Search a number
-
+
1366254623100 = 2235247963110061
BaseRepresentation
bin10011111000011011000…
…111110001100101111100
311211121112122010000212210
4103320123013301211330
5134341042140414400
62523352042100420
7200465030453013
oct23703307614574
94747478100783
101366254623100
11487475131154
121a0957aaa710
139bab65c1133
144a1ac9aba7a
1525815809950
hex13e1b1f197c

1366254623100 has 144 divisors (see below), whose sum is σ = 4037957554176. Its totient is φ = 356510304000.

The previous prime is 1366254623039. The next prime is 1366254623113. The reversal of 1366254623100 is 13264526631.

It is a super-2 number, since 2×13662546231002 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 135792070 + ... + 135802130.

It is an arithmetic number, because the mean of its divisors is an integer number (28041371904).

Almost surely, 21366254623100 is an apocalyptic number.

1366254623100 is a gapful number since it is divisible by the number (10) 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 1366254623100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2018978777088).

1366254623100 is an abundant number, since it is smaller than the sum of its proper divisors (2671702931076).

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

1366254623100 is a wasteful number, since it uses less digits than its factorization.

1366254623100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19756 (or 19749 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 39.

The spelling of 1366254623100 in words is "one trillion, three hundred sixty-six billion, two hundred fifty-four million, six hundred twenty-three thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 47 50 60 75 94 100 141 150 188 235 282 300 470 564 705 940 1175 1410 2350 2820 3525 4700 7050 9631 10061 14100 19262 20122 28893 30183 38524 40244 48155 50305 57786 60366 96310 100610 115572 120732 144465 150915 192620 201220 240775 251525 288930 301830 452657 472867 481550 503050 577860 603660 722325 754575 905314 945734 963100 1006100 1357971 1418601 1444650 1509150 1810628 1891468 2263285 2364335 2715942 2837202 2889300 3018300 4526570 4728670 5431884 5674404 6789855 7093005 9053140 9457340 11316425 11821675 13579710 14186010 22632850 23643350 27159420 28372020 33949275 35465025 45265700 47286700 67898550 70930050 96897491 135797100 141860100 193794982 290692473 387589964 484487455 581384946 968974910 1162769892 1453462365 1937949820 2422437275 2906924730 4554182077 4844874550 5813849460 7267311825 9108364154 9689749100 13662546231 14534623650 18216728308 22770910385 27325092462 29069247300 45541820770 54650184924 68312731155 91083641540 113854551925 136625462310 227709103850 273250924620 341563655775 455418207700 683127311550 1366254623100