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2481376896 = 273319233153
BaseRepresentation
bin1001001111100110…
…1100111010000000
320101221011000012000
42103321230322000
520040213030041
61050120304000
7115330232655
oct22371547200
96357130160
102481376896
111063744209
12593012000
1330710b96b
141977a3c2c
15e7c9cbb6
hex93e6ce80

2481376896 has 512 divisors, whose sum is σ = 8460288000. Its totient is φ = 711659520.

The previous prime is 2481376883. The next prime is 2481376913. The reversal of 2481376896 is 6986731842.

2481376896 is a `hidden beast` number, since 2 + 481 + 3 + 76 + 8 + 96 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 46818406 + ... + 46818458.

It is an arithmetic number, because the mean of its divisors is an integer number (16524000).

Almost surely, 22481376896 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 2481376896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4230144000).

2481376896 is an abundant number, since it is smaller than the sum of its proper divisors (5978911104).

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

2481376896 is a wasteful number, since it uses less digits than its factorization.

2481376896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149 (or 131 counting only the distinct ones).

The product of its digits is 3483648, while the sum is 54.

The square root of 2481376896 is about 49813.4208421787. The cubic root of 2481376896 is about 1353.8303465944.

The spelling of 2481376896 in words is "two billion, four hundred eighty-one million, three hundred seventy-six thousand, eight hundred ninety-six".