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42706630304 = 2513571717957
BaseRepresentation
bin100111110001100000…
…110111011010100000
311002020022001121021022
4213301200313122200
51144430344132204
631341423145012
73041211240152
oct476140673240
9132208047238
1042706630304
1117125863498
12833a445168
134047a4ab60
1420d1c48ad2
15119e42b5be
hex9f18376a0

42706630304 has 48 divisors (see below), whose sum is σ = 90567150408. Its totient is φ = 19706207232.

The previous prime is 42706630243. The next prime is 42706630339. The reversal of 42706630304 is 40303660724.

It can be written as a sum of positive squares in 4 ways, for example, as 41607840400 + 1098789904 = 203980^2 + 33148^2 .

It is a super-2 number, since 2×427066303042 (a number of 22 digits) contains 22 as substring.

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 7 ways as a sum of consecutive naturals, for example, 2369294 + ... + 2387250.

Almost surely, 242706630304 is an apocalyptic number.

It is an amenable number.

42706630304 is an abundant number, since it is smaller than the sum of its proper divisors (47860520104).

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

42706630304 is a wasteful number, since it uses less digits than its factorization.

42706630304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23697 (or 23689 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 35.

The spelling of 42706630304 in words is "forty-two billion, seven hundred six million, six hundred thirty thousand, three hundred four".

Divisors: 1 2 4 8 13 16 26 32 52 104 208 416 5717 11434 17957 22868 35914 45736 71828 74321 91472 143656 148642 182944 233441 287312 297284 466882 574624 594568 933764 1189136 1867528 2378272 3735056 7470112 102660169 205320338 410640676 821281352 1334582197 1642562704 2669164394 3285125408 5338328788 10676657576 21353315152 42706630304