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11544660192 = 2531319746957
BaseRepresentation
bin10101100000001110…
…11000100011100000
31002210120022111120010
422300013120203200
5142120413111232
65145322044520
7556041664302
oct126007304340
932716274503
1011544660192
11499472908a
1222a2349740
13111ca184a0
147b736d972
154787ca0cc
hex2b01d88e0

11544660192 has 96 divisors (see below), whose sum is σ = 32802229152. Its totient is φ = 3534096384.

The previous prime is 11544660163. The next prime is 11544660229. The reversal of 11544660192 is 29106644511.

It is a tau number, because it is divible by the number of its divisors (96).

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 11544660192.

It is a congruent number.

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, 222378 + ... + 269334.

It is an arithmetic number, because the mean of its divisors is an integer number (341689887).

Almost surely, 211544660192 is an apocalyptic number.

11544660192 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 11544660192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16401114576).

11544660192 is an abundant number, since it is smaller than the sum of its proper divisors (21257568960).

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

11544660192 is a wasteful number, since it uses less digits than its factorization.

11544660192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47180 (or 47172 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 39.

The spelling of 11544660192 in words is "eleven billion, five hundred forty-four million, six hundred sixty thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 96 104 156 197 208 312 394 416 591 624 788 1182 1248 1576 2364 2561 3152 4728 5122 6304 7683 9456 10244 15366 18912 20488 30732 40976 46957 61464 81952 93914 122928 140871 187828 245856 281742 375656 563484 610441 751312 1126968 1220882 1502624 1831323 2253936 2441764 3662646 4507872 4883528 7325292 9250529 9767056 14650584 18501058 19534112 27751587 29301168 37002116 55503174 58602336 74004232 111006348 120256877 148008464 222012696 240513754 296016928 360770631 444025392 481027508 721541262 888050784 962055016 1443082524 1924110032 2886165048 3848220064 5772330096 11544660192