Search a number
-
+
13898856198384 = 243557712914799
BaseRepresentation
bin1100101001000001010001…
…1000101111000011110000
31211012201101012000110200000
43022100110120233003300
53310204324141322014
645321014004230000
72633105420255343
oct312202430570360
954181335013600
1013898856198384
114479520a884a3
12168583699b300
1379a86c498821
143609cb54a45a
1519181b579509
hexca41462f0f0

13898856198384 has 240 divisors, whose sum is σ = 40447777843200. Its totient is φ = 4620377272320.

The previous prime is 13898856198361. The next prime is 13898856198449. The reversal of 13898856198384 is 48389165889831.

13898856198384 is a `hidden beast` number, since 1 + 3 + 8 + 98 + 8 + 5 + 61 + 98 + 384 = 666.

It is a super-2 number, since 2×138988561983842 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2896196017 + ... + 2896200815.

It is an arithmetic number, because the mean of its divisors is an integer number (168532407680).

Almost surely, 213898856198384 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13898856198384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20223888921600).

13898856198384 is an abundant number, since it is smaller than the sum of its proper divisors (26548921644816).

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

13898856198384 is a wasteful number, since it uses less digits than its factorization.

13898856198384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6690 (or 6672 counting only the distinct ones).

The product of its digits is 2866544640, while the sum is 81.

The spelling of 13898856198384 in words is "thirteen trillion, eight hundred ninety-eight billion, eight hundred fifty-six million, one hundred ninety-eight thousand, three hundred eighty-four".