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11995844448 = 2537210632399
BaseRepresentation
bin10110010110000001…
…00000111101100000
31010222000022001000010
423023000200331200
5144031414010243
65302200324520
7603160665300
oct131300407540
933860261003
1011995844448
1150a6383535
1223a9473740
13119233b213
1481b259600
154a31ee433
hex2cb020f60

11995844448 has 144 divisors (see below), whose sum is σ = 36679910400. Its totient is φ = 3422732544.

The previous prime is 11995844431. The next prime is 11995844467. The reversal of 11995844448 is 84444859911.

It is a super-2 number, since 2×119958444482 (a number of 21 digits) contains 22 as substring.

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 23 ways as a sum of consecutive naturals, for example, 4999153 + ... + 5001551.

It is an arithmetic number, because the mean of its divisors is an integer number (254721600).

Almost surely, 211995844448 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 11995844448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18339955200).

11995844448 is an abundant number, since it is smaller than the sum of its proper divisors (24684065952).

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

11995844448 is a wasteful number, since it uses less digits than its factorization.

11995844448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3489 (or 3474 counting only the distinct ones).

The product of its digits is 6635520, while the sum is 57.

The spelling of 11995844448 in words is "eleven billion, nine hundred ninety-five million, eight hundred forty-four thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 49 56 84 96 98 112 147 168 196 224 294 336 392 588 672 784 1063 1176 1568 2126 2352 2399 3189 4252 4704 4798 6378 7197 7441 8504 9596 12756 14394 14882 16793 17008 19192 22323 25512 28788 29764 33586 34016 38384 44646 50379 51024 52087 57576 59528 67172 76768 89292 100758 102048 104174 115152 117551 119056 134344 156261 178584 201516 208348 230304 235102 238112 268688 312522 352653 357168 403032 416696 470204 537376 625044 705306 714336 806064 833392 940408 1250088 1410612 1612128 1666784 1880816 2500176 2550137 2821224 3761632 5000352 5100274 5642448 7650411 10200548 11284896 15300822 17850959 20401096 30601644 35701918 40802192 53552877 61203288 71403836 81604384 107105754 122406576 124956713 142807672 214211508 244813152 249913426 285615344 374870139 428423016 499826852 571230688 749740278 856846032 999653704 1499480556 1713692064 1999307408 2998961112 3998614816 5997922224 11995844448