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115221315552 = 2537383447677
BaseRepresentation
bin110101101001110111…
…0011011111111100000
3102000101222020021210120
41223103232123333200
53341433124044202
6124533144400240
711216202010530
oct1532356337740
9360358207716
10115221315552
1144957479832
121a3b7476080
13ab33166c35
1458108154c0
152ee56b90bc
hex1ad3b9bfe0

115221315552 has 96 divisors (see below), whose sum is σ = 346567237632. Its totient is φ = 32834348544.

The previous prime is 115221315541. The next prime is 115221315557. The reversal of 115221315552 is 255513122511.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (115221315557) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33538 + ... + 481214.

It is an arithmetic number, because the mean of its divisors is an integer number (3610075392).

Almost surely, 2115221315552 is an apocalyptic number.

115221315552 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 115221315552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173283618816).

115221315552 is an abundant number, since it is smaller than the sum of its proper divisors (231345922080).

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

115221315552 is a wasteful number, since it uses less digits than its factorization.

115221315552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 448080 (or 448072 counting only the distinct ones).

The product of its digits is 15000, while the sum is 33.

The spelling of 115221315552 in words is "one hundred fifteen billion, two hundred twenty-one million, three hundred fifteen thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 383 672 766 1149 1532 2298 2681 3064 4596 5362 6128 8043 9192 10724 12256 16086 18384 21448 32172 36768 42896 64344 85792 128688 257376 447677 895354 1343031 1790708 2686062 3133739 3581416 5372124 6267478 7162832 9401217 10744248 12534956 14325664 18802434 21488496 25069912 37604868 42976992 50139824 75209736 100279648 150419472 171460291 300838944 342920582 514380873 685841164 1028761746 1200222037 1371682328 2057523492 2400444074 2743364656 3600666111 4115046984 4800888148 5486729312 7201332222 8230093968 9601776296 14402664444 16460187936 19203552592 28805328888 38407105184 57610657776 115221315552