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2378840777040 = 2435721319243103
BaseRepresentation
bin100010100111011101111…
…101011010000101010000
322102102012111121022202110
4202213131331122011100
5302433331214331130
65020454021345320
7333602614656300
oct42473575320520
98372174538673
102378840777040
11837951669862
12325050b68240
131434292aca30
14831ca813600
1541d2bec6ab0
hex229ddf5a150

2378840777040 has 720 divisors, whose sum is σ = 9750308940288. Its totient is φ = 475481954304.

The previous prime is 2378840777009. The next prime is 2378840777057. The reversal of 2378840777040 is 407770488732.

2378840777040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 55168129 + ... + 55211231.

Almost surely, 22378840777040 is an apocalyptic number.

2378840777040 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 2378840777040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4875154470144).

2378840777040 is an abundant number, since it is smaller than the sum of its proper divisors (7371468163248).

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

2378840777040 is a wasteful number, since it uses less digits than its factorization.

2378840777040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43184 (or 43152 counting only the distinct ones).

The product of its (nonzero) digits is 14751744, while the sum is 57.

The spelling of 2378840777040 in words is "two trillion, three hundred seventy-eight billion, eight hundred forty million, seven hundred seventy-seven thousand, forty".