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5162422500 = 2232544792
BaseRepresentation
bin1001100111011010…
…00101000011100100
3111022210000020100100
410303231011003210
541033040010000
62212132344100
7241633603314
oct46355050344
914283006310
105162422500
11220a064484
121000a75030
136436b9b91
1436d8a1444
1520333ba00
hex133b450e4

5162422500 has 135 divisors (see below), whose sum is σ = 16340715391. Its totient is φ = 1373772000.

The previous prime is 5162422481. The next prime is 5162422523. The reversal of 5162422500 is 52242615.

The square root of 5162422500 is 71850.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 2 ways, for example, as 404733924 + 4757688576 = 20118^2 + 68976^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 10777261 + ... + 10777739.

Almost surely, 25162422500 is an apocalyptic number.

5162422500 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

5162422500 is the 71850-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5162422500

5162422500 is an abundant number, since it is smaller than the sum of its proper divisors (11178292891).

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

5162422500 is an equidigital number, since it uses as much as digits as its factorization.

5162422500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 988 (or 489 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The cubic root of 5162422500 is about 1728.2948996761.

The spelling of 5162422500 in words is "five billion, one hundred sixty-two million, four hundred twenty-two thousand, five hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 125 150 180 225 250 300 375 450 479 500 625 750 900 958 1125 1250 1437 1500 1875 1916 2250 2395 2500 2874 3750 4311 4500 4790 5625 5748 7185 7500 8622 9580 11250 11975 14370 17244 21555 22500 23950 28740 35925 43110 47900 59875 71850 86220 107775 119750 143700 179625 215550 229441 239500 299375 359250 431100 458882 538875 598750 688323 718500 898125 917764 1077750 1147205 1197500 1376646 1796250 2064969 2155500 2294410 2694375 2753292 3441615 3592500 4129938 4588820 5388750 5736025 6883230 8259876 10324845 10777500 11472050 13766460 17208075 20649690 22944100 28680125 34416150 41299380 51624225 57360250 68832300 86040375 103248450 114720500 143400625 172080750 206496900 258121125 286801250 344161500 430201875 516242250 573602500 860403750 1032484500 1290605625 1720807500 2581211250 5162422500