Search a number
-
+
742475574247 = 115377311931381
BaseRepresentation
bin10101100110111101111…
…11100010101111100111
32121222110101210010200111
422303132333202233213
544131042221333442
61325031044153451
7104433144151651
oct12633677425747
92558411703614
10742475574247
11266978118270
12bba91698887
1355027378c24
1427d165a56d1
15144a8092b17
hexacdefe2be7

742475574247 has 32 divisors (see below), whose sum is σ = 827614967616. Its totient is φ = 660352742400.

The previous prime is 742475574241. The next prime is 742475574283.

742475574247 is nontrivially palindromic in base 10.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-742475574247 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 742475574191 and 742475574200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (742475574241) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 537635497 + ... + 537636877.

It is an arithmetic number, because the mean of its divisors is an integer number (25862967738).

Almost surely, 2742475574247 is an apocalyptic number.

742475574247 is a deficient number, since it is larger than the sum of its proper divisors (85139393369).

742475574247 is a wasteful number, since it uses less digits than its factorization.

742475574247 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3411.

The product of its digits is 61465600, while the sum is 58.

The spelling of 742475574247 in words is "seven hundred forty-two billion, four hundred seventy-five million, five hundred seventy-four thousand, two hundred forty-seven".

Divisors: 1 11 53 583 773 1193 1381 8503 13123 15191 40969 63229 73193 450659 695519 805123 922189 1067513 1647533 10144079 11742643 18122863 48876017 56578189 87319249 537636187 622360079 960511739 1273543009 14008973099 67497779477 742475574247