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164121225600060 = 223251753634387451
BaseRepresentation
bin100101010100010001110011…
…010110100001110000111100
3210112002211120101202021220100
4211110101303112201300330
5133002430232223200220
61341020130012321100
746366236652656411
oct4524216326416074
9715084511667810
10164121225600060
114832646a246483
12164a7962473190
137076746892a51
142c7571c8a6108
1513e9282bc8d90
hex9544735a1c3c

164121225600060 has 72 divisors (see below), whose sum is σ = 527118759878256. Its totient is φ = 41191209561600.

The previous prime is 164121225600019. The next prime is 164121225600067. The reversal of 164121225600060 is 60006522121461.

164121225600060 is a `hidden beast` number, since 1 + 6 + 4 + 1 + 21 + 2 + 25 + 600 + 0 + 6 + 0 = 666.

164121225600060 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 164121225599988 and 164121225600024.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164121225600067) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 26817190666 + ... + 26817196785.

It is an arithmetic number, because the mean of its divisors is an integer number (7321093887198).

Almost surely, 2164121225600060 is an apocalyptic number.

164121225600060 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

164121225600060 is an abundant number, since it is smaller than the sum of its proper divisors (362997534278196).

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

164121225600060 is a wasteful number, since it uses less digits than its factorization.

164121225600060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53634387483 (or 53634387478 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 164121225600060 in words is "one hundred sixty-four trillion, one hundred twenty-one billion, two hundred twenty-five million, six hundred thousand, sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 20 30 34 36 45 51 60 68 85 90 102 153 170 180 204 255 306 340 510 612 765 1020 1530 3060 53634387451 107268774902 160903162353 214537549804 268171937255 321806324706 482709487059 536343874510 643612649412 804515811765 911784586667 965418974118 1072687749020 1609031623530 1823569173334 1930837948236 2413547435295 2735353760001 3218063247060 3647138346668 4558922933335 4827094870590 5470707520002 8206061280003 9117845866670 9654189741180 10941415040004 13676768800005 16412122560006 18235691733340 27353537600010 32824245120012 41030306400015 54707075200020 82060612800030 164121225600060