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99945346113 = 322331891391259
BaseRepresentation
bin101110100010100110…
…1001111010001000001
3100112222100210122012200
41131011031033101001
53114142002033423
6113525251343413
710135511265504
oct1350515172101
9315870718180
1099945346113
11394285a68a8
12174535b1b69
13956a3b4c72
144ba1ab513b
1528ee540d43
hex174534f441

99945346113 has 96 divisors (see below), whose sum is σ = 158505984000. Its totient is φ = 60497521920.

The previous prime is 99945346093. The next prime is 99945346139. The reversal of 99945346113 is 31164354999.

It is a happy number.

99945346113 is a `hidden beast` number, since 9 + 9 + 94 + 534 + 6 + 1 + 13 = 666.

It is not a de Polignac number, because 99945346113 - 212 = 99945342017 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 99945346113.

It is not an unprimeable number, because it can be changed into a prime (99945346913) 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 95 ways as a sum of consecutive naturals, for example, 79384078 + ... + 79385336.

It is an arithmetic number, because the mean of its divisors is an integer number (1651104000).

Almost surely, 299945346113 is an apocalyptic number.

99945346113 is a gapful number since it is divisible by the number (93) formed by its first and last digit.

It is an amenable number.

99945346113 is a deficient number, since it is larger than the sum of its proper divisors (58560637887).

99945346113 is a wasteful number, since it uses less digits than its factorization.

99945346113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1547 (or 1544 counting only the distinct ones).

The product of its digits is 3149280, while the sum is 54.

The spelling of 99945346113 in words is "ninety-nine billion, nine hundred forty-five million, three hundred forty-six thousand, one hundred thirteen".

Divisors: 1 3 9 23 31 69 89 93 139 207 267 279 417 713 801 1251 1259 2047 2139 2759 3197 3777 4309 6141 6417 8277 9591 11331 12371 12927 18423 24831 28773 28957 37113 38781 39029 63457 86871 99107 111339 112051 117087 175001 190371 260613 284533 297321 336153 351261 383501 525003 571113 853599 891963 897667 1008459 1150503 1575009 2560797 2577173 2693001 3451509 3473581 4025023 5425031 7731519 8079003 8820523 10420743 12075069 15575089 16275093 23194557 26461569 31262229 36225207 46725267 48825279 79384707 79892363 124775713 140175801 239677089 358227047 374327139 482827759 719031267 1074681141 1122981417 1448483277 3224043423 4345449831 11105038457 33315115371 99945346113