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48127148244 = 223772941661
BaseRepresentation
bin101100110100100110…
…100000000011010100
311121020001201110000000
4230310212200003110
51242031022220434
634035335451300
73322431003360
oct546446400324
9147201643000
1048127148244
111945757a88a
1293b1826b30
1346cca53116
142487ad22a0
1513ba24ab99
hexb349a00d4

48127148244 has 384 divisors, whose sum is σ = 153211161600. Its totient is φ = 12933043200.

The previous prime is 48127148239. The next prime is 48127148287. The reversal of 48127148244 is 44284172184.

48127148244 is a `hidden beast` number, since 4 + 8 + 127 + 1 + 482 + 44 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 48127148244.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 72809274 + ... + 72809934.

It is an arithmetic number, because the mean of its divisors is an integer number (398987400).

Almost surely, 248127148244 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 48127148244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76605580800).

48127148244 is an abundant number, since it is smaller than the sum of its proper divisors (105084013356).

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

48127148244 is a wasteful number, since it uses less digits than its factorization.

48127148244 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 763 (or 743 counting only the distinct ones).

The product of its digits is 458752, while the sum is 45.

The spelling of 48127148244 in words is "forty-eight billion, one hundred twenty-seven million, one hundred forty-eight thousand, two hundred forty-four".