Search a number
-
+
263428375616 = 2673136715167
BaseRepresentation
bin1111010101010110001…
…1100000010001000000
3221011221202222000110022
43311111203200101000
513304000131004431
6321003424153012
725014000150620
oct3652543402100
9834852860408
10263428375616
11a17a04a563a
1243079768768
131bac2128993
14ca7000a880
156cbbb8707b
hex3d558e0440

263428375616 has 112 divisors (see below), whose sum is σ = 616976842752. Its totient is φ = 109205107200.

The previous prime is 263428375603. The next prime is 263428375627. The reversal of 263428375616 is 616573824362.

It is a tau number, because it is divible by the number of its divisors (112).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 50980265 + ... + 50985431.

Almost surely, 2263428375616 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 263428375616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (308488421376).

263428375616 is an abundant number, since it is smaller than the sum of its proper divisors (353548467136).

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

263428375616 is a wasteful number, since it uses less digits than its factorization.

263428375616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8888 (or 8878 counting only the distinct ones).

The product of its digits is 8709120, while the sum is 53.

The spelling of 263428375616 in words is "two hundred sixty-three billion, four hundred twenty-eight million, three hundred seventy-five thousand, six hundred sixteen".

Divisors: 1 2 4 7 8 14 16 28 31 32 56 62 64 112 124 217 224 248 434 448 496 868 992 1736 1984 3472 3671 5167 6944 7342 10334 13888 14684 20668 25697 29368 36169 41336 51394 58736 72338 82672 102788 113801 117472 144676 160177 165344 205576 227602 234944 289352 320354 330688 411152 455204 578704 640708 796607 822304 910408 1121239 1157408 1281416 1593214 1644608 1820816 2242478 2314816 2562832 3186428 3641632 4484956 5125664 6372856 7283264 8969912 10251328 12745712 17939824 18968057 25491424 35879648 37936114 50982848 71759296 75872228 132776399 151744456 265552798 303488912 531105596 588009767 606977824 1062211192 1176019534 1213955648 2124422384 2352039068 4116068369 4248844768 4704078136 8232136738 8497689536 9408156272 16464273476 18816312544 32928546952 37632625088 65857093904 131714187808 263428375616