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5051605200 = 243526169011
BaseRepresentation
bin1001011010001100…
…10110000011010000
3111001001111010120220
410231012112003100
540321202331300
62153133233040
7236116635645
oct45506260320
914031433526
105051605200
112162554834
12b8b932780
13626759805
1435cc95dcc
151e874bda0
hex12d1960d0

5051605200 has 120 divisors (see below), whose sum is σ = 16447491936. Its totient is φ = 1324992000.

The previous prime is 5051605129. The next prime is 5051605243. The reversal of 5051605200 is 25061505.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 38695 + ... + 107705.

Almost surely, 25051605200 is an apocalyptic number.

5051605200 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 5051605200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8223745968).

5051605200 is an abundant number, since it is smaller than the sum of its proper divisors (11395886736).

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

5051605200 is a wasteful number, since it uses less digits than its factorization.

5051605200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69093 (or 69082 counting only the distinct ones).

The product of its (nonzero) digits is 1500, while the sum is 24.

The square root of 5051605200 is about 71074.6452681967. The cubic root of 5051605200 is about 1715.8387327325.

Adding to 5051605200 its reverse (25061505), we get a palindrome (5076666705).

The spelling of 5051605200 in words is "five billion, fifty-one million, six hundred five thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 61 75 80 100 120 122 150 183 200 240 244 300 305 366 400 488 600 610 732 915 976 1200 1220 1464 1525 1830 2440 2928 3050 3660 4575 4880 6100 7320 9150 12200 14640 18300 24400 36600 69011 73200 138022 207033 276044 345055 414066 552088 690110 828132 1035165 1104176 1380220 1656264 1725275 2070330 2760440 3312528 3450550 4140660 4209671 5175825 5520880 6901100 8281320 8419342 10351650 12629013 13802200 16562640 16838684 20703300 21048355 25258026 27604400 33677368 41406600 42096710 50516052 63145065 67354736 82813200 84193420 101032104 105241775 126290130 168386840 202064208 210483550 252580260 315725325 336773680 420967100 505160520 631450650 841934200 1010321040 1262901300 1683868400 2525802600 5051605200