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1054397324652 = 2237222346117443
BaseRepresentation
bin11110101011111101111…
…10100101110101101100
310201210120202120211111220
433111332332211311230
5114233401203342102
62124214453543340
7136114643245200
oct17257676456554
93653522524456
101054397324652
11377192890051
12150423644b50
13785770728c9
1439066b96b00
151c6621b71bc
hexf57efa5d6c

1054397324652 has 144 divisors (see below), whose sum is σ = 2881170496512. Its totient is φ = 299237742720.

The previous prime is 1054397324641. The next prime is 1054397324677. The reversal of 1054397324652 is 2564237934501.

It is a super-2 number, since 2×10543973246522 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1054397324595 and 1054397324604.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 60439443 + ... + 60456885.

It is an arithmetic number, because the mean of its divisors is an integer number (20008128448).

Almost surely, 21054397324652 is an apocalyptic number.

1054397324652 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 1054397324652, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1440585248256).

1054397324652 is an abundant number, since it is smaller than the sum of its proper divisors (1826773171860).

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

1054397324652 is a wasteful number, since it uses less digits than its factorization.

1054397324652 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18148 (or 18139 counting only the distinct ones).

The product of its (nonzero) digits is 5443200, while the sum is 51.

The spelling of 1054397324652 in words is "one trillion, fifty-four billion, three hundred ninety-seven million, three hundred twenty-four thousand, six hundred fifty-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 49 84 98 147 196 223 294 446 461 588 669 892 922 1338 1383 1561 1844 2676 2766 3122 3227 4683 5532 6244 6454 9366 9681 10927 12908 17443 18732 19362 21854 22589 32781 34886 38724 43708 45178 52329 65562 67767 69772 90356 102803 104658 122101 131124 135534 205606 209316 244202 271068 308409 366303 411212 488404 616818 719621 732606 854707 1233636 1439242 1465212 1709414 2158863 2564121 2878484 3418828 3889789 4317726 5037347 5128242 7779578 8041223 8635452 10074694 10256484 11669367 15112041 15559156 16082446 20149388 23338734 24123669 27228523 30224082 32164892 46677468 48247338 54457046 56288561 60448164 81685569 96494676 108914092 112577122 163371138 168865683 190599661 225154244 326742276 337731366 381199322 394019927 571798983 675462732 762398644 788039854 1143597966 1182059781 1576079708 1793192729 2287195932 2364119562 3586385458 4728239124 5379578187 7172770916 10759156374 12552349103 21518312748 25104698206 37657047309 50209396412 75314094618 87866443721 150628189236 175732887442 263599331163 351465774884 527198662326 1054397324652