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4813412500 = 225513191559
BaseRepresentation
bin1000111101110011…
…01101100010010100
3110102110021200122001
410132321231202110
534324213200000
62113344045044
7230165221411
oct43671554224
913373250561
104813412500
112050056066
12b24003784
135b92bc4a0
143393b1108
151d289b46a
hex11ee6d894

4813412500 has 144 divisors (see below), whose sum is σ = 11942985600. Its totient is φ = 1682640000.

The previous prime is 4813412467. The next prime is 4813412507. The reversal of 4813412500 is 52143184.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4813412507) 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 47 ways as a sum of consecutive naturals, for example, 3086721 + ... + 3088279.

It is an arithmetic number, because the mean of its divisors is an integer number (82937400).

Almost surely, 24813412500 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 4813412500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5971492800).

4813412500 is an abundant number, since it is smaller than the sum of its proper divisors (7129573100).

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

4813412500 is a wasteful number, since it uses less digits than its factorization.

4813412500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1620 (or 1598 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 28.

The square root of 4813412500 is about 69378.7611593058. The cubic root of 4813412500 is about 1688.4350556288.

Adding to 4813412500 its reverse (52143184), we get a palindrome (4865555684).

The spelling of 4813412500 in words is "four billion, eight hundred thirteen million, four hundred twelve thousand, five hundred".

Divisors: 1 2 4 5 10 13 19 20 25 26 38 50 52 65 76 95 100 125 130 190 247 250 260 325 380 475 494 500 625 650 950 988 1235 1250 1300 1559 1625 1900 2375 2470 2500 3118 3125 3250 4750 4940 6175 6236 6250 6500 7795 8125 9500 11875 12350 12500 15590 16250 20267 23750 24700 29621 30875 31180 32500 38975 40534 40625 47500 59242 59375 61750 77950 81068 81250 101335 118484 118750 123500 148105 154375 155900 162500 194875 202670 237500 296210 308750 385073 389750 405340 506675 592420 617500 740525 770146 771875 779500 974375 1013350 1481050 1540292 1543750 1925365 1948750 2026700 2533375 2962100 3087500 3702625 3850730 3897500 4871875 5066750 7405250 7701460 9626825 9743750 10133500 12666875 14810500 18513125 19253650 19487500 25333750 37026250 38507300 48134125 50667500 63334375 74052500 92565625 96268250 126668750 185131250 192536500 240670625 253337500 370262500 481341250 962682500 1203353125 2406706250 4813412500