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11327306952 = 233131311911451
BaseRepresentation
bin10101000110010100…
…01111110011001000
31002020102022210222010
422203022033303020
5141144242310302
65111555255520
7550462343343
oct124312176310
932212283863
1011327306952
114892a73405
1222415aa5a0
1310b69966c0
1479655145a
1546469416c
hex2a328fcc8

11327306952 has 128 divisors (see below), whose sum is σ = 30911569920. Its totient is φ = 3438240000.

The previous prime is 11327306951. The next prime is 11327306953. The reversal of 11327306952 is 25960372311.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (11327306951) and next prime (11327306953).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 11327306952.

It is not an unprimeable number, because it can be changed into a prime (11327306951) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7805827 + ... + 7807277.

It is an arithmetic number, because the mean of its divisors is an integer number (241496640).

Almost surely, 211327306952 is an apocalyptic number.

11327306952 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11327306952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15455784960).

11327306952 is an abundant number, since it is smaller than the sum of its proper divisors (19584262968).

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

11327306952 is a wasteful number, since it uses less digits than its factorization.

11327306952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1795 (or 1791 counting only the distinct ones).

The product of its (nonzero) digits is 68040, while the sum is 39.

The spelling of 11327306952 in words is "eleven billion, three hundred twenty-seven million, three hundred six thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 104 131 156 191 262 312 382 393 524 573 764 786 1048 1146 1451 1528 1572 1703 2292 2483 2902 3144 3406 4353 4584 4966 5109 5804 6812 7449 8706 9932 10218 11608 13624 14898 17412 18863 19864 20436 25021 29796 34824 37726 40872 50042 56589 59592 75063 75452 100084 113178 150126 150904 190081 200168 226356 277141 300252 325273 380162 452712 554282 570243 600504 650546 760324 831423 975819 1108564 1140486 1301092 1520648 1662846 1951638 2217128 2280972 2471053 2602184 3325692 3602833 3903276 4561944 4942106 6651384 7205666 7413159 7806552 9884212 10808499 14411332 14826318 19768424 21616998 28822664 29652636 36305471 43233996 59305272 72610942 86467992 108916413 145221884 217832826 290443768 435665652 471971123 871331304 943942246 1415913369 1887884492 2831826738 3775768984 5663653476 11327306952