surely, 210524406112 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 10524406112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11741635584).

10524406112 is an abundant number, since it is smaller than the sum of its proper divisors (12958865056).

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

10524406112 is a wasteful number, since it uses less digits than its factorization.

10524406112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10404 (or 10396 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 26.

Adding to 10524406112 its reverse (21160442501), we get a palindrome (31684848613).

The spelling of 10524406112 in words is "ten billion, five hundred twenty-four million, four hundred six thousand, one hundred twelve".

Divisors: 1 2 4 8 11 16 22 32 41 44 71 82 88 142 164 176 284 328 352 451 568 656 781 902 1136 1312 1562 1804 2272 2911 3124 3608 5822 6248 7216 10271 11644 12496 14432 20542 23288 24992 32021 41084 46576 64042 82168 93152 112981 128084 164336 225962 256168 328672 421111 451924 512336 729241 842222 903848 1024672 1458482 1684444 1807696 2916964 3368888 3615392 4632221 5833928 6737776 8021651 9264442 11667856 13475552 16043302 18528884 23335712 29898881 32086604 37057768 59797762 64173208 74115536 119595524 128346416 148231072 239191048 256692832 328887691 478382096 657775382 956764192 1315550764 2631101528 5262203056 10524406112