Search a number
-
+
99979335355393 = 1329276953957553
BaseRepresentation
bin10110101110111001000000…
…110001001100110000000001
3111002222221010210010211001001
4112232321000301030300001
5101101030134322333033
6552345512251412001
730026161063436044
oct2656710061146001
9432887123124031
1099979335355393
1129946aa839689a
12b2687b9154001
1343a301ab5a6a0
141a99050556c5b
15b85a5a516e7d
hex5aee40c4cc01

99979335355393 has 16 divisors (see below), whose sum is σ = 111383332416720. Its totient is φ = 89105836345344.

The previous prime is 99979335355379. The next prime is 99979335355409. The reversal of 99979335355393 is 39355353397999.

It can be written as a sum of positive squares in 8 ways, for example, as 1054271007729 + 98925064347664 = 1026777^2 + 9946108^2 .

It is a de Polignac number, because none of the positive numbers 2k-99979335355393 is a prime.

It is a super-2 number, since 2×999793353553932 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (99979035355393) 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 15 ways as a sum of consecutive naturals, for example, 103932505 + ... + 104890057.

It is an arithmetic number, because the mean of its divisors is an integer number (6961458276045).

Almost surely, 299979335355393 is an apocalyptic number.

It is an amenable number.

99979335355393 is a deficient number, since it is larger than the sum of its proper divisors (11403997061327).

99979335355393 is a wasteful number, since it uses less digits than its factorization.

99979335355393 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1234548.

The product of its digits is 12555293625, while the sum is 82.

The spelling of 99979335355393 in words is "ninety-nine trillion, nine hundred seventy-nine billion, three hundred thirty-five million, three hundred fifty-five thousand, three hundred ninety-three".

Divisors: 1 13 29 377 276953 957553 3600389 8031637 12448189 27769037 104411281 360997481 265197176009 3447563288117 7690718104261 99979335355393