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11456496352 = 2574149111
BaseRepresentation
bin10101010101101110…
…00100001011100000
31002120102102022111201
422222313010023200
5141430330340402
65132452250544
7553621420000
oct125267041340
932512368451
1011456496352
114949991304
122278910a54
13110768a232
147a9780000
15470bb2687
hex2aadc42e0

11456496352 has 60 divisors (see below), whose sum is σ = 26312750856. Its totient is φ = 4909894080.

The previous prime is 11456496349. The next prime is 11456496383. The reversal of 11456496352 is 25369465411.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 2277 + ... + 151387.

Almost surely, 211456496352 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 11456496352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13156375428).

11456496352 is an abundant number, since it is smaller than the sum of its proper divisors (14856254504).

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

11456496352 is an frugal number, since it uses more digits than its factorization.

11456496352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149149 (or 149120 counting only the distinct ones).

The product of its digits is 777600, while the sum is 46.

The spelling of 11456496352 in words is "eleven billion, four hundred fifty-six million, four hundred ninety-six thousand, three hundred fifty-two".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 98 112 196 224 343 392 686 784 1372 1568 2401 2744 4802 5488 9604 10976 19208 38416 76832 149111 298222 596444 1043777 1192888 2087554 2385776 4175108 4771552 7306439 8350216 14612878 16700432 29225756 33400864 51145073 58451512 102290146 116903024 204580292 233806048 358015511 409160584 716031022 818321168 1432062044 1636642336 2864124088 5728248176 11456496352