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2049481628352 = 263329314313061
BaseRepresentation
bin11101110100101110100…
…111111101101011000000
321020221001220021000101000
4131310232213331223000
5232034314244101402
64205304024012000
7301033031256144
oct35645647755300
97227056230330
102049481628352
117201a8a49614
12291253301000
1311b35aab8ac2
14712a4405224
15384a20cac1c
hex1dd2e9fdac0

2049481628352 has 448 divisors, whose sum is σ = 6450953011200. Its totient is φ = 636636672000.

The previous prime is 2049481628281. The next prime is 2049481628377. The reversal of 2049481628352 is 2538261849402.

2049481628352 is a `hidden beast` number, since 2 + 0 + 4 + 9 + 4 + 8 + 1 + 628 + 3 + 5 + 2 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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

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, 669544902 + ... + 669547962.

Almost surely, 22049481628352 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 2049481628352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3225476505600).

2049481628352 is an abundant number, since it is smaller than the sum of its proper divisors (4401471382848).

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

2049481628352 is a wasteful number, since it uses less digits than its factorization.

2049481628352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3573 (or 3557 counting only the distinct ones).

The product of its (nonzero) digits is 6635520, while the sum is 54.

The spelling of 2049481628352 in words is "two trillion, forty-nine billion, four hundred eighty-one million, six hundred twenty-eight thousand, three hundred fifty-two".