Search a number
-
+
83078526006 = 23271738785493
BaseRepresentation
bin100110101011111011…
…1011011010000110110
321221102212220101202200
41031113313123100312
52330121100313011
6102055445045330
76000522551040
oct1152767332066
9257385811680
1083078526006
1132262731253
12141269b6846
137aacb81838
144041982a90
1522638c4856
hex1357ddb436

83078526006 has 48 divisors (see below), whose sum is σ = 217819334304. Its totient is φ = 22340443392.

The previous prime is 83078525987. The next prime is 83078526007. The reversal of 83078526006 is 60062587038.

83078526006 is a `hidden beast` number, since 8 + 30 + 7 + 8 + 5 + 2 + 600 + 6 = 666.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83078526007) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19390605 + ... + 19394888.

It is an arithmetic number, because the mean of its divisors is an integer number (4537902798).

Almost surely, 283078526006 is an apocalyptic number.

83078526006 is an abundant number, since it is smaller than the sum of its proper divisors (134740808298).

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

83078526006 is a wasteful number, since it uses less digits than its factorization.

83078526006 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38785525 (or 38785522 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 83078526006 in words is "eighty-three billion, seventy-eight million, five hundred twenty-six thousand, six".

Divisors: 1 2 3 6 7 9 14 17 18 21 34 42 51 63 102 119 126 153 238 306 357 714 1071 2142 38785493 77570986 116356479 232712958 271498451 349069437 542996902 659353381 698138874 814495353 1318706762 1628990706 1978060143 2443486059 3956120286 4615473667 4886972118 5934180429 9230947334 11868360858 13846421001 27692842002 41539263003 83078526006