Search a number
-
+
14992532352 = 2737721093
BaseRepresentation
bin11011111011001111…
…11110001110000000
31102200212002120000000
431331213332032000
5221201042013402
610515410000000
71040346264600
oct157547761600
942625076000
1014992532352
1163a3991506
122aa4b76000
13154c133025
14a2323cc00
155cb33bc1c
hex37d9fe380

14992532352 has 384 divisors, whose sum is σ = 52156231200. Its totient is φ = 4279661568.

The previous prime is 14992532341. The next prime is 14992532353. The reversal of 14992532352 is 25323529941.

14992532352 is a `hidden beast` number, since 1 + 49 + 9 + 253 + 2 + 352 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a junction number, because it is equal to n+sod(n) for n = 14992532298 and 14992532307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14992532353) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13716318 + ... + 13717410.

Almost surely, 214992532352 is an apocalyptic number.

14992532352 is a gapful number since it is divisible by the number (12) 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 14992532352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26078115600).

14992532352 is an abundant number, since it is smaller than the sum of its proper divisors (37163698848).

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

14992532352 is an frugal number, since it uses more digits than its factorization.

14992532352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1142 (or 1105 counting only the distinct ones).

The product of its digits is 583200, while the sum is 45.

The spelling of 14992532352 in words is "fourteen billion, nine hundred ninety-two million, five hundred thirty-two thousand, three hundred fifty-two".