Search a number
-
+
118805080948928 = 26111936712419493
BaseRepresentation
bin11011000000110101110110…
…101001011100000011000000
3120120122122200100202212120122
4123000311312221130003000
5111033000301210331203
61100402144542355412
734011245441633243
oct3300656651340300
9516578610685518
10118805080948928
1134944a51a54270
12113a927928bb68
13513a36a6a3b2a
14214a2a767925a
15db05d5a61538
hex6c0d76a5c0c0

118805080948928 has 112 divisors (see below), whose sum is σ = 270795962384640. Its totient is φ = 51146125286400.

The previous prime is 118805080948927. The next prime is 118805080948943. The reversal of 118805080948928 is 829849080508811.

It is a super-2 number, since 2×1188050809489282 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (118805080948927) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 47893550 + ... + 50313042.

It is an arithmetic number, because the mean of its divisors is an integer number (2417821092720).

Almost surely, 2118805080948928 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 118805080948928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135397981192320).

118805080948928 is an abundant number, since it is smaller than the sum of its proper divisors (151990881435712).

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

118805080948928 is a wasteful number, since it uses less digits than its factorization.

118805080948928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2423206 (or 2423196 counting only the distinct ones).

The product of its (nonzero) digits is 106168320, while the sum is 71.

The spelling of 118805080948928 in words is "one hundred eighteen trillion, eight hundred five billion, eighty million, nine hundred forty-eight thousand, nine hundred twenty-eight".

Divisors: 1 2 4 8 11 16 19 22 32 38 44 64 76 88 152 176 209 304 352 418 608 704 836 1216 1672 3344 3671 6688 7342 13376 14684 29368 40381 58736 69749 80762 117472 139498 161524 234944 278996 323048 557992 646096 767239 1115984 1292192 1534478 2231968 2419493 2584384 3068956 4463936 4838986 6137912 9677972 12275824 19355944 24551648 26614423 38711888 45970367 49103296 53228846 77423776 91940734 106457692 154847552 183881468 212915384 367762936 425830768 505674037 735525872 851661536 1011348074 1471051744 1703323072 2022696148 2942103488 4045392296 8090784592 8881958803 16181569184 17763917606 32363138368 35527835212 71055670424 97701546833 142111340848 168757217257 195403093666 284222681696 337514434514 390806187332 568445363392 675028869028 781612374664 1350057738056 1563224749328 1856329389827 2700115476112 3126449498656 3712658779654 5400230952224 6252898997312 7425317559308 10800461904448 14850635118616 29701270237232 59402540474464 118805080948928