Search a number
-
+
1024427107046 = 27223223998237
BaseRepresentation
bin11101110100001001001…
…11010010001011100110
310121221020002100000220102
432322010213102023212
5113241011314411141
62102340524104102
7134004154510400
oct16720447221346
93557202300812
101024427107046
11365503438a72
1214665a695032
13757abc07735
14378226a1b70
151b9aaec299b
hexee849d22e6

1024427107046 has 72 divisors (see below), whose sum is σ = 1869623985600. Its totient is φ = 419725469856.

The previous prime is 1024427107019. The next prime is 1024427107127. The reversal of 1024427107046 is 6407017244201.

It is a happy number.

1024427107046 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10244271070462 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 124364840 + ... + 124373076.

It is an arithmetic number, because the mean of its divisors is an integer number (25966999800).

Almost surely, 21024427107046 is an apocalyptic number.

1024427107046 is a deficient number, since it is larger than the sum of its proper divisors (845196878554).

1024427107046 is a wasteful number, since it uses less digits than its factorization.

1024427107046 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10698 (or 10668 counting only the distinct ones).

The product of its (nonzero) digits is 75264, while the sum is 38.

The spelling of 1024427107046 in words is "one trillion, twenty-four billion, four hundred twenty-seven million, one hundred seven thousand, forty-six".

Divisors: 1 2 7 14 23 46 49 98 161 322 529 1058 1127 2254 2399 3703 4798 7406 8237 16474 16793 25921 33586 51842 55177 57659 110354 115318 117551 189451 235102 378902 386239 403613 772478 807226 1269071 1326157 2538142 2652314 2703673 4357373 5407346 8714746 8883497 9283099 17766994 18566198 19760563 30501611 39521126 61003222 62184479 124368958 138323941 213511277 276647882 427022554 454492949 908985898 968267587 1936535174 3181450643 6362901286 10453337827 20906675654 22270154501 44540309002 73173364789 146346729578 512213553523 1024427107046