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378280452096 = 2133210747951
BaseRepresentation
bin1011000000100110100…
…01011010000000000000
31100011102000102000110200
411200103101122000000
522144204243431341
6445440222525200
736221066534631
oct5402321320000
91304360360420
10378280452096
111364784a9608
1261391436800
1329896931751
1414447787888
159c8ec16db6
hex581345a000

378280452096 has 168 divisors, whose sum is σ = 1102979052864. Its totient is φ = 124912435200.

The previous prime is 378280452091. The next prime is 378280452127. The reversal of 378280452096 is 690254082873.

378280452096 is a `hidden beast` number, since 3 + 7 + 8 + 28 + 0 + 4 + 520 + 96 = 666.

It is a super-2 number, since 2×3782804520962 (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (378280452091) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7864921 + ... + 7912871.

Almost surely, 2378280452096 is an apocalyptic number.

378280452096 is a gapful number since it is divisible by the number (36) 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 378280452096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (551489526432).

378280452096 is an abundant number, since it is smaller than the sum of its proper divisors (724698600768).

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

378280452096 is a wasteful number, since it uses less digits than its factorization.

378280452096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48090 (or 48063 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 378280452096 in words is "three hundred seventy-eight billion, two hundred eighty million, four hundred fifty-two thousand, ninety-six".