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4123721745 = 345112136473
BaseRepresentation
bin1111010111001011…
…0000000000010001
3101122101111202210000
43311302300000101
531421133043440
61521105400213
7204122025243
oct36562600021
911571452700
104123721745
111826808200
12971039069
1350944c650
142b195c093
15192063730
hexf5cb0011

4123721745 has 120 divisors (see below), whose sum is σ = 8751630888. Its totient is φ = 1845296640.

The previous prime is 4123721741. The next prime is 4123721759. The reversal of 4123721745 is 5471273214.

4123721745 is a `hidden beast` number, since 412 + 3 + 72 + 174 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 8242641 + 4115479104 = 2871^2 + 64152^2 .

It is not a de Polignac number, because 4123721745 - 22 = 4123721741 is a prime.

It is not an unprimeable number, because it can be changed into a prime (4123721741) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 633829 + ... + 640301.

Almost surely, 24123721745 is an apocalyptic number.

4123721745 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

4123721745 is an abundant number, since it is smaller than the sum of its proper divisors (4627909143).

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

4123721745 is a wasteful number, since it uses less digits than its factorization.

4123721745 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6525 (or 6505 counting only the distinct ones).

The product of its digits is 47040, while the sum is 36.

The square root of 4123721745 is about 64216.2109206079. The cubic root of 4123721745 is about 1603.6014894272.

Adding to 4123721745 its reverse (5471273214), we get a palindrome (9594994959).

The spelling of 4123721745 in words is "four billion, one hundred twenty-three million, seven hundred twenty-one thousand, seven hundred forty-five".

Divisors: 1 3 5 9 11 13 15 27 33 39 45 55 65 81 99 117 121 135 143 165 195 297 351 363 405 429 495 585 605 715 891 1053 1089 1287 1485 1573 1755 1815 2145 3267 3861 4455 4719 5265 5445 6435 6473 7865 9801 11583 14157 16335 19305 19419 23595 32365 42471 49005 57915 58257 70785 71203 84149 97095 127413 174771 212355 213609 252447 291285 356015 420745 524313 637065 640827 757341 783233 873855 925639 1068045 1262235 1922481 2272023 2349699 2621565 2776917 3204135 3786705 3916165 4628195 5767443 6816069 7049097 8330751 9612405 10182029 11360115 11748495 13884585 21147291 24992253 28837215 30546087 34080345 35245485 41653755 50910145 63441873 74976759 91638261 105736455 124961265 152730435 274914783 317209365 374883795 458191305 824744349 1374573915 4123721745