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379376033760 = 253251725871553
BaseRepresentation
bin1011000010101001001…
…00101101111111100000
31100021020100221022222100
411201110210231333200
522203430231040020
6450141041010400
736260202036363
oct5412444557740
91307210838870
10379376033760
1113698a9762a9
1261638323a00
1329a0c8c6319
141450d0960da
159d05ec8a90
hex585492dfe0

379376033760 has 432 divisors, whose sum is σ = 1378484439696. Its totient is φ = 94992531456.

The previous prime is 379376033741. The next prime is 379376033789. The reversal of 379376033760 is 67330673973.

It is a junction number, because it is equal to n+sod(n) for n = 379376033697 and 379376033706.

It is a congruent number.

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 244285144 + ... + 244286696.

It is an arithmetic number, because the mean of its divisors is an integer number (3190936203).

Almost surely, 2379376033760 is an apocalyptic number.

379376033760 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 379376033760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (689242219848).

379376033760 is an abundant number, since it is smaller than the sum of its proper divisors (999108405936).

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

379376033760 is a wasteful number, since it uses less digits than its factorization.

379376033760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2195 (or 2167 counting only the distinct ones).

The product of its (nonzero) digits is 9001692, while the sum is 54.

The spelling of 379376033760 in words is "three hundred seventy-nine billion, three hundred seventy-six million, thirty-three thousand, seven hundred sixty".