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10427333332 = 22134347313317
BaseRepresentation
bin10011011011000010…
…00111101011010100
3222220200212102020211
421231201013223110
5132323344131312
64442405535204
7516253604503
oct115541075324
928820772224
1010427333332
114470a59959
122030114504
13ca23ac030
1470cc0083a
154106703a7
hex26d847ad4

10427333332 has 96 divisors (see below), whose sum is σ = 20666967552. Its totient is φ = 4571513856.

The previous prime is 10427333311. The next prime is 10427333339. The reversal of 10427333332 is 23333372401.

10427333332 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 10427333294 and 10427333303.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10427333339) 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 31 ways as a sum of consecutive naturals, for example, 32893638 + ... + 32893954.

It is an arithmetic number, because the mean of its divisors is an integer number (215280912).

Almost surely, 210427333332 is an apocalyptic number.

It is an amenable number.

10427333332 is a deficient number, since it is larger than the sum of its proper divisors (10239634220).

10427333332 is a wasteful number, since it uses less digits than its factorization.

10427333332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 737 (or 735 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 31.

The spelling of 10427333332 in words is "ten billion, four hundred twenty-seven million, three hundred thirty-three thousand, three hundred thirty-two".

Divisors: 1 2 4 13 26 43 47 52 86 94 172 188 313 317 559 611 626 634 1118 1222 1252 1268 2021 2236 2444 4042 4069 4121 8084 8138 8242 13459 13631 14711 14899 16276 16484 26273 26918 27262 29422 29798 52546 53836 54524 58844 59596 99221 105092 174967 177203 191243 193687 198442 349934 354406 382486 387374 396884 632573 640657 699868 708812 764972 774748 1265146 1281314 1289873 2530292 2562628 2579746 4266503 4663387 5159492 8223449 8328541 8533006 9326774 16446898 16657082 17066012 18653548 32893796 33314164 55464539 60624031 110929078 121248062 200525641 221858156 242496124 401051282 802102564 2606833333 5213666666 10427333332