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54874350150 = 23521797221849
BaseRepresentation
bin110011000110110001…
…000010001001000110
312020122021202210222220
4303012301002021012
51344340313201100
641113043433210
73651560165064
oct630661021106
9166567683886
1054874350150
11212aa15a504
12a775385806
135236876b99
142927c45034
15166277baa0
hexcc6c42246

54874350150 has 96 divisors (see below), whose sum is σ = 145579744800. Its totient is φ = 13630341120.

The previous prime is 54874350131. The next prime is 54874350151. The reversal of 54874350150 is 5105347845.

It is a happy number.

It is a super-2 number, since 2×548743501502 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54874350151) 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, 136426 + ... + 358274.

It is an arithmetic number, because the mean of its divisors is an integer number (1516455675).

Almost surely, 254874350150 is an apocalyptic number.

54874350150 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 54874350150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72789872400).

54874350150 is an abundant number, since it is smaller than the sum of its proper divisors (90705394650).

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

54874350150 is a wasteful number, since it uses less digits than its factorization.

54874350150 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 221978 (or 221973 counting only the distinct ones).

The product of its (nonzero) digits is 336000, while the sum is 42.

Adding to 54874350150 its reverse (5105347845), we get a palindrome (59979697995).

The spelling of 54874350150 in words is "fifty-four billion, eight hundred seventy-four million, three hundred fifty thousand, one hundred fifty".

Divisors: 1 2 3 5 6 10 15 17 25 30 34 50 51 75 85 97 102 150 170 194 255 291 425 485 510 582 850 970 1275 1455 1649 2425 2550 2910 3298 4850 4947 7275 8245 9894 14550 16490 24735 41225 49470 82450 123675 221849 247350 443698 665547 1109245 1331094 2218490 3327735 3771433 5546225 6655470 7542866 11092450 11314299 16638675 18857165 21519353 22628598 33277350 37714330 43038706 56571495 64558059 94285825 107596765 113142990 129116118 188571650 215193530 282857475 322790295 365829001 537983825 565714950 645580590 731658002 1075967650 1097487003 1613951475 1829145005 2194974006 3227902950 3658290010 5487435015 9145725025 10974870030 18291450050 27437175075 54874350150