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423049635936 = 253223255724977
BaseRepresentation
bin1100010011111111011…
…10010010100001100000
31111102222001112012021200
412021333232102201200
523412401201322221
6522202445521200
742364364400534
oct6117756224140
91442861465250
10423049635936
11153461543aa4
1269ba6573200
1330b7ca88c85
14166934d1bc4
15b010260426
hex627fb92860

423049635936 has 144 divisors (see below), whose sum is σ = 1255895038944. Its totient is φ = 134827241472.

The previous prime is 423049635929. The next prime is 423049635971. The reversal of 423049635936 is 639536940324.

423049635936 is a `hidden beast` number, since 4 + 2 + 3 + 0 + 49 + 6 + 3 + 593 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 16925080 + ... + 16950056.

It is an arithmetic number, because the mean of its divisors is an integer number (8721493326).

Almost surely, 2423049635936 is an apocalyptic number.

423049635936 is a gapful number since it is divisible by the number (46) 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 423049635936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (627947519472).

423049635936 is an abundant number, since it is smaller than the sum of its proper divisors (832845403008).

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

423049635936 is a wasteful number, since it uses less digits than its factorization.

423049635936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27573 (or 27562 counting only the distinct ones).

The product of its (nonzero) digits is 12597120, while the sum is 54.

The spelling of 423049635936 in words is "four hundred twenty-three billion, forty-nine million, six hundred thirty-five thousand, nine hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 32 36 46 48 69 72 92 96 138 144 184 207 276 288 368 414 552 736 828 1104 1656 2208 2557 3312 5114 6624 7671 10228 15342 20456 23013 24977 30684 40912 46026 49954 58811 61368 74931 81824 92052 99908 117622 122736 149862 176433 184104 199816 224793 235244 245472 299724 352866 368208 399632 449586 470488 529299 574471 599448 705732 736416 799264 899172 940976 1058598 1148942 1198896 1411464 1723413 1798344 1881952 2117196 2297884 2397792 2822928 3446826 3596688 4234392 4595768 5170239 5645856 6893652 7193376 8468784 9191536 10340478 13787304 16937568 18383072 20680956 27574608 41361912 55149216 63866189 82723824 127732378 165447648 191598567 255464756 383197134 510929512 574795701 766394268 1021859024 1149591402 1468922347 1532788536 2043718048 2299182804 2937844694 3065577072 4406767041 4598365608 5875689388 6131154144 8813534082 9196731216 11751378776 13220301123 17627068164 18393462432 23502757552 26440602246 35254136328 47005515104 52881204492 70508272656 105762408984 141016545312 211524817968 423049635936