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105448755937 = 7192238321859
BaseRepresentation
bin110001000110100111…
…1000101001011100001
3101002011220102211020011
41202031033011023201
53211424340142222
6120235324444521
710422055431220
oct1421517051341
9332156384204
10105448755937
11407a208a088
121852a6a9741
139c36620995
145164978cb7
152b22785c77
hex188d3c52e1

105448755937 has 48 divisors (see below), whose sum is σ = 134324628480. Its totient is φ = 80914119264.

The previous prime is 105448755931. The next prime is 105448755953. The reversal of 105448755937 is 739557844501.

It is not a de Polignac number, because 105448755937 - 215 = 105448723169 is a prime.

It is a super-2 number, since 2×1054487559372 (a number of 23 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (58) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (105448755931) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4813114 + ... + 4834972.

It is an arithmetic number, because the mean of its divisors is an integer number (2798429760).

Almost surely, 2105448755937 is an apocalyptic number.

It is an amenable number.

105448755937 is a deficient number, since it is larger than the sum of its proper divisors (28875872543).

105448755937 is a wasteful number, since it uses less digits than its factorization.

105448755937 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22010 (or 21991 counting only the distinct ones).

The product of its (nonzero) digits is 21168000, while the sum is 58.

The spelling of 105448755937 in words is "one hundred five billion, four hundred forty-eight million, seven hundred fifty-five thousand, nine hundred thirty-seven".

Divisors: 1 7 19 23 83 133 161 361 437 581 1577 1909 2527 3059 8303 11039 13363 21859 29963 36271 58121 153013 209741 253897 415321 502757 689149 1814297 2907247 3519299 4824043 7891099 9552383 12700079 34471643 41728831 55237693 66866681 181495277 241301501 292101817 654961217 792847789 1270466939 4584728519 5549934523 15064107991 105448755937