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426242050650 = 2325213396718367
BaseRepresentation
bin1100011001111100000…
…00011000101001011010
31111202012112121122222200
412030332000120221122
523440420431110100
6523451330231030
742536450436213
oct6147600305132
91452175548880
10426242050650
1115484a586469
126a737725476
133126b2a0070
14168b74a440a
15b14a660e00
hex633e018a5a

426242050650 has 144 divisors (see below), whose sum is σ = 1233638375424. Its totient is φ = 104888960640.

The previous prime is 426242050649. The next prime is 426242050667. The reversal of 426242050650 is 56050242624.

426242050650 is a `hidden beast` number, since 4 + 2 + 62 + 42 + 0 + 506 + 50 = 666.

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 71 ways as a sum of consecutive naturals, for example, 23197767 + ... + 23216133.

Almost surely, 2426242050650 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 426242050650, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (616819187712).

426242050650 is an abundant number, since it is smaller than the sum of its proper divisors (807396324774).

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

426242050650 is a wasteful number, since it uses less digits than its factorization.

426242050650 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22365 (or 22357 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

The spelling of 426242050650 in words is "four hundred twenty-six billion, two hundred forty-two million, fifty thousand, six hundred fifty".

Divisors: 1 2 3 5 6 9 10 13 15 18 25 26 30 39 45 50 65 75 78 90 117 130 150 195 225 234 325 390 450 585 650 975 1170 1950 2925 3967 5850 7934 11901 18367 19835 23802 35703 36734 39670 51571 55101 59505 71406 91835 99175 103142 110202 119010 154713 165303 178515 183670 198350 238771 257855 275505 297525 309426 330606 357030 459175 464139 477542 515710 551010 595050 716313 773565 826515 892575 918350 928278 1193855 1289275 1377525 1432626 1547130 1653030 1785150 2148939 2320695 2387710 2578550 2755050 3581565 3867825 4132575 4297878 4641390 5969275 7163130 7735650 8265150 10744695 11603475 11938550 17907825 21489390 23206950 35815650 53723475 72861889 107446950 145723778 218585667 364309445 437171334 655757001 728618890 947204557 1092928335 1311514002 1821547225 1894409114 2185856670 2841613671 3278785005 3643094450 4736022785 5464641675 5683227342 6557570010 8524841013 9472045570 10929283350 14208068355 16393925025 17049682026 23680113925 28416136710 32787850050 42624205065 47360227850 71040341775 85248410130 142080683550 213121025325 426242050650