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11315612654052 = 22371013089431777
BaseRepresentation
bin1010010010101001111100…
…0100101001100111100100
31111001202120111112201002220
42210222133010221213210
52440343333314412202
640022153134032340
72245345300366560
oct244523704514744
944052514481086
1011315612654052
113672a19389293
12132905b9486b0
136410999a81a5
142b197001a6a0
15149529849abc
hexa4a9f1299e4

11315612654052 has 96 divisors (see below), whose sum is σ = 30483664968960. Its totient is φ = 3199978291200.

The previous prime is 11315612654051. The next prime is 11315612654069. The reversal of 11315612654052 is 25045621651311.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 11315612653995 and 11315612654013.

It is not an unprimeable number, because it can be changed into a prime (11315612654051) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 25991188 + ... + 26422964.

It is an arithmetic number, because the mean of its divisors is an integer number (317538176760).

Almost surely, 211315612654052 is an apocalyptic number.

11315612654052 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 11315612654052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15241832484480).

11315612654052 is an abundant number, since it is smaller than the sum of its proper divisors (19168052314908).

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

11315612654052 is a wasteful number, since it uses less digits than its factorization.

11315612654052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 434981 (or 434979 counting only the distinct ones).

The product of its (nonzero) digits is 216000, while the sum is 42.

The spelling of 11315612654052 in words is "eleven trillion, three hundred fifteen billion, six hundred twelve million, six hundred fifty-four thousand, fifty-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 101 202 303 404 606 707 1212 1414 2121 2828 3089 4242 6178 8484 9267 12356 18534 21623 37068 43246 64869 86492 129738 259476 311989 431777 623978 863554 935967 1247956 1295331 1727108 1871934 2183923 2590662 3022439 3743868 4367846 5181324 6044878 6551769 8735692 9067317 12089756 13103538 18134634 26207076 36269268 43609477 87218954 130828431 174437908 261656862 305266339 523313724 610532678 915799017 1221065356 1333759153 1831598034 2667518306 3663196068 4001277459 5335036612 8002554918 9336314071 16005109836 18672628142 28008942213 37345256284 56017884426 112035768852 134709674453 269419348906 404129023359 538838697812 808258046718 942967721171 1616516093436 1885935442342 2828903163513 3771870884684 5657806327026 11315612654052