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2796381331920 = 2434511223295347
BaseRepresentation
bin101000101100010101010…
…100001110000111010000
3100220022221121211012120000
4220230111110032013100
5331303442110110140
65540350112450000
7406013636064261
oct50542524160720
910808847735500
102796381331920
11988a363a6700
12391b5a549900
1317390b8c5817
14994ba3a6968
154cb18771a30
hex28b1550e1d0

2796381331920 has 1200 divisors, whose sum is σ = 11525873546880. Its totient is φ = 625959290880.

The previous prime is 2796381331883. The next prime is 2796381331999. The reversal of 2796381331920 is 291331836972.

2796381331920 is a `hidden beast` number, since 2 + 79 + 6 + 381 + 3 + 3 + 192 + 0 = 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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 522978687 + ... + 522984033.

Almost surely, 22796381331920 is an apocalyptic number.

2796381331920 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 2796381331920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5762936773440).

2796381331920 is an abundant number, since it is smaller than the sum of its proper divisors (8729492214960).

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

2796381331920 is a wasteful number, since it uses less digits than its factorization.

2796381331920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5446 (or 5420 counting only the distinct ones).

The product of its (nonzero) digits is 2939328, while the sum is 54.

The spelling of 2796381331920 in words is "two trillion, seven hundred ninety-six billion, three hundred eighty-one million, three hundred thirty-one thousand, nine hundred twenty".