Search a number
-
+
10385083782 = 23210943112281
BaseRepresentation
bin10011010101111111…
…11100110110000110
3222210202100220202200
421222333330312012
5132232040140112
64434300215330
7515231520123
oct115277746606
928722326680
1010385083782
11444a122177
122019b3a546
13c967085b8
1470736374a
1540bac6cdc
hex26affcd86

10385083782 has 48 divisors (see below), whose sum is σ = 22761984960. Its totient is φ = 3421699200.

The previous prime is 10385083759. The next prime is 10385083799. The reversal of 10385083782 is 28738058301.

10385083782 is a `hidden beast` number, since 1 + 0 + 38 + 508 + 37 + 82 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 839482 + ... + 851762.

It is an arithmetic number, because the mean of its divisors is an integer number (474208020).

Almost surely, 210385083782 is an apocalyptic number.

10385083782 is an abundant number, since it is smaller than the sum of its proper divisors (12376901178).

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

10385083782 is a wasteful number, since it uses less digits than its factorization.

10385083782 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12829 (or 12826 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The spelling of 10385083782 in words is "ten billion, three hundred eighty-five million, eighty-three thousand, seven hundred eighty-two".

Divisors: 1 2 3 6 9 18 109 218 327 431 654 862 981 1293 1962 2586 3879 7758 12281 24562 36843 46979 73686 93958 110529 140937 221058 281874 422811 845622 1338629 2677258 4015887 5293111 8031774 10586222 12047661 15879333 24095322 31758666 47637999 95275998 576949099 1153898198 1730847297 3461694594 5192541891 10385083782