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2078374881000 = 233531131265537
BaseRepresentation
bin11110001111101000110…
…010111110011011101000
321100200122112000022210110
4132033220302332123220
5233023002432143000
64230443042414320
7303105032000265
oct36175062763350
97320575008713
102078374881000
11731485489a10
122969776613a0
13120cb3aa9cc2
147284587626c
15390e3989850
hex1e3e8cbe6e8

2078374881000 has 384 divisors, whose sum is σ = 7309699562880. Its totient is φ = 487587840000.

The previous prime is 2078374880999. The next prime is 2078374881007. The reversal of 2078374881000 is 1884738702.

It is a happy number.

It is a super-2 number, since 2×20783748810002 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2078374881007) 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, 31680232 + ... + 31745768.

It is an arithmetic number, because the mean of its divisors is an integer number (19035675945).

Almost surely, 22078374881000 is an apocalyptic number.

2078374881000 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 2078374881000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3654849781440).

2078374881000 is an abundant number, since it is smaller than the sum of its proper divisors (5231324681880).

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

2078374881000 is a wasteful number, since it uses less digits than its factorization.

2078374881000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65634 (or 65589 counting only the distinct ones).

The product of its (nonzero) digits is 602112, while the sum is 48.

The spelling of 2078374881000 in words is "two trillion, seventy-eight billion, three hundred seventy-four million, eight hundred eighty-one thousand".