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2738813112 = 2332737227647
BaseRepresentation
bin1010001100111110…
…1111100010111000
321001212120010021200
42203033233202320
521102114004422
61131434134200
7124604345610
oct24317574270
97055503250
102738813112
111185a96912
12645281360
13348555c99
141bda57a40
151106a02ac
hexa33ef8b8

2738813112 has 192 divisors, whose sum is σ = 8758264320. Its totient is φ = 756843264.

The previous prime is 2738813111. The next prime is 2738813123. The reversal of 2738813112 is 2113188372.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2738813111) 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, 4232773 + ... + 4233419.

It is an arithmetic number, because the mean of its divisors is an integer number (45615960).

Almost surely, 22738813112 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 2738813112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4379132160).

2738813112 is an abundant number, since it is smaller than the sum of its proper divisors (6019451208).

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

2738813112 is a wasteful number, since it uses less digits than its factorization.

2738813112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 930 (or 923 counting only the distinct ones).

The product of its digits is 16128, while the sum is 36.

The square root of 2738813112 is about 52333.6709203549. The cubic root of 2738813112 is about 1399.1173197900.

The spelling of 2738813112 in words is "two billion, seven hundred thirty-eight million, eight hundred thirteen thousand, one hundred twelve".