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48000927744 = 21132711311091
BaseRepresentation
bin101100101101000101…
…000000100000000000
311120220021012210000200
4230231011000200000
51241301214141434
634015030245200
73316336103520
oct545505004000
9146807183020
1048000927744
11193a22aa520
1293774b6800
1346ac85ba33
142475037680
1513ae117199
hexb2d140800

48000927744 has 576 divisors, whose sum is σ = 178583408640. Its totient is φ = 12054528000.

The previous prime is 48000927743. The next prime is 48000927769. The reversal of 48000927744 is 44772900084.

It is a tau number, because it is divible by the number of its divisors (576).

It is a self number, because there is not a number n which added to its sum of digits gives 48000927744.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48000927743) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 43996639 + ... + 43997729.

It is an arithmetic number, because the mean of its divisors is an integer number (310040640).

Almost surely, 248000927744 is an apocalyptic number.

48000927744 is a gapful number since it is divisible by the number (44) 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 48000927744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89291704320).

48000927744 is an abundant number, since it is smaller than the sum of its proper divisors (130582480896).

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

48000927744 is a wasteful number, since it uses less digits than its factorization.

48000927744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1168 (or 1145 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

The spelling of 48000927744 in words is "forty-eight billion, nine hundred twenty-seven thousand, seven hundred forty-four".