Search a number
-
+
106637566421020 = 22543653189888469
BaseRepresentation
bin11000001111110001111110…
…010001000010100000011100
3111222120110012100120001101211
4120033301332101002200130
5102434122214000433040
61014444342142514204
731314211206623005
oct3017617621024034
9458513170501354
10106637566421020
1130a83813233268
12bb630a9295964
134766b57c70b1b
141c494001721ac
15c4dd4b6018ea
hex60fc7e44281c

106637566421020 has 48 divisors (see below), whose sum is σ = 229497685734240. Its totient is φ = 41599246461696.

The previous prime is 106637566420967. The next prime is 106637566421033. The reversal of 106637566421020 is 20124665736601.

It is a super-2 number, since 2×1066375664210202 (a number of 29 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 15 ways as a sum of consecutive naturals, for example, 94382655 + ... + 95505814.

It is an arithmetic number, because the mean of its divisors is an integer number (4781201786130).

Almost surely, 2106637566421020 is an apocalyptic number.

106637566421020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106637566421020 is an abundant number, since it is smaller than the sum of its proper divisors (122860119313220).

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

106637566421020 is a wasteful number, since it uses less digits than its factorization.

106637566421020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189889174 (or 189889172 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 49.

The spelling of 106637566421020 in words is "one hundred six trillion, six hundred thirty-seven billion, five hundred sixty-six million, four hundred twenty-one thousand, twenty".

Divisors: 1 2 4 5 10 20 43 86 172 215 430 653 860 1306 2612 3265 6530 13060 28079 56158 112316 140395 280790 561580 189888469 379776938 759553876 949442345 1898884690 3797769380 8165204167 16330408334 32660816668 40826020835 81652041670 123997170257 163304083340 247994340514 495988681028 619985851285 1239971702570 2479943405140 5331878321051 10663756642102 21327513284204 26659391605255 53318783210510 106637566421020