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2115405664060 = 22513461115315307
BaseRepresentation
bin11110110010001000000…
…000001100111100111100
321111020020020222000101011
4132302020000030330330
5234124322322222220
64255445352525004
7305555503315033
oct36621000147474
97436206860334
102115405664060
11746158392357
122a1b910b0764
13124635965560
147455997171a
153a05e95d65a
hex1ec8800cf3c

2115405664060 has 96 divisors (see below), whose sum is σ = 4798920595392. Its totient is φ = 778651729920.

The previous prime is 2115405664019. The next prime is 2115405664067. The reversal of 2115405664060 is 604665045112.

It is a super-2 number, since 2×21154056640602 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2115405664067) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 138190927 + ... + 138206233.

It is an arithmetic number, because the mean of its divisors is an integer number (49988756202).

Almost surely, 22115405664060 is an apocalyptic number.

2115405664060 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2115405664060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2399460297696).

2115405664060 is an abundant number, since it is smaller than the sum of its proper divisors (2683514931332).

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

2115405664060 is a wasteful number, since it uses less digits than its factorization.

2115405664060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16943 (or 16941 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 40.

The spelling of 2115405664060 in words is "two trillion, one hundred fifteen billion, four hundred five million, six hundred sixty-four thousand, sixty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 461 922 1153 1844 2305 2306 4610 4612 5765 5993 9220 11530 11986 14989 15307 23060 23972 29965 29978 30614 59930 59956 61228 74945 76535 119860 149890 153070 198991 299780 306140 397982 531533 795964 994955 1063066 1989910 2126132 2657665 3979820 5315330 6909929 7056527 10630660 13819858 14113054 17648971 27639716 28226108 34549645 35282635 35297942 69099290 70565270 70595884 88244855 91734851 138198580 141130540 176489710 183469702 229436623 352979420 366939404 458674255 458873246 917348510 917746492 1147183115 1834697020 2294366230 4588732460 8136175631 16272351262 32544702524 40680878155 81361756310 105770283203 162723512620 211540566406 423081132812 528851416015 1057702832030 2115405664060