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106688044065030 = 23513776693384817
BaseRepresentation
bin11000010000100000111110…
…111101111110000100000110
3111222202021111020011001102120
4120100200332331332010012
5102440434103240040110
61014523451045550410
731320646121541621
oct3020407675760406
9458667436131376
10106688044065030
1130aa316658332a
12bb70a36115406
13476b84096902c
141c4ba2c0b8db8
15c50302d95870
hex61083ef7e106

106688044065030 has 64 divisors (see below), whose sum is σ = 257954001140160. Its totient is φ = 28238788767744.

The previous prime is 106688044065011. The next prime is 106688044065041. The reversal of 106688044065030 is 30560440886601.

It is a super-2 number, since 2×1066880440650302 (a number of 29 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 29827182 + ... + 33211998.

It is an arithmetic number, because the mean of its divisors is an integer number (4030531267815).

Almost surely, 2106688044065030 is an apocalyptic number.

106688044065030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

106688044065030 is an abundant number, since it is smaller than the sum of its proper divisors (151265957075130).

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

106688044065030 is a wasteful number, since it uses less digits than its factorization.

106688044065030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3392633.

The product of its (nonzero) digits is 3317760, while the sum is 51.

The spelling of 106688044065030 in words is "one hundred six trillion, six hundred eighty-eight billion, forty-four million, sixty-five thousand, thirty".

Divisors: 1 2 3 5 6 10 15 30 137 274 411 685 822 1370 2055 4110 7669 15338 23007 38345 46014 76690 115035 230070 1050653 2101306 3151959 3384817 5253265 6303918 6769634 10154451 10506530 15759795 16924085 20308902 31519590 33848170 50772255 101544510 463719929 927439858 1391159787 2318599645 2782319574 4637199290 6955798935 13911597870 25958161573 51916323146 77874484719 129790807865 155748969438 259581615730 389372423595 778744847190 3556268135501 7112536271002 10668804406503 17781340677505 21337608813006 35562681355010 53344022032515 106688044065030