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54754947700 = 225223131181729
BaseRepresentation
bin110010111111101001…
…100011001001110100
312020022222002112121221
4302333221203021310
51344114231311300
641053140320124
73645610243015
oct627751431164
9166288075557
1054754947700
11212488166a2
12a7413a3044
135217bcbc4b
14291604300c
15165704331a
hexcbfa63274

54754947700 has 72 divisors (see below), whose sum is σ = 124931378880. Its totient is φ = 20789683200.

The previous prime is 54754947691. The next prime is 54754947701. The reversal of 54754947700 is 774945745.

It is a happy number.

It is a Smith number, since the sum of its digits (52) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54754947701) 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, 210436 + ... + 392164.

It is an arithmetic number, because the mean of its divisors is an integer number (1735158040).

Almost surely, 254754947700 is an apocalyptic number.

54754947700 is a gapful number since it is divisible by the number (50) 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 54754947700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62465689440).

54754947700 is an abundant number, since it is smaller than the sum of its proper divisors (70176431180).

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

54754947700 is a wasteful number, since it uses less digits than its factorization.

54754947700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 181897 (or 181890 counting only the distinct ones).

The product of its (nonzero) digits is 4939200, while the sum is 52.

The spelling of 54754947700 in words is "fifty-four billion, seven hundred fifty-four million, nine hundred forty-seven thousand, seven hundred".

Divisors: 1 2 4 5 10 20 23 25 46 50 92 100 115 131 230 262 460 524 575 655 1150 1310 2300 2620 3013 3275 6026 6550 12052 13100 15065 30130 60260 75325 150650 181729 301300 363458 726916 908645 1817290 3634580 4179767 4543225 8359534 9086450 16719068 18172900 20898835 23806499 41797670 47612998 83595340 95225996 104494175 119032495 208988350 238064990 417976700 476129980 547549477 595162475 1095098954 1190324950 2190197908 2380649900 2737747385 5475494770 10950989540 13688736925 27377473850 54754947700