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155680120132200 = 23325286488955629
BaseRepresentation
bin100011011001011100011010…
…010000100101001001101000
3202102012212121020121101201200
4203121130122100211021220
5130401130341223212300
61311034243155244200
744535342335230026
oct4331343220451150
9672185536541650
10155680120132200
1145671628273504
1215563a252a9660
1368b3759564611
142a62d5ab33716
1512ee8e57bc200
hex8d971a425268

155680120132200 has 72 divisors (see below), whose sum is σ = 522825736783350. Its totient is φ = 41514698701440.

The previous prime is 155680120132127. The next prime is 155680120132223. The reversal of 155680120132200 is 2231021086551.

155680120132200 is a `hidden beast` number, since 1 + 5 + 56 + 80 + 1 + 201 + 322 + 0 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 149550544395396 + 6129575736804 = 12229086^2 + 2475798^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 43244476015 + ... + 43244479614.

Almost surely, 2155680120132200 is an apocalyptic number.

155680120132200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

155680120132200 is an abundant number, since it is smaller than the sum of its proper divisors (367145616651150).

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

155680120132200 is a wasteful number, since it uses less digits than its factorization.

155680120132200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86488955651 (or 86488955639 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The spelling of 155680120132200 in words is "one hundred fifty-five trillion, six hundred eighty billion, one hundred twenty million, one hundred thirty-two thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 30 36 40 45 50 60 72 75 90 100 120 150 180 200 225 300 360 450 600 900 1800 86488955629 172977911258 259466866887 345955822516 432444778145 518933733774 691911645032 778400600661 864889556290 1037867467548 1297334334435 1556801201322 1729779112580 2075734935096 2162223890725 2594668668870 3113602402644 3459558225160 3892003003305 4324447781450 5189337337740 6227204805288 6486671672175 7784006006610 8648895562900 10378674675480 12973343344350 15568012013220 17297791125800 19460015016525 25946686688700 31136024026440 38920030033050 51893373377400 77840060066100 155680120132200