Search a number
-
+
9999953243875 = 537197326930631
BaseRepresentation
bin1001000110000100101110…
…1010010010111011100011
31022101222121221020210111001
42101201023222102323203
52302314401012301000
633133525354532431
72051321110050130
oct221411352227343
938358557223431
109999953243875
113205a579a94a1
121156084137117
13576cb756778a
14268000c3b587
151251c5ca946a
hex9184ba92ee3

9999953243875 has 128 divisors (see below), whose sum is σ = 15276202905600. Its totient is φ = 6383193984000.

The previous prime is 9999953243821. The next prime is 9999953243887. The reversal of 9999953243875 is 5783423599999.

9999953243875 is a nontrivial binomial coefficient, being equal to C(4472126, 2).

It is not a de Polignac number, because 9999953243875 - 215 = 9999953211107 is a prime.

It is a super-2 number, since 2×99999532438752 (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 326449810 + ... + 326480440.

It is an arithmetic number, because the mean of its divisors is an integer number (119345335200).

Almost surely, 29999953243875 is an apocalyptic number.

9999953243875 is a gapful number since it is divisible by the number (95) formed by its first and last digit.

9999953243875 is the 4472125-th triangular number and also the 2236063-rd hexagonal number.

9999953243875 is the 1490709-th centered nonagonal number.

9999953243875 is a deficient number, since it is larger than the sum of its proper divisors (5276249661725).

9999953243875 is a wasteful number, since it uses less digits than its factorization.

9999953243875 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31014 (or 31004 counting only the distinct ones).

The product of its digits is 5952139200, while the sum is 82.

The spelling of 9999953243875 in words is "nine trillion, nine hundred ninety-nine billion, nine hundred fifty-three million, two hundred forty-three thousand, eight hundred seventy-five".

Divisors: 1 5 7 19 25 35 73 95 125 133 175 269 365 475 511 665 875 1345 1387 1825 1883 2375 2555 3325 5111 6725 6935 9125 9415 9709 12775 16625 19637 25555 30631 33625 34675 35777 47075 48545 63875 98185 127775 137459 153155 173375 178885 214417 235375 242725 373103 490925 581989 638875 687295 765775 894425 1072085 1213625 1865515 2236063 2454625 2611721 2909945 3436475 3828875 4073923 4472125 5360425 8239739 9327575 11180315 13058605 14549725 15652441 17182375 20369615 26802125 41198695 42485197 46637875 55901575 57678173 65293025 72748625 78262205 101848075 156555041 205993475 212425985 279507875 288390865 297396379 326465125 391311025 509240375 601500947 782775205 1029967375 1062129925 1095885287 1441954325 1486981895 1956555125 3007504735 3913876025 4210506629 5310649625 5479426435 7209771625 7434909475 11428517993 15037523675 19569380125 21052533145 27397132175 37174547375 57142589965 75187618375 79999625951 105262665725 136985660875 285712949825 399998129755 526313328625 1428564749125 1999990648775 9999953243875