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48437108352 = 273515110313
BaseRepresentation
bin101101000111000100…
…111001111010000000
311122000122222001100000
4231013010321322000
51243144344431402
634130211200000
73333213425223
oct550704717200
9148018861300
1048437108352
11195a6537466
1294795a6000
13474c02a579
1424b6d395ba
1513d7575c1c
hexb47139e80

48437108352 has 192 divisors, whose sum is σ = 145516512960. Its totient is φ = 16037222400.

The previous prime is 48437108351. The next prime is 48437108381. The reversal of 48437108352 is 25380173484.

48437108352 is a `hidden beast` number, since 484 + 37 + 10 + 83 + 52 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a junction number, because it is equal to n+sod(n) for n = 48437108298 and 48437108307.

It is not an unprimeable number, because it can be changed into a prime (48437108351) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4691548 + ... + 4701860.

It is an arithmetic number, because the mean of its divisors is an integer number (757898505).

Almost surely, 248437108352 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 48437108352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72758256480).

48437108352 is an abundant number, since it is smaller than the sum of its proper divisors (97079404608).

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

48437108352 is a wasteful number, since it uses less digits than its factorization.

48437108352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10493 (or 10469 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 48437108352 in words is "forty-eight billion, four hundred thirty-seven million, one hundred eight thousand, three hundred fifty-two".