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11289732012 = 22321322517393
BaseRepresentation
bin10101000001110101…
…11010001110101100
31002010210121210211200
422200322322032230
5141110132411022
65104134045500
7546525065406
oct124072721654
932123553750
1011289732012
114873839839
122230aa9890
1310abc6b900
1479156db76
15461220bac
hex2a0eba3ac

11289732012 has 108 divisors (see below), whose sum is σ = 31029335064. Its totient is φ = 3459456000.

The previous prime is 11289731963. The next prime is 11289732031. The reversal of 11289732012 is 21023798211.

11289732012 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1523388 + ... + 1530780.

It is an arithmetic number, because the mean of its divisors is an integer number (287308658).

Almost surely, 211289732012 is an apocalyptic number.

11289732012 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 11289732012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15514667532).

11289732012 is an abundant number, since it is smaller than the sum of its proper divisors (19739603052).

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

11289732012 is a wasteful number, since it uses less digits than its factorization.

11289732012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7680 (or 7662 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The spelling of 11289732012 in words is "eleven billion, two hundred eighty-nine million, seven hundred thirty-two thousand, twelve".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 169 234 251 338 468 502 507 676 753 1004 1014 1506 1521 2028 2259 3012 3042 3263 4518 6084 6526 7393 9036 9789 13052 14786 19578 22179 29367 29572 39156 42419 44358 58734 66537 84838 88716 96109 117468 127257 133074 169676 192218 254514 266148 288327 381771 384436 509028 576654 763542 864981 1153308 1249417 1527084 1729962 1855643 2498834 3459924 3711286 3748251 4997668 5566929 7422572 7496502 11133858 11244753 14993004 16700787 22267716 22489506 24123359 33401574 44979012 48246718 66803148 72370077 96493436 144740154 217110231 289480308 313603667 434220462 627207334 868440924 940811001 1254414668 1881622002 2822433003 3763244004 5644866006 11289732012