Search a number
-
+
5150504480 = 255119912953
BaseRepresentation
bin1001100101111111…
…00111011000100000
3111021221120201220012
410302333213120200
541022012120410
62211025104052
7241430365022
oct46277473040
914257521805
105150504480
112203364280
12bb8a88028
136410a62b4
1436c07c012
15202285605
hex132fe7620

5150504480 has 96 divisors (see below), whose sum is σ = 13292149248. Its totient is φ = 1870387200.

The previous prime is 5150504459. The next prime is 5150504497. The reversal of 5150504480 is 844050515.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 1742684 + ... + 1745636.

It is an arithmetic number, because the mean of its divisors is an integer number (138459888).

Almost surely, 25150504480 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5150504480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6646074624).

5150504480 is an abundant number, since it is smaller than the sum of its proper divisors (8141644768).

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

5150504480 is a wasteful number, since it uses less digits than its factorization.

5150504480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3970 (or 3962 counting only the distinct ones).

The product of its (nonzero) digits is 16000, while the sum is 32.

The square root of 5150504480 is about 71767.0152646743. The cubic root of 5150504480 is about 1726.9638886153.

Adding to 5150504480 its reverse (844050515), we get a palindrome (5994554995).

The spelling of 5150504480 in words is "five billion, one hundred fifty million, five hundred four thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 80 88 110 160 176 220 352 440 880 991 1760 1982 2953 3964 4955 5906 7928 9910 10901 11812 14765 15856 19820 21802 23624 29530 31712 32483 39640 43604 47248 54505 59060 64966 79280 87208 94496 109010 118120 129932 158560 162415 174416 218020 236240 259864 324830 348832 436040 472480 519728 649660 872080 1039456 1299320 1744160 2598640 2926423 5197280 5852846 11705692 14632115 23411384 29264230 32190653 46822768 58528460 64381306 93645536 117056920 128762612 160953265 234113840 257525224 321906530 468227680 515050448 643813060 1030100896 1287626120 2575252240 5150504480