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13555944900 = 22325238812
BaseRepresentation
bin11001001111111111…
…10100110111000100
31021222201220100111100
430213333310313010
5210230310214100
610121050540100
7656633426151
oct144777646704
937881810440
1013555944900
115826a83053
122763a37630
131380614094
14928525228
1554516b400
hex327ff4dc4

13555944900 has 81 divisors (see below), whose sum is σ = 42501307303. Its totient is φ = 3613987200.

The previous prime is 13555944889. The next prime is 13555944931. The reversal of 13555944900 is 944955531.

The square root of 13555944900 is 116430.

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

13555944900 is a `hidden beast` number, since 1 + 3 + 5 + 559 + 4 + 4 + 90 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1397124 + 13554547776 = 1182^2 + 116424^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 3490960 + ... + 3494840.

Almost surely, 213555944900 is an apocalyptic number.

13555944900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

13555944900 is the 116430-th square number.

It is an amenable number.

13555944900 is an abundant number, since it is smaller than the sum of its proper divisors (28945362403).

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

13555944900 is an equidigital number, since it uses as much as digits as its factorization.

13555944900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7782 (or 3891 counting only the distinct ones).

The product of its (nonzero) digits is 486000, while the sum is 45.

The spelling of 13555944900 in words is "thirteen billion, five hundred fifty-five million, nine hundred forty-four thousand, nine hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 150 180 225 300 450 900 3881 7762 11643 15524 19405 23286 34929 38810 46572 58215 69858 77620 97025 116430 139716 174645 194050 232860 291075 349290 388100 582150 698580 873225 1164300 1746450 3492900 15062161 30124322 45186483 60248644 75310805 90372966 135559449 150621610 180745932 225932415 271118898 301243220 376554025 451864830 542237796 677797245 753108050 903729660 1129662075 1355594490 1506216100 2259324150 2711188980 3388986225 4518648300 6777972450 13555944900