Search a number
-
+
1425747968505 = 33579725760521
BaseRepresentation
bin10100101111110101001…
…100111000000111111001
312001022002211100010012000
4110233311030320013321
5141324412434443010
63010551331011213
7205002235526430
oct24576514700771
95038084303160
101425747968505
114aa724617103
121b03a0139b09
13a45a80a62b3
144d014056117
152714882c7c0
hex14bf53381f9

1425747968505 has 128 divisors (see below), whose sum is σ = 2938057436160. Its totient is φ = 642530672640.

The previous prime is 1425747968423. The next prime is 1425747968527. The reversal of 1425747968505 is 5058697475241.

It is a happy number.

1425747968505 is a `hidden beast` number, since 1 + 4 + 2 + 57 + 4 + 79 + 6 + 8 + 505 = 666.

It is not a de Polignac number, because 1425747968505 - 210 = 1425747967481 is a prime.

It is a super-2 number, since 2×14257479685052 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 23527645 + ... + 23588165.

It is an arithmetic number, because the mean of its divisors is an integer number (22953573720).

Almost surely, 21425747968505 is an apocalyptic number.

1425747968505 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1425747968505 is an abundant number, since it is smaller than the sum of its proper divisors (1512309467655).

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

1425747968505 is a wasteful number, since it uses less digits than its factorization.

1425747968505 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60896 (or 60890 counting only the distinct ones).

The product of its (nonzero) digits is 84672000, while the sum is 63.

The spelling of 1425747968505 in words is "one trillion, four hundred twenty-five billion, seven hundred forty-seven million, nine hundred sixty-eight thousand, five hundred five".

Divisors: 1 3 5 7 9 15 21 27 35 45 63 97 105 135 189 257 291 315 485 679 771 873 945 1285 1455 1799 2037 2313 2619 3395 3855 4365 5397 6111 6939 8995 10185 11565 13095 16191 18333 24929 26985 30555 34695 48573 60521 74787 80955 91665 124645 174503 181563 224361 242865 302605 373935 423647 523509 544689 673083 872515 907815 1121805 1270941 1570527 1634067 2118235 2617545 2723445 3365415 3812823 4711581 5870537 6354705 7852635 8170335 11438469 15553897 17611611 19064115 23557905 29352685 41093759 46661691 52834833 57192345 77769485 88058055 108877279 123281277 139985073 158504499 205468795 233308455 264174165 326631837 369843831 419955219 544386395 616406385 699925365 792522495 979895511 1109531493 1508728009 1633159185 1849219155 2099776095 2939686533 4526184027 4899477555 5547657465 7543640045 10561096063 13578552081 14698432665 22630920135 31683288189 40735656243 52805480315 67892760405 95049864567 158416440945 203678281215 285149593701 475249322835 1425747968505