Search a number
-
+
83950714080 = 2532558299107
BaseRepresentation
bin100111000101111011…
…0100011110011100000
322000200200002010212200
41032023312203303200
52333412340322310
6102322203053200
76031243203312
oct1161366436340
9260620063780
1083950714080
113266aa98042
121432ab11200
137bbb78b15c
1440c573d7b2
1522b525a9c0
hex138bda3ce0

83950714080 has 72 divisors (see below), whose sum is σ = 286481816712. Its totient is φ = 22386856704.

The previous prime is 83950714079. The next prime is 83950714087. The reversal of 83950714080 is 8041705938.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83950714087) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 29148114 + ... + 29150993.

It is an arithmetic number, because the mean of its divisors is an integer number (3978914121).

Almost surely, 283950714080 is an apocalyptic number.

83950714080 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

83950714080 is an abundant number, since it is smaller than the sum of its proper divisors (202531102632).

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

83950714080 is a wasteful number, since it uses less digits than its factorization.

83950714080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58299128 (or 58299117 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 83950714080 in words is "eighty-three billion, nine hundred fifty million, seven hundred fourteen thousand, eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 288 360 480 720 1440 58299107 116598214 174897321 233196428 291495535 349794642 466392856 524691963 582991070 699589284 874486605 932785712 1049383926 1165982140 1399178568 1748973210 1865571424 2098767852 2331964280 2623459815 2798357136 3497946420 4197535704 4663928560 5246919630 5596714272 6995892840 8395071408 9327857120 10493839260 13991785680 16790142816 20987678520 27983571360 41975357040 83950714080