Search a number
-
+
106621614064 = 2478171116507
BaseRepresentation
bin110001101001100100…
…1001011011111110000
3101012012122101012010001
41203103021023133300
53221330113122224
6120551543115344
710463116523530
oct1432311133760
9335178335101
10106621614064
1141244137819
12187b7442b54
13a092601084
1452366414c0
152b9070e544
hex18d324b7f0

106621614064 has 40 divisors (see below), whose sum is σ = 236121637248. Its totient is φ = 45688992960.

The previous prime is 106621614061. The next prime is 106621614097. The reversal of 106621614064 is 460416126601.

It is a super-2 number, since 2×1066216140642 (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 (106621614061) 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 7 ways as a sum of consecutive naturals, for example, 856899 + ... + 973405.

Almost surely, 2106621614064 is an apocalyptic number.

106621614064 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

106621614064 is an abundant number, since it is smaller than the sum of its proper divisors (129500023184).

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

106621614064 is a wasteful number, since it uses less digits than its factorization.

106621614064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124693 (or 124687 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 37.

The spelling of 106621614064 in words is "one hundred six billion, six hundred twenty-one million, six hundred fourteen thousand, sixty-four".

Divisors: 1 2 4 7 8 14 16 28 56 112 8171 16342 32684 57197 65368 114394 116507 130736 228788 233014 457576 466028 815549 915152 932056 1631098 1864112 3262196 6524392 13048784 951978697 1903957394 3807914788 6663850879 7615829576 13327701758 15231659152 26655403516 53310807032 106621614064