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11296332048 = 2431931212889
BaseRepresentation
bin10101000010101000…
…00101100100010000
31002011021001010101110
422201110011210100
5141113330111143
65104531333320
7546635144451
oct124124054420
932137033343
1011296332048
114877537511
122233151240
1310b043ca61
147923ab128
15461ac6533
hex2a1505910

11296332048 has 120 divisors (see below), whose sum is σ = 31743429600. Its totient is φ = 3451921920.

The previous prime is 11296332043. The next prime is 11296332049. The reversal of 11296332048 is 84023369211.

It is a junction number, because it is equal to n+sod(n) for n = 11296331997 and 11296332015.

It is not an unprimeable number, because it can be changed into a prime (11296332043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 869988 + ... + 882876.

It is an arithmetic number, because the mean of its divisors is an integer number (264528580).

Almost surely, 211296332048 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 11296332048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15871714800).

11296332048 is an abundant number, since it is smaller than the sum of its proper divisors (20447097552).

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

11296332048 is a wasteful number, since it uses less digits than its factorization.

11296332048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12981 (or 12944 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 39.

The spelling of 11296332048 in words is "eleven billion, two hundred ninety-six million, three hundred thirty-two thousand, forty-eight".

Divisors: 1 2 3 4 6 8 12 16 19 24 31 38 48 57 62 76 93 114 124 152 186 228 248 304 372 456 496 589 744 912 961 1178 1488 1767 1922 2356 2883 3534 3844 4712 5766 7068 7688 9424 11532 12889 14136 15376 18259 23064 25778 28272 36518 38667 46128 51556 54777 73036 77334 103112 109554 146072 154668 206224 219108 244891 292144 309336 399559 438216 489782 618672 734673 799118 876432 979564 1198677 1469346 1598236 1959128 2397354 2938692 3196472 3918256 4794708 5877384 6392944 7591621 9589416 11754768 12386329 15183242 19178832 22774863 24772658 30366484 37158987 45549726 49545316 60732968 74317974 91099452 99090632 121465936 148635948 182198904 198181264 235340251 297271896 364397808 470680502 594543792 706020753 941361004 1412041506 1882722008 2824083012 3765444016 5648166024 11296332048