Search a number
-
+
10471938048 = 21132111329137
BaseRepresentation
bin10011100000010110…
…10001100000000000
31000000210210120102100
421300023101200000
5132421304004143
64451041550400
7520335001425
oct116013214000
930023716370
1010471938048
114494155060
122043045400
13cab6c8760
14714ad1d4c
154145316d3
hex2702d1800

10471938048 has 576 divisors, whose sum is σ = 37026007200. Its totient is φ = 2807562240.

The previous prime is 10471938041. The next prime is 10471938089. The reversal of 10471938048 is 84083917401.

It is a happy number.

10471938048 is a `hidden beast` number, since 10 + 471 + 93 + 80 + 4 + 8 = 666.

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

It is a super-2 number, since 2×104719380482 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10471937994 and 10471938012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10471938041) 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, 76437436 + ... + 76437572.

Almost surely, 210471938048 is an apocalyptic number.

10471938048 is a gapful number since it is divisible by the number (18) 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 10471938048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18513003600).

10471938048 is an abundant number, since it is smaller than the sum of its proper divisors (26554069152).

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

10471938048 is a wasteful number, since it uses less digits than its factorization.

10471938048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 218 (or 195 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The spelling of 10471938048 in words is "ten billion, four hundred seventy-one million, nine hundred thirty-eight thousand, forty-eight".