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136685484100 = 225211233612
BaseRepresentation
bin111111101001100010…
…1101111100001000100
3111001210211212000201001
41333103011233201010
54214412440442400
6142443100143044
712606123305434
oct1772305574104
9431724760631
10136685484100
1152a71435300
12225a7837a84
13cb73c99799
1468893542c4
15384ec52a6a
hex1fd316f844

136685484100 has 81 divisors (see below), whose sum is σ = 326120151063. Its totient is φ = 49689024000.

The previous prime is 136685484097. The next prime is 136685484109. The reversal of 136685484100 is 1484586631.

The square root of 136685484100 is 369710.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 1961249796 + 134724234304 = 44286^2 + 367048^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (136685484109) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 40666420 + ... + 40669780.

Almost surely, 2136685484100 is an apocalyptic number.

136685484100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

136685484100 is the 369710-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 136685484100

136685484100 is an abundant number, since it is smaller than the sum of its proper divisors (189434666963).

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

136685484100 is an equidigital number, since it uses as much as digits as its factorization.

136685484100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6758 (or 3379 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 46.

The spelling of 136685484100 in words is "one hundred thirty-six billion, six hundred eighty-five million, four hundred eighty-four thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 121 220 242 275 484 550 605 1100 1210 2420 3025 3361 6050 6722 12100 13444 16805 33610 36971 67220 73942 84025 147884 168050 184855 336100 369710 406681 739420 813362 924275 1626724 1848550 2033405 3697100 4066810 8133620 10167025 11296321 20334050 22592642 40668100 45185284 56481605 112963210 124259531 225926420 248519062 282408025 497038124 564816050 621297655 1129632100 1242595310 1366854841 2485190620 2733709682 3106488275 5467419364 6212976550 6834274205 12425953100 13668548410 27337096820 34171371025 68342742050 136685484100