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379871973936 = 24367213294143
BaseRepresentation
bin1011000011100100010…
…00100101001000110000
31100022111221010201000000
411201302020211020300
522210434211131221
6450302154430000
736305403334200
oct5416210451060
91308457121000
10379871973936
1113711490a514
1261756432300
1329a8b589550
1414558cb2400
159d347dde26
hex5872225230

379871973936 has 1680 divisors, whose sum is σ = 1499021868960. Its totient is φ = 92177326080.

The previous prime is 379871973911. The next prime is 379871973989. The reversal of 379871973936 is 639379178973.

379871973936 is a `hidden beast` number, since 3 + 79 + 87 + 1 + 97 + 393 + 6 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 8834231931 + ... + 8834231973.

It is an arithmetic number, because the mean of its divisors is an integer number (892274922).

Almost surely, 2379871973936 is an apocalyptic number.

379871973936 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 379871973936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (749510934480).

379871973936 is an abundant number, since it is smaller than the sum of its proper divisors (1119149895024).

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

379871973936 is a wasteful number, since it uses less digits than its factorization.

379871973936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166 (or 138 counting only the distinct ones).

The product of its digits is 324060912, while the sum is 72.

The spelling of 379871973936 in words is "three hundred seventy-nine billion, eight hundred seventy-one million, nine hundred seventy-three thousand, nine hundred thirty-six".