Search a number
-
+
13996563840 = 2732572101491
BaseRepresentation
bin11010000100100001…
…01001110110000000
31100010110000010001100
431002100221312000
5212131110020330
610232510534400
71003563554400
oct150220516600
940113003040
1013996563840
115a32771636
122867507400
1314209a7b4c
1496ac60800
1556dba5060
hex342429d80

13996563840 has 576 divisors, whose sum is σ = 56895106320. Its totient is φ = 3161088000.

The previous prime is 13996563839. The next prime is 13996563851. The reversal of 13996563840 is 4836569931.

13996563840 is a `hidden beast` number, since 1 + 39 + 9 + 6 + 563 + 8 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a congruent number.

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, 28505995 + ... + 28506485.

Almost surely, 213996563840 is an apocalyptic number.

13996563840 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 13996563840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28447553160).

13996563840 is an abundant number, since it is smaller than the sum of its proper divisors (42898542480).

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

13996563840 is a wasteful number, since it uses less digits than its factorization.

13996563840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 631 (or 609 counting only the distinct ones).

The product of its (nonzero) digits is 4199040, while the sum is 54.

The spelling of 13996563840 in words is "thirteen billion, nine hundred ninety-six million, five hundred sixty-three thousand, eight hundred forty".