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5162252500 = 225419191569
BaseRepresentation
bin1001100111011000…
…11011100011010100
3111022202200121011001
410303230123203110
541033014040000
62212124553044
7241632264556
oct46354334324
914282617131
105162252500
112209a58789
1210009b2784
1364365a6a2
1436d8594d6
1520330646a
hex133b1b8d4

5162252500 has 120 divisors (see below), whose sum is σ = 11966169600. Its totient is φ = 1942560000.

The previous prime is 5162252489. The next prime is 5162252507. The reversal of 5162252500 is 52522615.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5162252507) 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 39 ways as a sum of consecutive naturals, for example, 9072216 + ... + 9072784.

It is an arithmetic number, because the mean of its divisors is an integer number (99718080).

Almost surely, 25162252500 is an apocalyptic number.

5162252500 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 5162252500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5983084800).

5162252500 is an abundant number, since it is smaller than the sum of its proper divisors (6803917100).

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

5162252500 is a wasteful number, since it uses less digits than its factorization.

5162252500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 803 (or 786 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 28.

The square root of 5162252500 is about 71848.8169700796. The cubic root of 5162252500 is about 1728.2759283916.

The spelling of 5162252500 in words is "five billion, one hundred sixty-two million, two hundred fifty-two thousand, five hundred".

Divisors: 1 2 4 5 10 19 20 25 38 50 76 95 100 125 190 191 250 380 382 475 500 569 625 764 950 955 1138 1250 1900 1910 2276 2375 2500 2845 3629 3820 4750 4775 5690 7258 9500 9550 10811 11380 11875 14225 14516 18145 19100 21622 23750 23875 28450 36290 43244 47500 47750 54055 56900 71125 72580 90725 95500 108110 108679 119375 142250 181450 216220 217358 238750 270275 284500 355625 362900 434716 453625 477500 540550 543395 711250 907250 1081100 1086790 1351375 1422500 1814500 2064901 2173580 2268125 2702750 2716975 4129802 4536250 5405500 5433950 6756875 8259604 9072500 10324505 10867900 13513750 13584875 20649010 27027500 27169750 41298020 51622525 54339500 67924375 103245050 135848750 206490100 258112625 271697500 516225250 1032450500 1290563125 2581126250 5162252500