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379990258560 = 2736511253127
BaseRepresentation
bin1011000011110010010…
…11110011001110000000
31100022211011201012000000
411201321023303032000
522211210001233220
6450322022000000
736311340622263
oct5417113631600
91308734635000
10379990258560
1113717565a500
1261789b76000
1329aa9c32753
141456a8a2cda
159d3eda6390
hex58792f3380

379990258560 has 1344 divisors, whose sum is σ = 1537329507840. Its totient is φ = 89669099520.

The previous prime is 379990258493. The next prime is 379990258591. The reversal of 379990258560 is 65852099973.

379990258560 is a `hidden beast` number, since 379 + 9 + 9 + 0 + 258 + 5 + 6 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 2992049217 + ... + 2992049343.

It is an arithmetic number, because the mean of its divisors is an integer number (1143846360).

Almost surely, 2379990258560 is an apocalyptic number.

379990258560 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 379990258560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (768664753920).

379990258560 is an abundant number, since it is smaller than the sum of its proper divisors (1157339249280).

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

379990258560 is a wasteful number, since it uses less digits than its factorization.

379990258560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 239 (or 201 counting only the distinct ones).

The product of its (nonzero) digits is 36741600, while the sum is 63.

The spelling of 379990258560 in words is "three hundred seventy-nine billion, nine hundred ninety million, two hundred fifty-eight thousand, five hundred sixty".