Search a number
-
+
13726989360 = 2432572607641
BaseRepresentation
bin11001100100011000…
…10011110000110000
31022102122202022101100
430302030103300300
5211103102124420
610150041004400
7664111325100
oct146214236060
938378668340
1013726989360
115904589307
1227b1183700
1313a9ba0916
1494312b200
155551a6190
hex332313c30

13726989360 has 360 divisors, whose sum is σ = 53798449536. Its totient is φ = 3127541760.

The previous prime is 13726989313. The next prime is 13726989407. The reversal of 13726989360 is 6398962731.

13726989360 is a `hidden beast` number, since 13 + 7 + 269 + 8 + 9 + 360 = 666.

It is an interprime number because it is at equal distance from previous prime (13726989313) and next prime (13726989407).

It is a tau number, because it is divible by the number of its divisors (360).

It is a junction number, because it is equal to n+sod(n) for n = 13726989297 and 13726989306.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 21414640 + ... + 21415280.

Almost surely, 213726989360 is an apocalyptic number.

13726989360 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 13726989360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26899224768).

13726989360 is an abundant number, since it is smaller than the sum of its proper divisors (40071460176).

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

13726989360 is a wasteful number, since it uses less digits than its factorization.

13726989360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1281 (or 1265 counting only the distinct ones).

The product of its (nonzero) digits is 2939328, while the sum is 54.

The spelling of 13726989360 in words is "thirteen billion, seven hundred twenty-six million, nine hundred eighty-nine thousand, three hundred sixty".