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48034275980544 = 2832718169123813
BaseRepresentation
bin10101110101111110110011…
…11101001111010100000000
320022002000212021121122010200
422322333121331033110000
522243443144122334134
6250054350341325200
713055235065065350
oct1272773175172400
9208060767548120
1048034275980544
111433a2495a3857
125479445a06800
1320a57c73b33c9
14bc0c2b036b60
15584735d98499
hex2bafd9f4f500

48034275980544 has 432 divisors, whose sum is σ = 159391101227904. Its totient is φ = 13627931443200.

The previous prime is 48034275980519. The next prime is 48034275980567. The reversal of 48034275980544 is 44508957243084.

48034275980544 is a `hidden beast` number, since 4 + 8 + 0 + 3 + 4 + 2 + 7 + 5 + 9 + 80 + 544 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2017133182 + ... + 2017156994.

It is an arithmetic number, because the mean of its divisors is an integer number (368960882472).

Almost surely, 248034275980544 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48034275980544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79695550613952).

48034275980544 is an abundant number, since it is smaller than the sum of its proper divisors (111356825247360).

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

48034275980544 is a wasteful number, since it uses less digits than its factorization.

48034275980544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24714 (or 24697 counting only the distinct ones).

The product of its (nonzero) digits is 154828800, while the sum is 63.

The spelling of 48034275980544 in words is "forty-eight trillion, thirty-four billion, two hundred seventy-five million, nine hundred eighty thousand, five hundred forty-four".