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105380058948 = 223191074319563
BaseRepresentation
bin110001000100100100…
…1000001011101000100
3101002000010011122200020
41202021021001131010
53211304243341243
6120224432215140
710420262502363
oct1421111013504
9332003148606
10105380058948
114076732900a
121850b69a4b0
139c2531a288
1451597b57da
152b1b716283
hex1889241744

105380058948 has 48 divisors (see below), whose sum is σ = 261247230720. Its totient is φ = 32966897184.

The previous prime is 105380058871. The next prime is 105380059003. The reversal of 105380058948 is 849850083501.

It is a super-2 number, since 2×1053800589482 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 105380058948.

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, 2135386 + ... + 2184177.

It is an arithmetic number, because the mean of its divisors is an integer number (5442650640).

Almost surely, 2105380058948 is an apocalyptic number.

It is an amenable number.

105380058948 is an abundant number, since it is smaller than the sum of its proper divisors (155867171772).

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

105380058948 is a wasteful number, since it uses less digits than its factorization.

105380058948 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4319696 (or 4319694 counting only the distinct ones).

The product of its (nonzero) digits is 1382400, while the sum is 51.

The spelling of 105380058948 in words is "one hundred five billion, three hundred eighty million, fifty-eight thousand, nine hundred forty-eight".

Divisors: 1 2 3 4 6 12 19 38 57 76 107 114 214 228 321 428 642 1284 2033 4066 6099 8132 12198 24396 4319563 8639126 12958689 17278252 25917378 51834756 82071697 164143394 246215091 328286788 462193241 492430182 924386482 984860364 1386579723 1848772964 2773159446 5546318892 8781671579 17563343158 26345014737 35126686316 52690029474 105380058948