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106501106616 = 23317412548849
BaseRepresentation
bin110001100101111110…
…1011110101110111000
3101011220020121202222020
41203023331132232320
53221103240402431
6120532000154440
710460124320052
oct1431375365670
9334806552866
10106501106616
1141192109793
1218783008a20
13a07365a1a8
1452246328d2
152b84d58696
hex18cbf5ebb8

106501106616 has 32 divisors (see below), whose sum is σ = 266405802000. Its totient is φ = 35479964160.

The previous prime is 106501106611. The next prime is 106501106627. The reversal of 106501106616 is 616601105601.

It is a super-2 number, since 2×1065011066162 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106501106611) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1232641 + ... + 1316208.

Almost surely, 2106501106616 is an apocalyptic number.

It is an amenable number.

106501106616 is an abundant number, since it is smaller than the sum of its proper divisors (159904695384).

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

106501106616 is a wasteful number, since it uses less digits than its factorization.

106501106616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2550599 (or 2550595 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 33.

The spelling of 106501106616 in words is "one hundred six billion, five hundred one million, one hundred six thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 8 12 24 1741 3482 5223 6964 10446 13928 20892 41784 2548849 5097698 7646547 10195396 15293094 20390792 30586188 61172376 4437546109 8875092218 13312638327 17750184436 26625276654 35500368872 53250553308 106501106616