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106544471000 = 2353119685861
BaseRepresentation
bin110001100111010001…
…0111001101111011000
3101012000021012220201112
41203032202321233120
53221200341033000
6120540145435452
710461162026612
oct1431642715730
9335007186645
10106544471000
1141204638020
121879563bb88
13a07c6311a6
14522a2bddb2
152b88a72235
hex18ce8b9bd8

106544471000 has 64 divisors (see below), whose sum is σ = 271979004960. Its totient is φ = 38743440000.

The previous prime is 106544470987. The next prime is 106544471009. The reversal of 106544471000 is 174445601.

It is a super-3 number, since 3×1065444710003 (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106544471009) 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, 4831931 + ... + 4853930.

Almost surely, 2106544471000 is an apocalyptic number.

106544471000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106544471000 is an abundant number, since it is smaller than the sum of its proper divisors (165434533960).

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

106544471000 is a wasteful number, since it uses less digits than its factorization.

106544471000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9685893 (or 9685879 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 32.

The spelling of 106544471000 in words is "one hundred six billion, five hundred forty-four million, four hundred seventy-one thousand".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 125 200 220 250 275 440 500 550 1000 1100 1375 2200 2750 5500 11000 9685861 19371722 38743444 48429305 77486888 96858610 106544471 193717220 213088942 242146525 387434440 426177884 484293050 532722355 852355768 968586100 1065444710 1210732625 1937172200 2130889420 2421465250 2663611775 4261778840 4842930500 5327223550 9685861000 10654447100 13318058875 21308894200 26636117750 53272235500 106544471000