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42911122500 = 22325413812
BaseRepresentation
bin100111111101101100…
…111100010001000100
311002202112211212211100
4213331230330101010
51200340221410000
631414010140100
73046243344261
oct477554742104
9132675755740
1042911122500
1117220234504
128396a21630
13407b218a5c
14211107a268
1511b2371a00
hex9fdb3c444

42911122500 has 135 divisors (see below), whose sum is σ = 135642059553. Its totient is φ = 11434680000.

The previous prime is 42911122493. The next prime is 42911122547. The reversal of 42911122500 is 522111924.

The square root of 42911122500 is 207150.

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

42911122500 is a `hidden beast` number, since 4 + 29 + 11 + 122 + 500 = 666.

It can be written as a sum of positive squares in 7 ways, for example, as 34589304324 + 8321818176 = 185982^2 + 91224^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 31071810 + ... + 31073190.

Almost surely, 242911122500 is an apocalyptic number.

42911122500 is the 207150-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42911122500

42911122500 is an abundant number, since it is smaller than the sum of its proper divisors (92730937053).

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

42911122500 is an equidigital number, since it uses as much as digits as its factorization.

42911122500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2792 (or 1391 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The spelling of 42911122500 in words is "forty-two billion, nine hundred eleven million, one 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 90 100 125 150 180 225 250 300 375 450 500 625 750 900 1125 1250 1381 1500 1875 2250 2500 2762 3750 4143 4500 5524 5625 6905 7500 8286 11250 12429 13810 16572 20715 22500 24858 27620 34525 41430 49716 62145 69050 82860 103575 124290 138100 172625 207150 248580 310725 345250 414300 517875 621450 690500 863125 1035750 1242900 1553625 1726250 1907161 2071500 2589375 3107250 3452500 3814322 5178750 5721483 6214500 7628644 7768125 9535805 10357500 11442966 15536250 17164449 19071610 22885932 28607415 31072500 34328898 38143220 47679025 57214830 68657796 85822245 95358050 114429660 143037075 171644490 190716100 238395125 286074150 343288980 429111225 476790250 572148300 715185375 858222450 953580500 1191975625 1430370750 1716444900 2145556125 2383951250 2860741500 3575926875 4291112250 4767902500 7151853750 8582224500 10727780625 14303707500 21455561250 42911122500