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378425088000 = 2113353531033
BaseRepresentation
bin1011000000110111110…
…01001001100000000000
31100011210002120021122000
411200123321021200000
522200003310304000
6445502430544000
736224504113641
oct5403371114000
91304702507560
10378425088000
11136542107713
1261411968000
13298ba8a2c1b
141445ca776c8
159c9c787000
hex581be49800

378425088000 has 768 divisors, whose sum is σ = 1426766140800. Its totient is φ = 98913484800.

The previous prime is 378425087983. The next prime is 378425088011. The reversal of 378425088000 is 880524873.

It is a tau number, because it is divible by the number of its divisors (768).

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

It is a congruent number.

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, 366335484 + ... + 366336516.

Almost surely, 2378425088000 is an apocalyptic number.

378425088000 is a gapful number since it is divisible by the number (30) 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 378425088000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (713383070400).

378425088000 is an abundant number, since it is smaller than the sum of its proper divisors (1048341052800).

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

378425088000 is a wasteful number, since it uses less digits than its factorization.

378425088000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1132 (or 1096 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 45.

The spelling of 378425088000 in words is "three hundred seventy-eight billion, four hundred twenty-five million, eighty-eight thousand".