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10716690720 = 2535155914321
BaseRepresentation
bin10011111101100001…
…11011100100100000
31000122212100021222010
421332300323210200
5133421433100340
64531223512520
7526366240161
oct117660734440
930585307863
1010716690720
1145aa32439a
1220b0bb8740
13101a321918
14739403768
1542ac7ab80
hex27ec3b920

10716690720 has 96 divisors (see below), whose sum is σ = 33781587840. Its totient is φ = 2855751680.

The previous prime is 10716690709. The next prime is 10716690737. The reversal of 10716690720 is 2709661701.

10716690720 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a super-2 number, since 2×107166907202 (a number of 21 digits) contains 22 as substring.

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 15 ways as a sum of consecutive naturals, for example, 741160 + ... + 755480.

It is an arithmetic number, because the mean of its divisors is an integer number (351891540).

Almost surely, 210716690720 is an apocalyptic number.

10716690720 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10716690720 is an abundant number, since it is smaller than the sum of its proper divisors (23064897120).

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

10716690720 is a wasteful number, since it uses less digits than its factorization.

10716690720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15898 (or 15890 counting only the distinct ones).

The product of its (nonzero) digits is 31752, while the sum is 39.

The spelling of 10716690720 in words is "ten billion, seven hundred sixteen million, six hundred ninety thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 1559 3118 4677 6236 7795 9354 12472 14321 15590 18708 23385 24944 28642 31180 37416 42963 46770 49888 57284 62360 71605 74832 85926 93540 114568 124720 143210 149664 171852 187080 214815 229136 249440 286420 343704 374160 429630 458272 572840 687408 748320 859260 1145680 1374816 1718520 2291360 3437040 6874080 22326439 44652878 66979317 89305756 111632195 133958634 178611512 223264390 267917268 334896585 357223024 446528780 535834536 669793170 714446048 893057560 1071669072 1339586340 1786115120 2143338144 2679172680 3572230240 5358345360 10716690720