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2049144300 = 22325271719253
BaseRepresentation
bin111101000100011…
…0111010111101100
312021210211022112100
41322020313113230
513144040104200
6535200135100
7101531303430
oct17210672754
95253738470
102049144300
11961763495
12492307490
132686c3128
1415620c9c0
15bed6dd00
hex7a2375ec

2049144300 has 648 divisors, whose sum is σ = 8357652576. Its totient is φ = 409743360.

The previous prime is 2049144271. The next prime is 2049144311. The reversal of 2049144300 is 34419402.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 38663074 + ... + 38663126.

It is an arithmetic number, because the mean of its divisors is an integer number (12897612).

Almost surely, 22049144300 is an apocalyptic number.

2049144300 is a gapful number since it is divisible by the number (20) 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 2049144300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4178826288).

2049144300 is an abundant number, since it is smaller than the sum of its proper divisors (6308508276).

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

2049144300 is a wasteful number, since it uses less digits than its factorization.

2049144300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 2049144300 is about 45267.4750786920. The cubic root of 2049144300 is about 1270.1573161603.

The spelling of 2049144300 in words is "two billion, forty-nine million, one hundred forty-four thousand, three hundred".