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10997395680 = 253542154421
BaseRepresentation
bin10100011110111111…
…01111000011100000
31001101102112120210010
422033133233003200
5140010313130210
65015132204520
7536345215035
oct121737570340
931342476703
1010997395680
11473381a167
12216b009740
13106352512b
147647d338c
15445727920
hex28f7ef0e0

10997395680 has 96 divisors (see below), whose sum is σ = 34724719008. Its totient is φ = 2925619200.

The previous prime is 10997395667. The next prime is 10997395777. The reversal of 10997395680 is 8659379901.

It is a tau number, because it is divible by the number of its divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 10997395680.

It is a congruent number.

It is an unprimeable number.

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, 174870 + ... + 229290.

It is an arithmetic number, because the mean of its divisors is an integer number (361715823).

Almost surely, 210997395680 is an apocalyptic number.

10997395680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10997395680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17362359504).

10997395680 is an abundant number, since it is smaller than the sum of its proper divisors (23727323328).

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

10997395680 is a wasteful number, since it uses less digits than its factorization.

10997395680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54860 (or 54852 counting only the distinct ones).

The product of its (nonzero) digits is 3674160, while the sum is 57.

The spelling of 10997395680 in words is "ten billion, nine hundred ninety-seven million, three hundred ninety-five thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 421 480 842 1263 1684 2105 2526 3368 4210 5052 6315 6736 8420 10104 12630 13472 16840 20208 25260 33680 40416 50520 54421 67360 101040 108842 163263 202080 217684 272105 326526 435368 544210 653052 816315 870736 1088420 1306104 1632630 1741472 2176840 2612208 3265260 4353680 5224416 6530520 8707360 13061040 22911241 26122080 45822482 68733723 91644964 114556205 137467446 183289928 229112410 274934892 343668615 366579856 458224820 549869784 687337230 733159712 916449640 1099739568 1374674460 1832899280 2199479136 2749348920 3665798560 5498697840 10997395680