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106485150384 = 2432799360509
BaseRepresentation
bin110001100101100000…
…0100111001010110000
3101011212010121010010200
41203023000213022300
53221040144303014
6120530230155200
710456541562324
oct1431300471260
9334763533120
10106485150384
1141184100618
12187797b2b00
13a070261532
14522247b984
152b83755a09
hex18cb0272b0

106485150384 has 60 divisors (see below), whose sum is σ = 301782842400. Its totient is φ = 35045741952.

The previous prime is 106485150379. The next prime is 106485150391. The reversal of 106485150384 is 483051584601.

106485150384 is a `hidden beast` number, since 1 + 0 + 64 + 8 + 5 + 1 + 503 + 84 = 666.

It is a super-3 number, since 3×1064851503843 (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4668879 + ... + 4691630.

It is an arithmetic number, because the mean of its divisors is an integer number (5029714040).

Almost surely, 2106485150384 is an apocalyptic number.

It is an amenable number.

106485150384 is an abundant number, since it is smaller than the sum of its proper divisors (195297692016).

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

106485150384 is a wasteful number, since it uses less digits than its factorization.

106485150384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9360602 (or 9360593 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 45.

The spelling of 106485150384 in words is "one hundred six billion, four hundred eighty-five million, one hundred fifty thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 79 144 158 237 316 474 632 711 948 1264 1422 1896 2844 3792 5688 11376 9360509 18721018 28081527 37442036 56163054 74884072 84244581 112326108 149768144 168489162 224652216 336978324 449304432 673956648 739480211 1347913296 1478960422 2218440633 2957920844 4436881266 5915841688 6655321899 8873762532 11831683376 13310643798 17747525064 26621287596 35495050128 53242575192 106485150384