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99609040881 = 32741921132
BaseRepresentation
bin101110011000100101…
…0010101011111110001
3100112002220222120011100
41130301022111133301
53112444403302011
6113432035235013
710124255610000
oct1346112253761
9315086876140
1099609040881
1139275785799
121737aa48a69
13951581529c
144b6d170c37
1528cec5ed56
hex17312957f1

99609040881 has 135 divisors (see below), whose sum is σ = 178730406699. Its totient is φ = 53446490496.

The previous prime is 99609040879. The next prime is 99609040943. The reversal of 99609040881 is 18804090699.

The square root of 99609040881 is 315609.

It is a perfect power (a square), and thus also a powerful number.

99609040881 is a `hidden beast` number, since 99 + 60 + 90 + 408 + 8 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1755191025 + 97853849856 = 41895^2 + 312816^2 .

It is not a de Polignac number, because 99609040881 - 21 = 99609040879 is a prime.

It is a super-2 number, since 2×996090408812 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (99609040801) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 881495881 + ... + 881495993.

Almost surely, 299609040881 is an apocalyptic number.

99609040881 is the 315609-th square number.

99609040881 is the 157805-th centered octagonal number.

It is an amenable number.

99609040881 is a deficient number, since it is larger than the sum of its proper divisors (79121365818).

99609040881 is an equidigital number, since it uses as much as digits as its factorization.

99609040881 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 298 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 1119744, while the sum is 54.

The spelling of 99609040881 in words is "ninety-nine billion, six hundred nine million, forty thousand, eight hundred eighty-one".

Divisors: 1 3 7 9 19 21 49 57 63 113 133 147 171 339 343 361 399 441 791 931 1017 1029 1083 1197 2147 2373 2401 2527 2793 3087 3249 5537 6441 6517 7119 7203 7581 8379 12769 15029 16611 17689 19323 19551 21609 22743 38307 38759 40793 45087 45619 49833 53067 58653 89383 105203 114921 116277 122379 123823 135261 136857 159201 242611 268149 271313 285551 315609 348831 367137 371469 410571 625681 727833 736421 804447 813939 856653 866761 946827 1114407 1698277 1877043 1998857 2183499 2209263 2441817 2569959 2600283 4379767 4609609 5094831 5154947 5631129 5996571 6627789 7800849 11887939 13139301 13828827 13991999 15284493 15464841 17989713 30658369 32267263 35663817 39417903 41486481 41975997 46394523 83215573 91975107 96801789 97943993 106991451 125927991 225870841 249646719 275925321 290405367 293831979 582509011 677612523 748940157 881495937 1581095887 1747527033 2032837569 4743287661 5242581099 11067671209 14229862983 33203013627 99609040881