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378884278080 = 263757117989
BaseRepresentation
bin1011000001101110100…
…00110100011101000000
31100012222002121120000000
411200313100310131000
522201423333344310
6450020153000000
736242051140350
oct5406720643500
91305862546000
10378884278080
1113675832aa50
126151b6b3000
1329961a69929
14144a3a48b60
159cc7c3d4c0
hex5837434740

378884278080 has 1792 divisors, whose sum is σ = 1727557632000. Its totient is φ = 76859228160.

The previous prime is 378884278061. The next prime is 378884278099. The reversal of 378884278080 is 80872488873.

378884278080 is a `hidden beast` number, since 378 + 88 + 42 + 78 + 0 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (378884278061) and next prime (378884278099).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 378884277999 and 378884278017.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 4257126676 + ... + 4257126764.

Almost surely, 2378884278080 is an apocalyptic number.

378884278080 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 378884278080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (863778816000).

378884278080 is an abundant number, since it is smaller than the sum of its proper divisors (1348673353920).

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

378884278080 is an equidigital number, since it uses as much as digits as its factorization.

378884278080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 38535168, while the sum is 63.

The spelling of 378884278080 in words is "three hundred seventy-eight billion, eight hundred eighty-four million, two hundred seventy-eight thousand, eighty".