Search a number
-
+
193845534170113 = 7312596167311897
BaseRepresentation
bin101100000100110100101110…
…001101001001110000000001
3221102100110012120101022212201
4230010310232031021300001
5200401431123221420423
61524135224203353201
755554610021026010
oct5404645615116001
9842313176338781
10193845534170113
115684647a550751
12198a8691222801
13842172b3ab257
1435c2261310a77
1517625794382ad
hexb04d2e349c01

193845534170113 has 96 divisors (see below), whose sum is σ = 236982368943360. Its totient is φ = 155232864460800.

The previous prime is 193845534170083. The next prime is 193845534170161. The reversal of 193845534170113 is 311071435548391.

It is a de Polignac number, because none of the positive numbers 2k-193845534170113 is a prime.

It is a super-2 number, since 2×1938455341701132 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (193845534170713) 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 95 ways as a sum of consecutive naturals, for example, 16293642381 + ... + 16293654277.

It is an arithmetic number, because the mean of its divisors is an integer number (2468566343160).

Almost surely, 2193845534170113 is an apocalyptic number.

It is an amenable number.

193845534170113 is a deficient number, since it is larger than the sum of its proper divisors (43136834773247).

193845534170113 is a wasteful number, since it uses less digits than its factorization.

193845534170113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12759 (or 12728 counting only the distinct ones).

The product of its (nonzero) digits is 5443200, while the sum is 55.

The spelling of 193845534170113 in words is "one hundred ninety-three trillion, eight hundred forty-five billion, five hundred thirty-four million, one hundred seventy thousand, one hundred thirteen".

Divisors: 1 7 31 59 61 217 413 427 673 961 1829 1891 3599 4711 6727 11897 12803 13237 20863 25193 39707 41053 56699 58621 83279 111569 146041 277949 287371 368807 396893 410347 646753 701923 725717 780983 1230917 1272643 2422127 2581649 3458639 4527271 4913461 5080019 8006681 8616419 8908501 11433017 16954889 21759613 22497227 24210473 38158427 39451933 42817303 56046767 75085937 80031119 152317291 157480589 248207111 267108989 276163531 299721121 472394179 488407541 525601559 674548003 697414037 1327336393 1737449777 2327664047 3306759253 3418852787 4721836021 4881898259 7694420441 9291354751 14644219549 15140633771 16293648329 28816044919 41147428183 53860943087 102509536843 105984436397 201712314433 288031997281 453970806019 469359646901 893297392489 3177795642133 3285517528307 6253081747423 27692219167159 193845534170113