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6166727974960 = 245729617615437
BaseRepresentation
bin101100110111100110110…
…1000010110000000110000
3210211112101212122020110221
41121233031220112000300
51302013424330144320
621040542234102424
71204350160626550
oct131571550260060
923745355566427
106166727974960
111a683271a27a3
128371a087aa14
1335969b44ab97
1417468508d160
15aa6264093aa
hex59bcda16030

6166727974960 has 160 divisors (see below), whose sum is σ = 16978408133760. Its totient is φ = 2038087704576.

The previous prime is 6166727974951. The next prime is 6166727974973. The reversal of 6166727974960 is 694797276616.

It is a Harshad number since it is a multiple of its sum of digits (70).

It is a self number, because there is not a number n which added to its sum of digits gives 6166727974960.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 9712362 + ... + 10327798.

It is an arithmetic number, because the mean of its divisors is an integer number (106115050836).

Almost surely, 26166727974960 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6166727974960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8489204066880).

6166727974960 is an abundant number, since it is smaller than the sum of its proper divisors (10811680158800).

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

6166727974960 is a wasteful number, since it uses less digits than its factorization.

6166727974960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 616103 (or 616097 counting only the distinct ones).

The product of its (nonzero) digits is 288054144, while the sum is 70.

The spelling of 6166727974960 in words is "six trillion, one hundred sixty-six billion, seven hundred twenty-seven million, nine hundred seventy-four thousand, nine hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 29 35 40 56 58 70 80 112 116 140 145 203 232 280 290 406 464 560 580 617 812 1015 1160 1234 1624 2030 2320 2468 3085 3248 4060 4319 4936 6170 8120 8638 9872 12340 16240 17276 17893 21595 24680 34552 35786 43190 49360 69104 71572 86380 89465 125251 143144 172760 178930 250502 286288 345520 357860 501004 615437 626255 715720 1002008 1230874 1252510 1431440 2004016 2461748 2505020 3077185 4308059 4923496 5010040 6154370 8616118 9846992 10020080 12308740 17232236 17847673 21540295 24617480 34464472 35695346 43080590 49234960 68928944 71390692 86161180 89238365 124933711 142781384 172322360 178476730 249867422 285562768 344644720 356953460 379724629 499734844 624668555 713906920 759449258 999469688 1249337110 1427813840 1518898516 1898623145 1998939376 2498674220 2658072403 3037797032 3797246290 4997348440 5316144806 6075594064 7594492580 9994696880 10632289612 11012014241 13290362015 15188985160 21264579224 22024028482 26580724030 30377970320 42529158448 44048056964 53161448060 55060071205 77084099687 88096113928 106322896120 110120142410 154168199374 176192227856 212645792240 220240284820 308336398748 385420498435 440480569640 616672797496 770840996870 880961139280 1233345594992 1541681993740 3083363987480 6166727974960