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199122686616 = 233710715117331
BaseRepresentation
bin1011100101110010100…
…0110001001010011000
3201000222012110112210010
42321130220301022120
511230300401432431
6231250430121520
720246305624020
oct2713450611230
9630865415703
10199122686616
11774a1624717
12327119502a0
1315a14639a29
1498cd78ca80
1552a6429846
hex2e5ca31298

199122686616 has 128 divisors (see below), whose sum is σ = 574697410560. Its totient is φ = 56315510400.

The previous prime is 199122686603. The next prime is 199122686681. The reversal of 199122686616 is 616686221991.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 27158071 + ... + 27165401.

It is an arithmetic number, because the mean of its divisors is an integer number (4489823520).

Almost surely, 2199122686616 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 199122686616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (287348705280).

199122686616 is an abundant number, since it is smaller than the sum of its proper divisors (375574723944).

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

199122686616 is a wasteful number, since it uses less digits than its factorization.

199122686616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8965 (or 8961 counting only the distinct ones).

The product of its digits is 3359232, while the sum is 57.

The spelling of 199122686616 in words is "one hundred ninety-nine billion, one hundred twenty-two million, six hundred eighty-six thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 107 168 214 321 428 642 749 856 1284 1498 1511 2247 2568 2996 3022 4494 4533 5992 6044 7331 8988 9066 10577 12088 14662 17976 18132 21154 21993 29324 31731 36264 42308 43986 51317 58648 63462 84616 87972 102634 126924 153951 161677 175944 205268 253848 307902 323354 410536 485031 615804 646708 784417 970062 1131739 1231608 1293416 1568834 1940124 2263478 2353251 3137668 3395217 3880248 4526956 4706502 5490919 6275336 6790434 9053912 9413004 10981838 11077141 13580868 16472757 18826008 21963676 22154282 27161736 32945514 33231423 43927352 44308564 65891028 66462846 77539987 88617128 131782056 132925692 155079974 232619961 265851384 310159948 465239922 620319896 930479844 1185254087 1860959688 2370508174 3555762261 4741016348 7111524522 8296778609 9482032696 14223049044 16593557218 24890335827 28446098088 33187114436 49780671654 66374228872 99561343308 199122686616