Search a number
-
+
99799436430 = 232546714331657
BaseRepresentation
bin101110011110010000…
…0101000110010001110
3100112121012020122202100
41130330200220302032
53113342123431210
6113503000135530
710132060133031
oct1347440506216
9315535218670
1099799436430
11393631a8791
12174127675a6
1395460b8a85
144b8a573018
1528e181d5c0
hex173c828c8e

99799436430 has 96 divisors (see below), whose sum is σ = 260372664864. Its totient is φ = 26521648128.

The previous prime is 99799436357. The next prime is 99799436431. The reversal of 99799436430 is 3463499799.

99799436430 is a `hidden beast` number, since 99 + 79 + 9 + 43 + 6 + 430 = 666.

99799436430 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×997994364302 (a number of 23 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (99799436431) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 60228162 + ... + 60229818.

It is an arithmetic number, because the mean of its divisors is an integer number (2712215259).

Almost surely, 299799436430 is an apocalyptic number.

99799436430 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

99799436430 is the 257940-th pentagonal number.

99799436430 is an abundant number, since it is smaller than the sum of its proper divisors (160573228434).

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

99799436430 is a wasteful number, since it uses less digits than its factorization.

99799436430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3570 (or 3567 counting only the distinct ones).

The product of its (nonzero) digits is 39680928, while the sum is 63.

The spelling of 99799436430 in words is "ninety-nine billion, seven hundred ninety-nine million, four hundred thirty-six thousand, four hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 467 934 1401 1433 1657 2335 2802 2866 3314 4203 4299 4670 4971 7005 7165 8285 8406 8598 9942 12897 14010 14330 14913 16570 21015 21495 24855 25794 29826 42030 42990 49710 64485 74565 128970 149130 669211 773819 1338422 1547638 2007633 2321457 2374481 3346055 3869095 4015266 4642914 4748962 6022899 6692110 6964371 7123443 7738190 10038165 11607285 11872405 12045798 13928742 14246886 20076330 21370329 23214570 23744810 30114495 34821855 35617215 42740658 60228990 69643710 71234430 106851645 213703290 1108882627 2217765254 3326647881 5544413135 6653295762 9979943643 11088826270 16633239405 19959887286 33266478810 49899718215 99799436430