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10714389984 = 2532221316811
BaseRepresentation
bin10011111101010000…
…01001110111100000
31000122201000101221200
421332220021313200
5133420340434414
64531102321200
7526340545404
oct117650116740
930581011850
1010714389984
1145a8aa2861
1220b0289200
1310199c763c
14738da5104
1542a974109
hex27ea09de0

10714389984 has 72 divisors (see below), whose sum is σ = 30484627992. Its totient is φ = 3569637120.

The previous prime is 10714389929. The next prime is 10714390003. The reversal of 10714389984 is 48998341701.

10714389984 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 (72).

It is a super-3 number, since 3×107143899843 (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 10714389984.

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 11 ways as a sum of consecutive naturals, for example, 628939 + ... + 645749.

It is an arithmetic number, because the mean of its divisors is an integer number (423397611).

Almost surely, 210714389984 is an apocalyptic number.

It is an amenable number.

10714389984 is an abundant number, since it is smaller than the sum of its proper divisors (19770238008).

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

10714389984 is a wasteful number, since it uses less digits than its factorization.

10714389984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19040 (or 19029 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 54.

The spelling of 10714389984 in words is "ten billion, seven hundred fourteen million, three hundred eighty-nine thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 2213 4426 6639 8852 13278 16811 17704 19917 26556 33622 35408 39834 50433 53112 67244 70816 79668 100866 106224 134488 151299 159336 201732 212448 268976 302598 318672 403464 537952 605196 637344 806928 1210392 1613856 2420784 4841568 37202743 74405486 111608229 148810972 223216458 297621944 334824687 446432916 595243888 669649374 892865832 1190487776 1339298748 1785731664 2678597496 3571463328 5357194992 10714389984