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379033276317696 = 216357111323159
BaseRepresentation
bin101011000101110101000111…
…1110010110000000000000000
31211201001020010201122021100000
41112023222033302300000000
5344140040122214131241
63422045252221200000
7142560151634106030
oct12613521762600000
91751036121567300
10379033276317696
11aa854123116780
1236617231400000
13133658b9073400
1469854465a18c0
152dc47d30d0eb6
hex158ba8fcb0000

379033276317696 has 4896 divisors, whose sum is σ = 1609279755632640. Its totient is φ = 86454986342400.

The previous prime is 379033276317691. The next prime is 379033276317713. The reversal of 379033276317696 is 696713672330973.

379033276317696 is a `hidden beast` number, since 3 + 7 + 9 + 0 + 33 + 276 + 317 + 6 + 9 + 6 = 666.

It is a super-2 number, since 2×3790332763176962 (a number of 30 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (379033276317691) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 6424292818915 + ... + 6424292818973.

Almost surely, 2379033276317696 is an apocalyptic number.

379033276317696 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 379033276317696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (804639877816320).

379033276317696 is an abundant number, since it is smaller than the sum of its proper divisors (1230246479314944).

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

379033276317696 is an equidigital number, since it uses as much as digits as its factorization.

379033276317696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 972182736, while the sum is 72.

The spelling of 379033276317696 in words is "three hundred seventy-nine trillion, thirty-three billion, two hundred seventy-six million, three hundred seventeen thousand, six hundred ninety-six".