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368162868112 = 241331101565319
BaseRepresentation
bin1010101101110000011…
…01111000101110010000
31022012021220101111102221
411112320031320232100
522012444143234422
6441044235550424
735412263513344
oct5267015705620
91265256344387
10368162868112
11132156382a56
125b428bbb414
1328943784c70
1413b67b77624
15989b87e3c7
hex55b8378b90

368162868112 has 80 divisors (see below), whose sum is σ = 800818744320. Its totient is φ = 162811584000.

The previous prime is 368162868089. The next prime is 368162868133. The reversal of 368162868112 is 211868261863.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a self number, because there is not a number n which added to its sum of digits gives 368162868112.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 368589 + ... + 933907.

It is an arithmetic number, because the mean of its divisors is an integer number (10010234304).

Almost surely, 2368162868112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 368162868112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (400409372160).

368162868112 is an abundant number, since it is smaller than the sum of its proper divisors (432655876208).

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

368162868112 is a wasteful number, since it uses less digits than its factorization.

368162868112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 565472 (or 565466 counting only the distinct ones).

The product of its digits is 1327104, while the sum is 52.

The spelling of 368162868112 in words is "three hundred sixty-eight billion, one hundred sixty-two million, eight hundred sixty-eight thousand, one hundred twelve".

Divisors: 1 2 4 8 13 16 26 31 52 62 101 104 124 202 208 248 403 404 496 806 808 1313 1612 1616 2626 3131 3224 5252 6262 6448 10504 12524 21008 25048 40703 50096 81406 162812 325624 565319 651248 1130638 2261276 4522552 7349147 9045104 14698294 17524889 29396588 35049778 57097219 58793176 70099556 114194438 117586352 140199112 227823557 228388876 280398224 455647114 456777752 742263847 911294228 913555504 1484527694 1770013789 1822588456 2969055388 3540027578 3645176912 5938110776 7080055156 11876221552 14160110312 23010179257 28320220624 46020358514 92040717028 184081434056 368162868112