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5152720000 = 2754292221
BaseRepresentation
bin1001100110010000…
…00100010010000000
3111022002202022000111
410303020010102000
541023044020000
62211144401104
7241455253201
oct46310042200
914262668014
105152720000
11220463788a
12bb9776194
136416a085c
1436c4975a8
15202571cba
hex133204480

5152720000 has 160 divisors (see below), whose sum is σ = 13275672300. Its totient is φ = 1989120000.

The previous prime is 5152719967. The next prime is 5152720019. The reversal of 5152720000 is 272515.

It can be written as a sum of positive squares in 10 ways, for example, as 166100544 + 4986619456 = 12888^2 + 70616^2 .

It is a tau number, because it is divible by the number of its divisors (160).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2318890 + ... + 2321110.

Almost surely, 25152720000 is an apocalyptic number.

5152720000 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 5152720000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6637836150).

5152720000 is an abundant number, since it is smaller than the sum of its proper divisors (8122952300).

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

5152720000 is an equidigital number, since it uses as much as digits as its factorization.

5152720000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2284 (or 2257 counting only the distinct ones).

The product of its (nonzero) digits is 700, while the sum is 22.

The square root of 5152720000 is about 71782.4491083997. The cubic root of 5152720000 is about 1727.2114743661.

Adding to 5152720000 its reverse (272515), we get a palindrome (5152992515).

The spelling of 5152720000 in words is "five billion, one hundred fifty-two million, seven hundred twenty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 29 32 40 50 58 64 80 100 116 125 128 145 160 200 232 250 290 320 400 464 500 580 625 640 725 800 928 1000 1160 1250 1450 1600 1856 2000 2221 2320 2500 2900 3200 3625 3712 4000 4442 4640 5000 5800 7250 8000 8884 9280 10000 11105 11600 14500 16000 17768 18125 18560 20000 22210 23200 29000 35536 36250 40000 44420 46400 55525 58000 64409 71072 72500 80000 88840 92800 111050 116000 128818 142144 145000 177680 222100 232000 257636 277625 284288 290000 322045 355360 444200 464000 515272 555250 580000 644090 710720 888400 1030544 1110500 1160000 1288180 1388125 1421440 1610225 1776800 2061088 2221000 2320000 2576360 2776250 3220450 3553600 4122176 4442000 5152720 5552500 6440900 7107200 8051125 8244352 8884000 10305440 11105000 12881800 16102250 17768000 20610880 22210000 25763600 32204500 35536000 40255625 41221760 44420000 51527200 64409000 80511250 88840000 103054400 128818000 161022500 177680000 206108800 257636000 322045000 515272000 644090000 1030544000 1288180000 2576360000 5152720000