Search a number
-
+
91998348584925 = 35219311207589211
BaseRepresentation
bin10100111010110000001000…
…111000110010011111011101
3110001201221211002111112211010
4110322300020320302133131
544024300104214204200
6523355242523045433
725243442561262546
oct2472601070623735
9401657732445733
1091998348584925
112734a30a4253a2
12a399a90970879
133c4453a386803
1418a0a5b0d74cd
15a9814c8a1150
hex53ac08e327dd

91998348584925 has 48 divisors (see below), whose sum is σ = 160624228677120. Its totient is φ = 46333911672000.

The previous prime is 91998348584921. The next prime is 91998348584971. The reversal of 91998348584925 is 52948584389919.

It is not a de Polignac number, because 91998348584925 - 22 = 91998348584921 is a prime.

It is a super-3 number, since 3×919983485849253 (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (91998348584921) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 103351431 + ... + 104237780.

It is an arithmetic number, because the mean of its divisors is an integer number (3346338097440).

Almost surely, 291998348584925 is an apocalyptic number.

91998348584925 is a gapful number since it is divisible by the number (95) formed by its first and last digit.

It is an amenable number.

91998348584925 is a deficient number, since it is larger than the sum of its proper divisors (68625880092195).

91998348584925 is a wasteful number, since it uses less digits than its factorization.

91998348584925 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 207589554 (or 207589549 counting only the distinct ones).

The product of its digits is 8062156800, while the sum is 84.

The spelling of 91998348584925 in words is "ninety-one trillion, nine hundred ninety-eight billion, three hundred forty-eight million, five hundred eighty-four thousand, nine hundred twenty-five".

Divisors: 1 3 5 15 19 25 57 75 95 285 311 475 933 1425 1555 4665 5909 7775 17727 23325 29545 88635 147725 443175 207589211 622767633 1037946055 3113838165 3944195009 5189730275 11832585027 15569190825 19720975045 59162925135 64560244621 98604875225 193680733863 295814625675 322801223105 968403669315 1226644647799 1614006115525 3679933943397 4842018346575 6133223238995 18399669716985 30666116194975 91998348584925