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10554516112 = 247319101221
BaseRepresentation
bin10011101010001100…
…10010001010010000
31000020120011222020011
421311012102022100
5133103424003422
64503151524304
7522356623000
oct116506221220
930216158204
1010554516112
114526827198
122066829694
13cc284c40a
14721a6a000
1541b8e4077
hex275192290

10554516112 has 80 divisors (see below), whose sum is σ = 25103056000. Its totient is φ = 4285249920.

The previous prime is 10554516103. The next prime is 10554516121. The reversal of 10554516112 is 21161545501.

It is an interprime number because it is at equal distance from previous prime (10554516103) and next prime (10554516121).

It is a super-4 number, since 4×105545161124 (a number of 41 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 53662 + ... + 154882.

It is an arithmetic number, because the mean of its divisors is an integer number (313788200).

Almost surely, 210554516112 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 10554516112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12551528000).

10554516112 is an abundant number, since it is smaller than the sum of its proper divisors (14548539888).

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

10554516112 is a wasteful number, since it uses less digits than its factorization.

10554516112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101269 (or 101249 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 31.

The spelling of 10554516112 in words is "ten billion, five hundred fifty-four million, five hundred sixteen thousand, one hundred twelve".

Divisors: 1 2 4 7 8 14 16 19 28 38 49 56 76 98 112 133 152 196 266 304 343 392 532 686 784 931 1064 1372 1862 2128 2744 3724 5488 6517 7448 13034 14896 26068 52136 101221 104272 202442 404884 708547 809768 1417094 1619536 1923199 2834188 3846398 4959829 5668376 7692796 9919658 11336752 13462393 15385592 19839316 26924786 30771184 34718803 39678632 53849572 69437606 79357264 94236751 107699144 138875212 188473502 215398288 277750424 376947004 555500848 659657257 753894008 1319314514 1507788016 2638629028 5277258056 10554516112