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54854353300 = 22524729693931
BaseRepresentation
bin110011000101100100…
…110000000110010100
312020120220010212110211
4303011210300012110
51344320203301200
641111051055204
73651225211165
oct630544600624
9166526125424
1054854353300
112129994158a
12a76a741504
135232695026
14292531b76c
151660b2baba
hexcc5930194

54854353300 has 72 divisors (see below), whose sum is σ = 121638464640. Its totient is φ = 21462201600.

The previous prime is 54854353291. The next prime is 54854353319. The reversal of 54854353300 is 335345845.

It is a super-2 number, since 2×548543533002 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13952335 + ... + 13956265.

It is an arithmetic number, because the mean of its divisors is an integer number (1689423120).

Almost surely, 254854353300 is an apocalyptic number.

54854353300 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 54854353300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60819232320).

54854353300 is an abundant number, since it is smaller than the sum of its proper divisors (66784111340).

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

54854353300 is a wasteful number, since it uses less digits than its factorization.

54854353300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6961 (or 6954 counting only the distinct ones).

The product of its (nonzero) digits is 432000, while the sum is 40.

The spelling of 54854353300 in words is "fifty-four billion, eight hundred fifty-four million, three hundred fifty-three thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 47 50 94 100 188 235 470 940 1175 2350 2969 3931 4700 5938 7862 11876 14845 15724 19655 29690 39310 59380 74225 78620 98275 139543 148450 184757 196550 279086 296900 369514 393100 558172 697715 739028 923785 1395430 1847570 2790860 3488575 3695140 4618925 6977150 9237850 11671139 13954300 18475700 23342278 46684556 58355695 116711390 233422780 291778475 548543533 583556950 1097087066 1167113900 2194174132 2742717665 5485435330 10970870660 13713588325 27427176650 54854353300