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54010501224 = 23343138137897
BaseRepresentation
bin110010010011010001…
…101101100001101000
312011102002021202001020
4302103101231201220
51341103142014344
640451224252440
73621300454101
oct622321554150
9164362252036
1054010501224
11209a6579a79
12a574011120
1351298ca184
1428852193a8
1516119e1719
hexc9346d868

54010501224 has 64 divisors (see below), whose sum is σ = 138270095040. Its totient is φ = 17571617280.

The previous prime is 54010501213. The next prime is 54010501231. The reversal of 54010501224 is 42210501045.

It is a super-3 number, since 3×540105012243 (a number of 33 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 54010501194 and 54010501203.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1406244 + ... + 1444140.

It is an arithmetic number, because the mean of its divisors is an integer number (2160470235).

Almost surely, 254010501224 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 54010501224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69135047520).

54010501224 is an abundant number, since it is smaller than the sum of its proper divisors (84259593816).

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

54010501224 is a wasteful number, since it uses less digits than its factorization.

54010501224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39330 (or 39326 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 24.

The spelling of 54010501224 in words is "fifty-four billion, ten million, five hundred one thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 24 43 86 129 172 258 344 516 1032 1381 2762 4143 5524 8286 11048 16572 33144 37897 59383 75794 113691 118766 151588 178149 227382 237532 303176 356298 454764 475064 712596 909528 1425192 1629571 3259142 4888713 6518284 9777426 13036568 19554852 39109704 52335757 104671514 157007271 209343028 314014542 418686056 628029084 1256058168 2250437551 4500875102 6751312653 9001750204 13502625306 18003500408 27005250612 54010501224