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2378010923820 = 2233572109824513
BaseRepresentation
bin100010100110101100011…
…111110001001100101100
322102100001200002102011000
4202212230133301030230
5302430131244030240
65020235415000300
7333543220225200
oct42465437611454
98370050072130
102378010923820
11837566198854
12324a5b069090
131433263a691c
148314c516b00
1541cce204430
hex229ac7f132c

2378010923820 has 288 divisors, whose sum is σ = 8685100670400. Its totient is φ = 538558046208.

The previous prime is 2378010923819. The next prime is 2378010923861. The reversal of 2378010923820 is 283290108732.

2378010923820 is a `hidden beast` number, since 237 + 80 + 109 + 238 + 2 + 0 = 666.

2378010923820 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×23780109238203 (a number of 38 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2471884 + ... + 3296396.

It is an arithmetic number, because the mean of its divisors is an integer number (30156599550).

Almost surely, 22378010923820 is an apocalyptic number.

2378010923820 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 2378010923820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4342550335200).

2378010923820 is an abundant number, since it is smaller than the sum of its proper divisors (6307089746580).

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

2378010923820 is a wasteful number, since it uses less digits than its factorization.

2378010923820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 824654 (or 824639 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 2378010923820 in words is "two trillion, three hundred seventy-eight billion, ten million, nine hundred twenty-three thousand, eight hundred twenty".