Search a number
-
+
106083878450 = 25211372140891
BaseRepresentation
bin110001011001100010…
…1111000011000110010
3101010211011112101112012
41202303011320120302
53214224433102300
6120422333402522
710443600042314
oct1426305703062
9333734471465
10106083878450
1140a98647020
1218687339442
13a008096014
1451c50657b4
152b5d3e0435
hex18b3178632

106083878450 has 72 divisors (see below), whose sum is σ = 221230309104. Its totient is φ = 37533096000.

The previous prime is 106083878387. The next prime is 106083878573. The reversal of 106083878450 is 54878380601.

It is a super-2 number, since 2×1060838784502 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (50).

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 682505 + ... + 823395.

It is an arithmetic number, because the mean of its divisors is an integer number (3072643182).

Almost surely, 2106083878450 is an apocalyptic number.

106083878450 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

106083878450 is an abundant number, since it is smaller than the sum of its proper divisors (115146430654).

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

106083878450 is a wasteful number, since it uses less digits than its factorization.

106083878450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140988 (or 140946 counting only the distinct ones).

The product of its (nonzero) digits is 1290240, while the sum is 50.

The spelling of 106083878450 in words is "one hundred six billion, eighty-three million, eight hundred seventy-eight thousand, four hundred fifty".

Divisors: 1 2 5 10 11 22 25 37 50 55 74 110 185 275 370 407 550 814 925 1369 1850 2035 2738 4070 6845 10175 13690 15059 20350 30118 34225 68450 75295 140891 150590 281782 376475 704455 752950 1408910 1549801 3099602 3522275 5212967 7044550 7749005 10425934 15498010 26064835 38745025 52129670 57342637 77490050 114685274 130324175 192879779 260648350 286713185 385759558 573426370 964398895 1433565925 1928797790 2121677569 2867131850 4243355138 4821994475 9643988950 10608387845 21216775690 53041939225 106083878450