Search a number
-
+
106606521580 = 22513237223039
BaseRepresentation
bin110001101001000111…
…1100110110011101100
3101012011120222102010011
41203102033212303230
53221312232142310
6120550243423004
710462544324236
oct1432217466354
9335146872104
10106606521580
1141236669599
12187b2384a64
13a08c448600
145234633256
152b8e22c78a
hex18d23e6cec

106606521580 has 108 divisors (see below), whose sum is σ = 249159214080. Its totient is φ = 38296896768.

The previous prime is 106606521577. The next prime is 106606521599. The reversal of 106606521580 is 85125606601.

It is a super-2 number, since 2×1066065215802 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4615701 + ... + 4638739.

It is an arithmetic number, because the mean of its divisors is an integer number (2307029760).

Almost surely, 2106606521580 is an apocalyptic number.

106606521580 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106606521580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124579607040).

106606521580 is an abundant number, since it is smaller than the sum of its proper divisors (142552692500).

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

106606521580 is a wasteful number, since it uses less digits than its factorization.

106606521580 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23148 (or 23096 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 40.

The spelling of 106606521580 in words is "one hundred six billion, six hundred six million, five hundred twenty-one thousand, five hundred eighty".

Divisors: 1 2 4 5 10 13 20 26 37 52 65 74 130 148 169 185 260 338 370 481 676 740 845 962 1369 1690 1924 2405 2738 3380 4810 5476 6253 6845 9620 12506 13690 17797 23039 25012 27380 31265 35594 46078 62530 71188 88985 92156 115195 125060 177970 230390 231361 299507 355940 460780 462722 599014 852443 925444 1156805 1198028 1497535 1704886 2313610 2995070 3409772 3893591 4262215 4627220 5990140 7787182 8524430 11081759 15574364 17048860 19467955 22163518 31540391 38935910 44327036 55408795 63080782 77871820 110817590 126161564 144062867 157701955 221635180 288125734 315403910 410025083 576251468 630807820 720314335 820050166 1440628670 1640100332 2050125415 2881257340 4100250830 5330326079 8200501660 10660652158 21321304316 26651630395 53303260790 106606521580