Search a number
-
+
54541130308 = 22721795572791
BaseRepresentation
bin110010110010111001…
…111001101001000100
312012210001202111022021
4302302321321221010
51343200012132213
641020021412524
73640402646500
oct626271715104
9165701674267
1054541130308
1121149056505
12a6a186a144
1351b2817692
1428d58a5300
1516433a9d8d
hexcb2e79a44

54541130308 has 72 divisors (see below), whose sum is σ = 111890963520. Its totient is φ = 23194140480.

The previous prime is 54541130251. The next prime is 54541130309. The reversal of 54541130308 is 80303114545.

54541130308 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (54541130309) 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, 19540393 + ... + 19543183.

It is an arithmetic number, because the mean of its divisors is an integer number (1554041160).

Almost surely, 254541130308 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 54541130308, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55945481760).

54541130308 is an abundant number, since it is smaller than the sum of its proper divisors (57349833212).

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

54541130308 is a wasteful number, since it uses less digits than its factorization.

54541130308 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3545 (or 3536 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 34.

The spelling of 54541130308 in words is "fifty-four billion, five hundred forty-one million, one hundred thirty thousand, three hundred eight".

Divisors: 1 2 4 7 14 28 49 98 179 196 358 557 716 1114 1253 2228 2506 2791 3899 5012 5582 7798 8771 11164 15596 17542 19537 27293 35084 39074 54586 78148 99703 109172 136759 199406 273518 398812 499589 547036 697921 999178 1395842 1554587 1998356 2791684 3109174 3497123 4885447 6218348 6994246 9770894 10882109 13988492 19541788 21764218 24479861 43528436 48959722 76174763 97919444 152349526 278271073 304699052 556542146 1113084292 1947897511 3895795022 7791590044 13635282577 27270565154 54541130308