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10473157344 = 2531361137573
BaseRepresentation
bin10011100000011111…
…11011001011100000
31000000220002111222110
421300033323023200
5132422112013334
64451124035320
7520351240266
oct116017731340
930026074873
1010473157344
114494908141
122043532b40
13caba34730
14714d2c436
154146c2ae9
hex2703fb2e0

10473157344 has 96 divisors (see below), whose sum is σ = 30092386464. Its totient is φ = 3169658880.

The previous prime is 10473157297. The next prime is 10473157349. The reversal of 10473157344 is 44375137401.

10473157344 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a super-2 number, since 2×104731573442 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10473157349) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7342 + ... + 144914.

It is an arithmetic number, because the mean of its divisors is an integer number (313462359).

Almost surely, 210473157344 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 10473157344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15046193232).

10473157344 is an abundant number, since it is smaller than the sum of its proper divisors (19619229120).

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

10473157344 is a wasteful number, since it uses less digits than its factorization.

10473157344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137660 (or 137652 counting only the distinct ones).

The product of its (nonzero) digits is 141120, while the sum is 39.

The spelling of 10473157344 in words is "ten billion, four hundred seventy-three million, one hundred fifty-seven thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 61 78 96 104 122 156 183 208 244 312 366 416 488 624 732 793 976 1248 1464 1586 1952 2379 2928 3172 4758 5856 6344 9516 12688 19032 25376 38064 76128 137573 275146 412719 550292 825438 1100584 1650876 1788449 2201168 3301752 3576898 4402336 5365347 6603504 7153796 8391953 10730694 13207008 14307592 16783906 21461388 25175859 28615184 33567812 42922776 50351718 57230368 67135624 85845552 100703436 109095389 134271248 171691104 201406872 218190778 268542496 327286167 402813744 436381556 654572334 805627488 872763112 1309144668 1745526224 2618289336 3491052448 5236578672 10473157344