Search a number
-
+
90235055032143 = 3737160180938963
BaseRepresentation
bin10100100001000101111100…
…011001101100011101001111
3102211111101110010121002210120
4110201011330121230131033
543311402343042012033
6515525224554440023
725002160532341560
oct2441057431543517
9384441403532716
1090235055032143
112682a5211628aa
12a1541a9433013
133b4718aa5b278
14183d585718167
15a6734a6021b3
hex52117c66c74f

90235055032143 has 64 divisors (see below), whose sum is σ = 141338713715712. Its totient is φ = 50126172364800.

The previous prime is 90235055032139. The next prime is 90235055032181. The reversal of 90235055032143 is 34123055053209.

It is a happy number.

It is not a de Polignac number, because 90235055032143 - 22 = 90235055032139 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 90235055032095 and 90235055032104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90235055032043) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10067501380 + ... + 10067510342.

It is an arithmetic number, because the mean of its divisors is an integer number (2208417401808).

Almost surely, 290235055032143 is an apocalyptic number.

90235055032143 is a deficient number, since it is larger than the sum of its proper divisors (51103658683569).

90235055032143 is a wasteful number, since it uses less digits than its factorization.

90235055032143 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18704.

The product of its (nonzero) digits is 486000, while the sum is 42.

The spelling of 90235055032143 in words is "ninety trillion, two hundred thirty-five billion, fifty-five million, thirty-two thousand, one hundred forty-three".

Divisors: 1 3 7 21 37 111 259 777 1601 4803 8093 8963 11207 24279 26889 33621 56651 59237 62741 169953 177711 188223 299441 331631 414659 898323 994893 1243977 2096087 2321417 6288261 6964251 12956893 14349763 38870679 43049289 72537559 90698251 100448341 217612677 272094753 301345023 479405041 507762913 530941231 1438215123 1523288739 1592823693 2683889683 3355835287 3716588617 8051669049 10067505861 11149765851 18787227781 56361683343 116132631959 348397895877 812928423713 2438785271139 4296907382483 12890722147449 30078351677381 90235055032143