Search a number
-
+
293420497896 = 233317233474241
BaseRepresentation
bin1000100010100010011…
…10010111101111101000
31001001100222102200122000
410101101032113233220
514301411121413041
6342443455331000
730125143036431
oct4212116275750
91031328380560
10293420497896
11103491248a59
1248a49b20a60
13218919931b6
14102b73a4488
157974c56bb6
hex4451397be8

293420497896 has 128 divisors (see below), whose sum is σ = 900523526400. Its totient is φ = 88051138560.

The previous prime is 293420497861. The next prime is 293420497897. The reversal of 293420497896 is 698794024392.

293420497896 is a `hidden beast` number, since 2 + 9 + 34 + 20 + 497 + 8 + 96 = 666.

It is not an unprimeable number, because it can be changed into a prime (293420497897) by changing a digit.

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, 1652665 + ... + 1821576.

It is an arithmetic number, because the mean of its divisors is an integer number (7035340050).

Almost surely, 2293420497896 is an apocalyptic number.

It is an amenable number.

293420497896 is an abundant number, since it is smaller than the sum of its proper divisors (607103028504).

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

293420497896 is a wasteful number, since it uses less digits than its factorization.

293420497896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3474296 (or 3474286 counting only the distinct ones).

The product of its (nonzero) digits is 47029248, while the sum is 63.

The spelling of 293420497896 in words is "two hundred ninety-three billion, four hundred twenty million, four hundred ninety-seven thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 17 18 23 24 27 34 36 46 51 54 68 69 72 92 102 108 136 138 153 184 204 207 216 276 306 391 408 414 459 552 612 621 782 828 918 1173 1224 1242 1564 1656 1836 2346 2484 3128 3519 3672 4692 4968 7038 9384 10557 14076 21114 28152 42228 84456 3474241 6948482 10422723 13896964 20845446 27793928 31268169 41690892 59062097 62536338 79907543 83381784 93804507 118124194 125072676 159815086 177186291 187609014 236248388 239722629 250145352 319630172 354372582 375218028 472496776 479445258 531558873 639260344 708745164 719167887 750436056 958890516 1063117746 1358428231 1417490328 1438335774 1594676619 1917781032 2126235492 2157503661 2716856462 2876671548 3189353238 4075284693 4252470984 4315007322 5433712924 5753343096 6378706476 8150569386 8630014644 10867425848 12225854079 12757412952 16301138772 17260029288 24451708158 32602277544 36677562237 48903416316 73355124474 97806832632 146710248948 293420497896