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5083126785 = 3351137711303
BaseRepresentation
bin1001011101111101…
…00101110000000001
3111010020210121002000
410232332211300001
540402240024120
62200221014213
7236651602422
oct45676456001
914106717060
105083126785
112179324430
12b9a3b4369
13630145239
1436313d649
151eb3c6990
hex12efa5c01

5083126785 has 128 divisors (see below), whose sum is σ = 10275102720. Its totient is φ = 2362348800.

The previous prime is 5083126781. The next prime is 5083126883. The reversal of 5083126785 is 5876213805.

5083126785 is a `hidden beast` number, since 508 + 3 + 1 + 2 + 67 + 85 = 666.

It is not a de Polignac number, because 5083126785 - 22 = 5083126781 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 5083126785.

It is not an unprimeable number, because it can be changed into a prime (5083126781) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3900444 + ... + 3901746.

It is an arithmetic number, because the mean of its divisors is an integer number (80274240).

Almost surely, 25083126785 is an apocalyptic number.

5083126785 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

5083126785 is an abundant number, since it is smaller than the sum of its proper divisors (5191975935).

5083126785 is a wasteful number, since it uses less digits than its factorization.

5083126785 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1436 (or 1430 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 45.

The square root of 5083126785 is about 71296.0502762951. The cubic root of 5083126785 is about 1719.4002308731.

The spelling of 5083126785 in words is "five billion, eighty-three million, one hundred twenty-six thousand, seven hundred eighty-five".

Divisors: 1 3 5 9 11 15 27 33 37 45 55 71 99 111 135 165 185 213 297 333 355 407 495 555 639 781 999 1065 1221 1303 1485 1665 1917 2035 2343 2627 3195 3663 3905 3909 4995 6105 6515 7029 7881 9585 10989 11715 11727 13135 14333 18315 19545 21087 23643 28897 35145 35181 39405 42999 48211 54945 58635 70929 71665 86691 92513 105435 118215 128997 144485 144633 175905 214995 241055 260073 277539 354645 386991 433455 433899 462565 530321 644985 723165 780219 832617 1017643 1300365 1301697 1387695 1590963 1934955 2169495 2497851 2651605 3052929 3422981 3901095 4163085 4772889 5088215 6508485 7954815 9158787 10268943 12489255 14318667 15264645 17114905 23864445 27476361 30806829 37652791 45793935 51344715 71593335 92420487 112958373 137381805 154034145 188263955 338875119 462102435 564791865 1016625357 1694375595 5083126785