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11279680984 = 23112132333847
BaseRepresentation
bin10101000000101001…
…00100010111011000
31002010002201011102101
422200110210113120
5141100044242414
65103134413144
7546343464205
oct124024442730
932102634371
1011279680984
1148690a4300
1222296611b4
1310a9b5ca60
147900b4cac
154603d7a74
hex2a05245d8

11279680984 has 96 divisors (see below), whose sum is σ = 25149065760. Its totient is φ = 4711196160.

The previous prime is 11279680963. The next prime is 11279681003. The reversal of 11279680984 is 48908697211.

It is a happy number.

It is a super-2 number, since 2×112796809842 (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, 2930149 + ... + 2933995.

It is an arithmetic number, because the mean of its divisors is an integer number (261969435).

Almost surely, 211279680984 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 11279680984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12574532880).

11279680984 is an abundant number, since it is smaller than the sum of its proper divisors (13869384776).

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

11279680984 is a wasteful number, since it uses less digits than its factorization.

11279680984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4121 (or 4106 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 55.

The spelling of 11279680984 in words is "eleven billion, two hundred seventy-nine million, six hundred eighty thousand, nine hundred eighty-four".

Divisors: 1 2 4 8 11 13 22 26 44 52 88 104 121 143 233 242 286 466 484 572 932 968 1144 1573 1864 2563 3029 3146 3847 5126 6058 6292 7694 10252 12116 12584 15388 20504 24232 28193 30776 33319 42317 50011 56386 66638 84634 100022 112772 133276 169268 200044 225544 266552 338536 366509 400088 465487 550121 733018 896351 930974 1100242 1466036 1792702 1861948 2200484 2932072 3585404 3723896 4400968 6051331 7170808 9859861 11652563 12102662 19719722 23305126 24205324 39439444 46610252 48410648 78878888 93220504 108458471 128178193 216916942 256356386 433833884 512712772 867667768 1025425544 1409960123 2819920246 5639840492 11279680984