Search a number
-
+
740682202286047 = 71012417951546731
BaseRepresentation
bin1010100001101001011000001…
…1100011110000011111011111
310121010112112020012002120022111
42220122112003203300133133
51234040314122241123142
611143144412322054451
7312004344311316010
oct25032260343603737
93533475205076274
10740682202286047
111a500561571097a
126b0a520aaaa427
1325a3a055331668
14d0c92d1c4d007
155a96c9d014e17
hex2a1a5838f07df

740682202286047 has 32 divisors (see below), whose sum is σ = 858531807479808. Its totient is φ = 625896504000000.

The previous prime is 740682202285979. The next prime is 740682202286063.

740682202286047 is nontrivially palindromic in base 10.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-740682202286047 is a prime.

It is a super-2 number, since 2×7406822022860472 (a number of 31 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 740682202285982 and 740682202286000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (740682202289047) 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, 1354473672 + ... + 1355020402.

It is an arithmetic number, because the mean of its divisors is an integer number (26829118983744).

Almost surely, 2740682202286047 is an apocalyptic number.

740682202286047 is a deficient number, since it is larger than the sum of its proper divisors (117849605193761).

740682202286047 is a wasteful number, since it uses less digits than its factorization.

740682202286047 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 555031.

The product of its (nonzero) digits is 28901376, while the sum is 58.

The spelling of 740682202286047 in words is "seven hundred forty trillion, six hundred eighty-two billion, two hundred two million, two hundred eighty-six thousand, forty-seven".

Divisors: 1 7 101 241 707 1687 7951 24341 55657 170387 546731 803051 1916191 3827117 5621357 13413337 55219831 131762171 193535291 386538817 922335197 1354747037 4347058181 13307979271 30429407267 93155854897 439052876281 1047641021621 3073370133967 7333487151347 105811743183721 740682202286047