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11435613064 = 2323231671301
BaseRepresentation
bin10101010011001110…
…11001101110001000
31002111222010100000121
422221213121232020
5141410004104224
65130424513024
7553246051531
oct125147315610
932458110017
1011435613064
114939118397
12227191b774
131103257a65
147a6aa5688
1546de39be4
hex2a99d9b88

11435613064 has 96 divisors (see below), whose sum is σ = 23500995840. Its totient is φ = 5209776000.

The previous prime is 11435613061. The next prime is 11435613067. The reversal of 11435613064 is 46031653411.

11435613064 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (11435613061) and next prime (11435613067).

It is a super-2 number, since 2×114356130642 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (11435613061) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 8789214 + ... + 8790514.

It is an arithmetic number, because the mean of its divisors is an integer number (244802040).

Almost surely, 211435613064 is an apocalyptic number.

It is an amenable number.

11435613064 is an abundant number, since it is smaller than the sum of its proper divisors (12065382776).

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

11435613064 is a wasteful number, since it uses less digits than its factorization.

11435613064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1451 (or 1424 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 34.

The spelling of 11435613064 in words is "eleven billion, four hundred thirty-five million, six hundred thirteen thousand, sixty-four".

Divisors: 1 2 4 8 23 31 46 62 67 92 124 134 184 248 268 529 536 713 1058 1301 1426 1541 2077 2116 2602 2852 3082 4154 4232 5204 5704 6164 8308 10408 12328 16399 16616 29923 32798 35443 40331 47771 59846 65596 70886 80662 87167 95542 119692 131192 141772 161324 174334 191084 239384 283544 322648 348668 382168 688229 697336 927613 1098733 1376458 1855226 2004841 2197466 2702177 2752916 3710452 4009682 4394932 5404354 5505832 7420904 8019364 8789864 10808708 16038728 21335099 21617416 42670198 46111343 62150071 85340396 92222686 124300142 170680792 184445372 248600284 368890744 497200568 1429451633 2858903266 5717806532 11435613064