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54132234150 = 23528916372477
BaseRepresentation
bin110010011010100010…
…000101011110100110
312011201120100102020010
4302122202011132212
51341330322443100
640511253351050
73624306253431
oct623242053646
9164646312203
1054132234150
1120a592647a5
12a5a8938486
135148bacaa7
142897466818
15161c53a750
hexc9a8857a6

54132234150 has 96 divisors (see below), whose sum is σ = 135894114720. Its totient is φ = 14258590720.

The previous prime is 54132234119. The next prime is 54132234151. The reversal of 54132234150 is 5143223145.

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 (54132234151) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 21852712 + ... + 21855188.

It is an arithmetic number, because the mean of its divisors is an integer number (1415563695).

Almost surely, 254132234150 is an apocalyptic number.

54132234150 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 54132234150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67947057360).

54132234150 is an abundant number, since it is smaller than the sum of its proper divisors (81761880570).

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

54132234150 is a wasteful number, since it uses less digits than its factorization.

54132234150 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4218 (or 4213 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

Adding to 54132234150 its reverse (5143223145), we get a palindrome (59275457295).

The spelling of 54132234150 in words is "fifty-four billion, one hundred thirty-two million, two hundred thirty-four thousand, one hundred fifty".

Divisors: 1 2 3 5 6 10 15 25 30 50 75 89 150 178 267 445 534 890 1335 1637 2225 2477 2670 3274 4450 4911 4954 6675 7431 8185 9822 12385 13350 14862 16370 24555 24770 37155 40925 49110 61925 74310 81850 122775 123850 145693 185775 220453 245550 291386 371550 437079 440906 661359 728465 874158 1102265 1322718 1456930 2185395 2204530 3306795 3642325 4054849 4370790 5511325 6613590 7284650 8109698 10926975 11022650 12164547 16533975 20274245 21853950 24329094 33067950 40548490 60822735 101371225 121645470 202742450 304113675 360881561 608227350 721763122 1082644683 1804407805 2165289366 3608815610 5413223415 9022039025 10826446830 18044078050 27066117075 54132234150