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54511121550 = 23524127132707
BaseRepresentation
bin110010110001000111…
…011011010010001110
312012200222021220000210
4302301013123102032
51343114321342200
641013030303250
73636556613424
oct626107332216
9165628256023
1054511121550
112113311a486
12a6937b7b26
1351a953b712
1428d18d3114
15164092d650
hexcb11db48e

54511121550 has 96 divisors (see below), whose sum is σ = 139000103424. Its totient is φ = 14128992000.

The previous prime is 54511121527. The next prime is 54511121551. The reversal of 54511121550 is 5512111545.

54511121550 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54511121551) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1650297 + ... + 1683003.

It is an arithmetic number, because the mean of its divisors is an integer number (1447917744).

Almost surely, 254511121550 is an apocalyptic number.

54511121550 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 54511121550, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69500051712).

54511121550 is an abundant number, since it is smaller than the sum of its proper divisors (84488981874).

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

54511121550 is a wasteful number, since it uses less digits than its factorization.

54511121550 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33034 (or 33029 counting only the distinct ones).

The product of its (nonzero) digits is 5000, while the sum is 30.

The spelling of 54511121550 in words is "fifty-four billion, five hundred eleven million, one hundred twenty-one thousand, five hundred fifty".

Divisors: 1 2 3 5 6 10 15 25 30 41 50 75 82 123 150 205 246 271 410 542 615 813 1025 1230 1355 1626 2050 2710 3075 4065 6150 6775 8130 11111 13550 20325 22222 32707 33333 40650 55555 65414 66666 98121 111110 163535 166665 196242 277775 327070 333330 490605 555550 817675 833325 981210 1340987 1635350 1666650 2453025 2681974 4022961 4906050 6704935 8045922 8863597 13409870 17727194 20114805 26590791 33524675 40229610 44317985 53181582 67049350 88635970 100574025 132953955 201148050 221589925 265907910 363407477 443179850 664769775 726814954 1090222431 1329539550 1817037385 2180444862 3634074770 5451112155 9085186925 10902224310 18170373850 27255560775 54511121550