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11310434053264 = 24171073831014677
BaseRepresentation
bin1010010010010110101001…
…1001110110110010010000
31111001021012121002112022201
42210211222121312302100
52440302232104201024
640015535222412544
72245103046122233
oct244455231666220
944037177075281
1011310434053264
113670801184925
121328055591154
13640752b45578
142b15dc34741a
15149324db4744
hexa496a676c90

11310434053264 has 80 divisors (see below), whose sum is σ = 23481045116928. Its totient is φ = 5259041355776.

The previous prime is 11310434053211. The next prime is 11310434053279. The reversal of 11310434053264 is 46235043401311.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10639494 + ... + 11654170.

Almost surely, 211310434053264 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11310434053264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11740522558464).

11310434053264 is an abundant number, since it is smaller than the sum of its proper divisors (12170611063664).

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

11310434053264 is a wasteful number, since it uses less digits than its factorization.

11310434053264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1015192 (or 1015186 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 37.

Adding to 11310434053264 its reverse (46235043401311), we get a palindrome (57545477454575).

The spelling of 11310434053264 in words is "eleven trillion, three hundred ten billion, four hundred thirty-four million, fifty-three thousand, two hundred sixty-four".

Divisors: 1 2 4 8 16 17 34 68 107 136 214 272 383 428 766 856 1532 1712 1819 3064 3638 6128 6511 7276 13022 14552 26044 29104 40981 52088 81962 104176 163924 327848 655696 696677 1014677 1393354 2029354 2786708 4058708 5573416 8117416 11146832 16234832 17249509 34499018 68998036 108570439 137996072 217140878 275992144 388621291 434281756 777242582 868563512 1554485164 1737127024 1845697463 3108970328 3691394926 6217940656 6606561947 7382789852 13213123894 14765579704 26426247788 29531159408 41582478137 52852495576 83164956274 105704991152 166329912548 332659825096 665319650192 706902128329 1413804256658 2827608513316 5655217026632 11310434053264