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42331393162564 = 2211243326832
BaseRepresentation
bin10011010000000000010111…
…01001101111110101000100
312112212211201120110210011021
421220000023221233311010
521022024143122200224
6230010435030520524
711626225246000432
oct1150001351576504
9175784646423137
1042331393162564
1112540708954900
1248b8135b06144
131a80aaa84906c
14a64bc9567d52
154d620b4761e4
hex26800ba6fd44

42331393162564 has 81 divisors (see below), whose sum is σ = 81734865613149. Its totient is φ = 19168997569920.

The previous prime is 42331393162547. The next prime is 42331393162577. The reversal of 42331393162564 is 46526139313324.

The square root of 42331393162564 is 6506258.

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

It can be written as a sum of positive squares in only one way, i.e., 4747038712900 + 37584354449664 = 2178770^2 + 6130608^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 61978613367 + ... + 61978614049.

Almost surely, 242331393162564 is an apocalyptic number.

42331393162564 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

42331393162564 is the 6506258-th square number.

It is an amenable number.

42331393162564 is a deficient number, since it is larger than the sum of its proper divisors (39403472450585).

42331393162564 is an frugal number, since it uses more digits than its factorization.

42331393162564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2258 (or 1129 counting only the distinct ones).

The product of its digits is 8398080, while the sum is 52.

The spelling of 42331393162564 in words is "forty-two trillion, three hundred thirty-one billion, three hundred ninety-three million, one hundred sixty-two thousand, five hundred sixty-four".

Divisors: 1 2 4 11 22 44 121 242 433 484 683 866 1366 1732 2732 4763 7513 9526 15026 19052 30052 52393 82643 104786 165286 187489 209572 295739 330572 374978 466489 591478 749956 932978 1182956 1865956 2062379 3253129 4124758 5131379 6506258 8249516 10262758 13012516 20525516 22686169 35784419 45372338 56445169 71568838 90744676 112890338 128054987 143137676 201989737 225780676 256109974 403979474 512219948 807958948 1408604857 2221887107 2817209714 4443774214 5634419428 8887548428 15494653427 24440758177 30989306854 48881516354 61978613708 87461556121 97763032708 174923112242 349846224484 962077117331 1924154234662 3848308469324 10582848290641 21165696581282 42331393162564