Search a number
-
+
49077273600 = 21033521937101
BaseRepresentation
bin101101101101001110…
…111100010000000000
311200200021112210222000
4231231032330100000
51301002240223400
634313520144000
73355115641215
oct555516742000
9150607483860
1049077273600
11198a4929053
129617a68000
134821849c84
142537d79b0c
151423879600
hexb6d3bc400

49077273600 has 1056 divisors, whose sum is σ = 196767465600. Its totient is φ = 11943936000.

The previous prime is 49077273571. The next prime is 49077273601. The reversal of 49077273600 is 637277094.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (49077273601) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 485913550 + ... + 485913650.

Almost surely, 249077273600 is an apocalyptic number.

49077273600 is a gapful number since it is divisible by the number (40) 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 49077273600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98383732800).

49077273600 is an abundant number, since it is smaller than the sum of its proper divisors (147690192000).

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

49077273600 is a wasteful number, since it uses less digits than its factorization.

49077273600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 196 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 444528, while the sum is 45.

The spelling of 49077273600 in words is "forty-nine billion, seventy-seven million, two hundred seventy-three thousand, six hundred".