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48002566944 = 2532340035431
BaseRepresentation
bin101100101101001011…
…010000101100100000
311120220101022001120210
4230231023100230200
51241302124120234
634015125334120
73316356041523
oct545513205440
9146811261523
1048002566944
11193a321a032
129377b67340
1346accb3b87
142475342bba
1513ae33cbe9
hexb2d2d0b20

48002566944 has 96 divisors (see below), whose sum is σ = 131542354944. Its totient is φ = 15298525440.

The previous prime is 48002566943. The next prime is 48002567009. The reversal of 48002566944 is 44966520084.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 48002566893 and 48002566902.

It is not an unprimeable number, because it can be changed into a prime (48002566943) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8835909 + ... + 8841339.

It is an arithmetic number, because the mean of its divisors is an integer number (1370232864).

Almost surely, 248002566944 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 48002566944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65771177472).

48002566944 is an abundant number, since it is smaller than the sum of its proper divisors (83539788000).

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

48002566944 is a wasteful number, since it uses less digits than its factorization.

48002566944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9470 (or 9462 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 48.

The spelling of 48002566944 in words is "forty-eight billion, two million, five hundred sixty-six thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 69 92 96 138 184 276 368 552 736 1104 2208 4003 5431 8006 10862 12009 16012 16293 21724 24018 32024 32586 43448 48036 64048 65172 86896 92069 96072 124913 128096 130344 173792 184138 192144 249826 260688 276207 368276 374739 384288 499652 521376 552414 736552 749478 999304 1104828 1473104 1498956 1998608 2209656 2946208 2997912 3997216 4419312 5995824 8838624 11991648 21740293 43480586 65220879 86961172 130441758 173922344 260883516 347844688 500026739 521767032 695689376 1000053478 1043534064 1500080217 2000106956 2087068128 3000160434 4000213912 6000320868 8000427824 12000641736 16000855648 24001283472 48002566944