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105447731755149 = 35761991611849
BaseRepresentation
bin10111111110011101110110…
…100101111111100010001101
3111211100201000201201102100000
4113332131312211333202031
5102310123423312131044
61012134004052354513
731132230044055420
oct2776356645774215
9454321021642300
10105447731755149
113066514a617163
12b9b0588015a39
1346ab8a86b0c34
141c079a9b279b7
15c2ce0e081d69
hex5fe77697f88d

105447731755149 has 24 divisors (see below), whose sum is σ = 180519573707200. Its totient is φ = 60255846716256.

The previous prime is 105447731755133. The next prime is 105447731755207. The reversal of 105447731755149 is 941557137744501.

105447731755149 is a `hidden beast` number, since 1 + 0 + 5 + 4 + 4 + 7 + 7 + 31 + 7 + 551 + 49 = 666.

It is not a de Polignac number, because 105447731755149 - 24 = 105447731755133 is a prime.

It is a super-2 number, since 2×1054477317551492 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105447731754149) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 30995804224 + ... + 30995807625.

Almost surely, 2105447731755149 is an apocalyptic number.

It is an amenable number.

105447731755149 is a deficient number, since it is larger than the sum of its proper divisors (75071841952051).

105447731755149 is an frugal number, since it uses more digits than its factorization.

105447731755149 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61991611871 (or 61991611859 counting only the distinct ones).

The product of its (nonzero) digits is 74088000, while the sum is 63.

The spelling of 105447731755149 in words is "one hundred five trillion, four hundred forty-seven billion, seven hundred thirty-one million, seven hundred fifty-five thousand, one hundred forty-nine".

Divisors: 1 3 7 9 21 27 63 81 189 243 567 1701 61991611849 185974835547 433941282943 557924506641 1301823848829 1673773519923 3905471546487 5021320559769 11716414639461 15063961679307 35149243918383 105447731755149