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4906346445 = 3357111336307
BaseRepresentation
bin1001001000111000…
…01110011111001101
3110122221011020001000
410210130032133031
540022011041240
62130504010513
7232404154020
oct44434163715
913587136030
104906346445
112098560780
12b4b160a39
1360262a9a0
143478831b7
151dab07430
hex12470e7cd

4906346445 has 128 divisors (see below), whose sum is σ = 11711508480. Its totient is φ = 1882103040.

The previous prime is 4906346443. The next prime is 4906346479. The reversal of 4906346445 is 5446436094.

4906346445 is a `hidden beast` number, since 4 + 9 + 0 + 634 + 6 + 4 + 4 + 5 = 666.

It is not a de Polignac number, because 4906346445 - 21 = 4906346443 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 4906346445.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4906346443) 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 127 ways as a sum of consecutive naturals, for example, 116982 + ... + 153288.

It is an arithmetic number, because the mean of its divisors is an integer number (91496160).

Almost surely, 24906346445 is an apocalyptic number.

4906346445 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

4906346445 is an abundant number, since it is smaller than the sum of its proper divisors (6805162035).

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

4906346445 is a wasteful number, since it uses less digits than its factorization.

4906346445 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36352 (or 36346 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 45.

The square root of 4906346445 is about 70045.3170811583. The cubic root of 4906346445 is about 1699.2322305832.

The spelling of 4906346445 in words is "four billion, nine hundred six million, three hundred forty-six thousand, four hundred forty-five".

Divisors: 1 3 5 7 9 11 13 15 21 27 33 35 39 45 55 63 65 77 91 99 105 117 135 143 165 189 195 231 273 297 315 351 385 429 455 495 585 693 715 819 945 1001 1155 1287 1365 1485 1755 2079 2145 2457 3003 3465 3861 4095 5005 6435 9009 10395 12285 15015 19305 27027 36307 45045 108921 135135 181535 254149 326763 399377 471991 544605 762447 980289 1198131 1270745 1415973 1633815 1996885 2287341 2359955 2795639 3303937 3594393 3812235 4247919 4901445 5191901 5990655 6862023 7079865 8386917 9911811 10783179 11436705 12743757 13978195 15575703 16519685 17971965 21239595 25160751 25959505 29735433 34310115 36343307 41934585 46727109 49559055 53915895 63718785 75482253 77878515 89206299 109029921 125803755 140181327 148677165 181716535 233635545 327089763 377411265 446031495 545149605 700906635 981269289 1635448815 4906346445