Search a number
-
+
12558098939742 = 233536189808229
BaseRepresentation
bin1011011010111110100100…
…0001101011111101011110
31122110112122111200202101000
42312233221001223331132
53121222441312032432
642413035551131130
72434202253513006
oct266575101537536
948415574622330
1012558098939742
11400195050a684
1214a9a15b13aa6
137012ba4824c5
14315b5add3006
1516b9e943957c
hexb6be906bf5e

12558098939742 has 128 divisors (see below), whose sum is σ = 29224303632000. Its totient is φ = 3994327434240.

The previous prime is 12558098939723. The next prime is 12558098939809. The reversal of 12558098939742 is 24793989085521.

12558098939742 is a `hidden beast` number, since 1 + 2 + 5 + 580 + 9 + 8 + 9 + 39 + 7 + 4 + 2 = 666.

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 15133684 + ... + 15941912.

It is an arithmetic number, because the mean of its divisors is an integer number (228314872125).

Almost surely, 212558098939742 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12558098939742, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14612151816000).

12558098939742 is an abundant number, since it is smaller than the sum of its proper divisors (16666204692258).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12558098939742 is a wasteful number, since it uses less digits than its factorization.

12558098939742 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 808443 (or 808437 counting only the distinct ones).

The product of its (nonzero) digits is 391910400, while the sum is 72.

The spelling of 12558098939742 in words is "twelve trillion, five hundred fifty-eight billion, ninety-eight million, nine hundred thirty-nine thousand, seven hundred forty-two".

Divisors: 1 2 3 6 9 18 27 53 54 61 89 106 122 159 178 183 267 318 366 477 534 549 801 954 1098 1431 1602 1647 2403 2862 3233 3294 4717 4806 5429 6466 9434 9699 10858 14151 16287 19398 28302 29097 32574 42453 48861 58194 84906 87291 97722 127359 146583 174582 254718 287737 293166 575474 808229 863211 1616458 1726422 2424687 2589633 4849374 5179266 7274061 7768899 14548122 15537798 21822183 42836137 43644366 49301969 71932381 85672274 98603938 128508411 143864762 147905907 215797143 257016822 295811814 385525233 431594286 443717721 647391429 771050466 887435442 1156575699 1294782858 1331153163 1942174287 2313151398 2613004357 2662306326 3812416193 3884348574 4387875241 5226008714 7624832386 7839013071 8775750482 11437248579 13163625723 15678026142 22874497158 23517039213 26327251446 34311745737 39490877169 47034078426 68623491474 70551117639 78981754338 102935237211 118472631507 141102235278 205870474422 232557387773 236945263014 465114775546 697672163319 1395344326638 2093016489957 4186032979914 6279049469871 12558098939742