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106608627933 = 3179733327073
BaseRepresentation
bin110001101001001011…
…1101001000011011101
3101012011201221102111020
41203102113221003131
53221313302043213
6120550400514353
710462601246223
oct1432227510335
9335151842436
10106608627933
1141237878085
12187b301b9b9
13a08ca05282
145234a20b13
152b8e4e6923
hex18d25e90dd

106608627933 has 16 divisors (see below), whose sum is σ = 142963715520. Its totient is φ = 70663117824.

The previous prime is 106608627901. The next prime is 106608627967. The reversal of 106608627933 is 339726806601.

It is not a de Polignac number, because 106608627933 - 25 = 106608627901 is a prime.

It is a super-2 number, since 2×1066086279332 (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 (106608627973) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3924285 + ... + 3951357.

It is an arithmetic number, because the mean of its divisors is an integer number (8935232220).

Almost surely, 2106608627933 is an apocalyptic number.

It is an amenable number.

106608627933 is a deficient number, since it is larger than the sum of its proper divisors (36355087587).

106608627933 is a wasteful number, since it uses less digits than its factorization.

106608627933 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34588.

The product of its (nonzero) digits is 1959552, while the sum is 51.

The spelling of 106608627933 in words is "one hundred six billion, six hundred eight million, six hundred twenty-seven thousand, nine hundred thirty-three".

Divisors: 1 3 179 537 7333 21999 27073 81219 1312607 3937821 4846067 14538201 198526309 595578927 35536209311 106608627933