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12338330544 = 243299186461
BaseRepresentation
bin10110111110110101…
…11111101110110000
31011211212202010121100
423133122333232300
5200232103034134
65400153124400
7614520036111
oct133732775660
934755663540
1012338330544
1152617363a1
1224840b9700
131218293307
1485092c208
154c3301999
hex2df6bfbb0

12338330544 has 60 divisors (see below), whose sum is σ = 34565432512. Its totient is φ = 4108579200.

The previous prime is 12338330471. The next prime is 12338330569. The reversal of 12338330544 is 44503383321.

12338330544 is a `hidden beast` number, since 1 + 2 + 3 + 3 + 83 + 30 + 544 = 666.

It is a super-2 number, since 2×123383305442 (a number of 21 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 12338330499 and 12338330508.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 99474 + ... + 185934.

Almost surely, 212338330544 is an apocalyptic number.

It is an amenable number.

12338330544 is an abundant number, since it is smaller than the sum of its proper divisors (22227101968).

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

12338330544 is a wasteful number, since it uses less digits than its factorization.

12338330544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87466 (or 87457 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

The spelling of 12338330544 in words is "twelve billion, three hundred thirty-eight million, three hundred thirty thousand, five hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 991 1982 2973 3964 5946 7928 8919 11892 15856 17838 23784 35676 47568 71352 86461 142704 172922 259383 345844 518766 691688 778149 1037532 1383376 1556298 2075064 3112596 4150128 6225192 12450384 85682851 171365702 257048553 342731404 514097106 685462808 771145659 1028194212 1370925616 1542291318 2056388424 3084582636 4112776848 6169165272 12338330544