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379853922029976 = 233343208936715333
BaseRepresentation
bin101011001011110011010001…
…0000101101101000110011000
31211210221200100221022212022000
41112113212202011231012120
5344242011313014424401
63423514252135001000
7143003353203423042
oct12627464205550630
91753850327285260
10379853922029976
1110004016423a6a9
123672a299b09160
13133c50c0409b84
1469b3056894a92
152ddad13b8b186
hex15979a216d198

379853922029976 has 256 divisors, whose sum is σ = 1080701854848000. Its totient is φ = 123557321825280.

The previous prime is 379853922029963. The next prime is 379853922029977. The reversal of 379853922029976 is 679920229358973.

379853922029976 is a `hidden beast` number, since 3 + 7 + 9 + 8 + 5 + 39 + 220 + 299 + 76 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 379853922029895 and 379853922029904.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (379853922029977) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 71227059406 + ... + 71227064738.

It is an arithmetic number, because the mean of its divisors is an integer number (4221491620500).

Almost surely, 2379853922029976 is an apocalyptic number.

379853922029976 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 379853922029976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (540350927424000).

379853922029976 is an abundant number, since it is smaller than the sum of its proper divisors (700847932818024).

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

379853922029976 is a wasteful number, since it uses less digits than its factorization.

379853922029976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11151 (or 11141 counting only the distinct ones).

The product of its (nonzero) digits is 5555329920, while the sum is 81.

The spelling of 379853922029976 in words is "three hundred seventy-nine trillion, eight hundred fifty-three billion, nine hundred twenty-two million, twenty-nine thousand, nine hundred seventy-six".