Search a number
-
+
99978051585 = 35191033405827
BaseRepresentation
bin101110100011100101…
…0000000000000000001
3100120001122100020200110
41131013022000000001
53114223340122320
6113532420341533
710136356262646
oct1350712000001
9316048306613
1099978051585
1139445004a15
12174625448a9
1395740c6509
144ba6189dcd
1529023515e0
hex1747280001

99978051585 has 32 divisors (see below), whose sum is σ = 170018933760. Its totient is φ = 50024772288.

The previous prime is 99978051577. The next prime is 99978051587. The reversal of 99978051585 is 58515087999.

It is a happy number.

It is not a de Polignac number, because 99978051585 - 23 = 99978051577 is a prime.

It is a super-2 number, since 2×999780515852 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (99978051587) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1673559 + ... + 1732268.

It is an arithmetic number, because the mean of its divisors is an integer number (5313091680).

It is a Proth number, since it is equal to 190693 ⋅ 219 + 1 and 190693 < 219.

Almost surely, 299978051585 is an apocalyptic number.

99978051585 is a gapful number since it is divisible by the number (95) formed by its first and last digit.

It is an amenable number.

99978051585 is a deficient number, since it is larger than the sum of its proper divisors (70040882175).

99978051585 is a wasteful number, since it uses less digits than its factorization.

99978051585 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3405957.

The product of its (nonzero) digits is 40824000, while the sum is 66.

The spelling of 99978051585 in words is "ninety-nine billion, nine hundred seventy-eight million, fifty-one thousand, five hundred eighty-five".

Divisors: 1 3 5 15 19 57 95 103 285 309 515 1545 1957 5871 9785 29355 3405827 10217481 17029135 51087405 64710713 194132139 323553565 350800181 970660695 1052400543 1754000905 5262002715 6665203439 19995610317 33326017195 99978051585