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11534535232 = 261183307643
BaseRepresentation
bin10101011111000001…
…10000101001000000
31002202212021002201121
422233200300221000
5142110320111412
65144321042024
7555556634413
oct125740605100
932685232647
1011534535232
114989a43050
12229aa86314
13111a8b1a9c
147b5c95b7a
1547797a107
hex2af830a40

11534535232 has 112 divisors (see below), whose sum is σ = 25392229632. Its totient is φ = 5154900480.

The previous prime is 11534535193. The next prime is 11534535247. The reversal of 11534535232 is 23253543511.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17938303 + ... + 17938945.

It is an arithmetic number, because the mean of its divisors is an integer number (226716336).

Almost surely, 211534535232 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 11534535232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12696114816).

11534535232 is an abundant number, since it is smaller than the sum of its proper divisors (13857694400).

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

11534535232 is a wasteful number, since it uses less digits than its factorization.

11534535232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1056 (or 1046 counting only the distinct ones).

The product of its digits is 54000, while the sum is 34.

The spelling of 11534535232 in words is "eleven billion, five hundred thirty-four million, five hundred thirty-five thousand, two hundred thirty-two".

Divisors: 1 2 4 8 11 16 22 32 44 64 83 88 166 176 307 332 352 614 643 664 704 913 1228 1286 1328 1826 2456 2572 2656 3377 3652 4912 5144 5312 6754 7073 7304 9824 10288 13508 14146 14608 19648 20576 25481 27016 28292 29216 41152 50962 53369 54032 56584 58432 101924 106738 108064 113168 197401 203848 213476 216128 226336 280291 394802 407696 426952 452672 560582 587059 789604 815392 853904 1121164 1174118 1579208 1630784 1707808 2171411 2242328 2348236 3158416 3415616 4342822 4484656 4696472 6316832 8685644 8969312 9392944 12633664 16384283 17371288 17938624 18785888 32768566 34742576 37571776 65537132 69485152 131074264 138970304 180227113 262148528 360454226 524297056 720908452 1048594112 1441816904 2883633808 5767267616 11534535232