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423264462324 = 2231140912496277
BaseRepresentation
bin1100010100011001000…
…01110010010111110100
31111110112000202111200120
412022030201302113310
523413321200243244
6522240042211540
742402613365534
oct6121441622764
91443460674616
10423264462324
11153561833270
126a0464b3bb0
1330bb5434892
14166b3c534c4
15b024047819
hex628c8725f4

423264462324 has 96 divisors (see below), whose sum is σ = 1081071600000. Its totient is φ = 127825551360.

The previous prime is 423264462319. The next prime is 423264462377.

423264462324 is nontrivially palindromic in base 10.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 67427874 + ... + 67434150.

It is an arithmetic number, because the mean of its divisors is an integer number (11261162500).

Almost surely, 2423264462324 is an apocalyptic number.

423264462324 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

423264462324 is an abundant number, since it is smaller than the sum of its proper divisors (657807137676).

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

423264462324 is a wasteful number, since it uses less digits than its factorization.

423264462324 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7953 (or 7951 counting only the distinct ones).

The product of its digits is 1327104, while the sum is 42.

It can be divided in two parts, 423264 and 462324, that added together give a palindrome (885588).

The spelling of 423264462324 in words is "four hundred twenty-three billion, two hundred sixty-four million, four hundred sixty-two thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 409 818 1227 1249 1636 2454 2498 3747 4499 4908 4996 6277 7494 8998 12554 13497 13739 14988 17996 18831 25108 26994 27478 37662 41217 53988 54956 69047 75324 82434 138094 164868 207141 276188 414282 510841 828564 1021682 1532523 2043364 2567293 3065046 5134586 5619251 6130092 7701879 7839973 10269172 11238502 15403758 15679946 16857753 22477004 23519919 28240223 30807516 31359892 33715506 47039838 56480446 67431012 84720669 86239703 94079676 112960892 169441338 172479406 258719109 338882676 344958812 517438218 1034876436 3206548957 6413097914 9619646871 12826195828 19239293742 35272038527 38478587484 70544077054 105816115581 141088154108 211632231162 423264462324