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2378315888928 = 253374112797499
BaseRepresentation
bin100010100110111110101…
…011000111100100100000
322102100211220221020122000
4202212332223013210200
5302431242331421203
65020325551244000
7333553612334250
oct42467653074440
98370756836560
102378315888928
11837702353631
12324b25219600
13143374622655
148317ac1d960
1541cead944a3
hex229beac7920

2378315888928 has 384 divisors, whose sum is σ = 8128512000000. Its totient is φ = 662338529280.

The previous prime is 2378315888899. The next prime is 2378315888953. The reversal of 2378315888928 is 8298885138732.

2378315888928 is a `hidden beast` number, since 2 + 3 + 7 + 8 + 31 + 588 + 8 + 9 + 2 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

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, 317147323 + ... + 317154821.

It is an arithmetic number, because the mean of its divisors is an integer number (21168000000).

Almost surely, 22378315888928 is an apocalyptic number.

2378315888928 is a gapful number since it is divisible by the number (28) 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 2378315888928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4064256000000).

2378315888928 is an abundant number, since it is smaller than the sum of its proper divisors (5750196111072).

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

2378315888928 is a wasteful number, since it uses less digits than its factorization.

2378315888928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8845 (or 8831 counting only the distinct ones).

The product of its digits is 371589120, while the sum is 72.

The spelling of 2378315888928 in words is "two trillion, three hundred seventy-eight billion, three hundred fifteen million, eight hundred eighty-eight thousand, nine hundred twenty-eight".