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5145422700 = 22352112576067
BaseRepresentation
bin1001100101011000…
…01110101101101100
3111021121000120000010
410302230032231230
541014212011300
62210324133220
7241336241235
oct46254165554
914247016003
105145422700
112200503260
12bb7237210
13640017222
1436b51808c
15201acea50
hex132b0eb6c

5145422700 has 144 divisors (see below), whose sum is σ = 16306706304. Its totient is φ = 1242316800.

The previous prime is 5145422693. The next prime is 5145422719. The reversal of 5145422700 is 72245415.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

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, 845067 + ... + 851133.

It is an arithmetic number, because the mean of its divisors is an integer number (113241016).

Almost surely, 25145422700 is an apocalyptic number.

5145422700 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 5145422700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8153353152).

5145422700 is an abundant number, since it is smaller than the sum of its proper divisors (11161283604).

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

5145422700 is a wasteful number, since it uses less digits than its factorization.

5145422700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6352 (or 6345 counting only the distinct ones).

The product of its (nonzero) digits is 11200, while the sum is 30.

The square root of 5145422700 is about 71731.6018223488. The cubic root of 5145422700 is about 1726.3957281899.

The spelling of 5145422700 in words is "five billion, one hundred forty-five million, four hundred twenty-two thousand, seven hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 25 30 33 44 50 55 60 66 75 100 110 132 150 165 220 257 275 300 330 514 550 660 771 825 1028 1100 1285 1542 1650 2570 2827 3084 3300 3855 5140 5654 6067 6425 7710 8481 11308 12134 12850 14135 15420 16962 18201 19275 24268 25700 28270 30335 33924 36402 38550 42405 56540 60670 66737 70675 72804 77100 84810 91005 121340 133474 141350 151675 169620 182010 200211 212025 266948 282700 303350 333685 364020 400422 424050 455025 606700 667370 800844 848100 910050 1001055 1334740 1559219 1668425 1820100 2002110 3118438 3336850 4004220 4677657 5005275 6236876 6673700 7796095 9355314 10010550 15592190 17151409 18710628 20021100 23388285 31184380 34302818 38980475 46776570 51454227 68605636 77960950 85757045 93553140 102908454 116941425 155921900 171514090 205816908 233882850 257271135 343028180 428785225 467765700 514542270 857570450 1029084540 1286355675 1715140900 2572711350 5145422700