Search a number
-
+
13998202596 = 2236723132
BaseRepresentation
bin11010000100101101…
…11001111011100100
31100010120002101000000
431002112321323210
5212132014440341
610233010021300
71003613521200
oct150226717344
940116071000
1013998202596
115a33690884
122867b77830
13142112ca21
1496b169b00
1556ddca8b6
hex3425b9ee4

13998202596 has 189 divisors, whose sum is σ = 42861904281. Its totient is φ = 3986708544.

The previous prime is 13998202573. The next prime is 13998202597. The reversal of 13998202596 is 69520289931.

It is a happy number.

The square root of 13998202596 is 118314.

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

It can be written as a sum of positive squares in only one way, i.e., 89302500 + 13908900096 = 9450^2 + 117936^2 .

It is a tau number, because it is divible by the number of its divisors (189).

It is a super-2 number, since 2×139982025962 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (13998202597) by changing a digit.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 44722536 + ... + 44722848.

Almost surely, 213998202596 is an apocalyptic number.

13998202596 is the 118314-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13998202596

13998202596 is an abundant number, since it is smaller than the sum of its proper divisors (28863701685).

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

13998202596 is an frugal number, since it uses more digits than its factorization.

13998202596 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 662 (or 325 counting only the distinct ones).

The product of its (nonzero) digits is 2099520, while the sum is 54.

The spelling of 13998202596 in words is "thirteen billion, nine hundred ninety-eight million, two hundred two thousand, five hundred ninety-six".