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683811571041 = 310412832
BaseRepresentation
bin10011111001101100101…
…10001000010101100001
32102101001000010000000000
421330312112020111201
542200421230233131
61242045543050213
7100255326310434
oct11746626102541
92371030100000
10683811571041
11244003894395
12b063b140969
134c63864b3b1
142514d32381b
1512bc2c90ce6
hex9f36588561

683811571041 has 99 divisors (see below), whose sum is σ = 1064158448467. Its totient is φ = 439396993440.

The previous prime is 683811571039. The next prime is 683811571043. The reversal of 683811571041 is 140175118386.

The square root of 683811571041 is 826929.

It is a perfect power (a square), and thus also a powerful number.

683811571041 is a `hidden beast` number, since 6 + 8 + 38 + 1 + 1 + 571 + 0 + 41 = 666.

It is an interprime number because it is at equal distance from previous prime (683811571039) and next prime (683811571043).

It can be written as a sum of positive squares in only one way, i.e., 32949873441 + 650861697600 = 181521^2 + 806760^2 .

It is not a de Polignac number, because 683811571041 - 21 = 683811571039 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (683811571043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 98 ways as a sum of consecutive naturals, for example, 8238693586 + ... + 8238693668.

Almost surely, 2683811571041 is an apocalyptic number.

683811571041 is the 826929-th square number.

683811571041 is the 413465-th centered octagonal number.

It is an amenable number.

683811571041 is a deficient number, since it is larger than the sum of its proper divisors (380346877426).

683811571041 is an frugal number, since it uses more digits than its factorization.

683811571041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 278 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 45.

The spelling of 683811571041 in words is "six hundred eighty-three billion, eight hundred eleven million, five hundred seventy-one thousand, forty-one".

Divisors: 1 3 9 27 41 81 83 123 243 249 369 729 747 1107 1681 2187 2241 3321 3403 5043 6561 6723 6889 9963 10209 15129 19683 20169 20667 29889 30627 45387 59049 60507 62001 89667 91881 136161 139523 181521 186003 269001 275643 282449 408483 418569 544563 558009 807003 826929 847347 1225449 1255707 1633689 1674027 2421009 2480787 2542041 3676347 3767121 4901067 5022081 7442361 7626123 11029041 11301363 11580409 15066243 22327083 22878369 33087123 33904089 34741227 45198729 66981249 68635107 99261369 101712267 104223681 135596187 200943747 205905321 305136801 312671043 406788561 617715963 915410403 938013129 1853147889 2746231209 2814039387 5559443667 8238693627 8442118161 16678331001 25326354483 75979063449 227937190347 683811571041