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10997684472 = 23317433971579
BaseRepresentation
bin10100011111000001…
…10101100011111000
31001101110002020221010
422033200311203320
5140010401400342
65015142313520
7536350530015
oct121740654370
931343066833
1010997684472
1147339a7135
12216b1288a0
1310635c6708
1476486a70c
1544578329c
hex28f8358f8

10997684472 has 128 divisors (see below), whose sum is σ = 29882476800. Its totient is φ = 3359397888.

The previous prime is 10997684461. The next prime is 10997684497. The reversal of 10997684472 is 27448679901.

It is a happy number.

10997684472 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 6964179 + ... + 6965757.

It is an arithmetic number, because the mean of its divisors is an integer number (233456850).

Almost surely, 210997684472 is an apocalyptic number.

10997684472 is a gapful number since it is divisible by the number (12) 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 10997684472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14941238400).

10997684472 is an abundant number, since it is smaller than the sum of its proper divisors (18884792328).

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

10997684472 is a wasteful number, since it uses less digits than its factorization.

10997684472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2045 (or 2041 counting only the distinct ones).

The product of its (nonzero) digits is 6096384, while the sum is 57.

The spelling of 10997684472 in words is "ten billion, nine hundred ninety-seven million, six hundred eighty-four thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 17 24 34 43 51 68 86 102 129 136 172 204 258 344 397 408 516 731 794 1032 1191 1462 1579 1588 2193 2382 2924 3158 3176 4386 4737 4764 5848 6316 6749 8772 9474 9528 12632 13498 17071 17544 18948 20247 26843 26996 34142 37896 40494 51213 53686 53992 67897 68284 80529 80988 102426 107372 135794 136568 161058 161976 203691 204852 214744 271588 290207 322116 407382 409704 543176 580414 626863 644232 814764 870621 1154249 1160828 1253726 1629528 1741242 1880589 2308498 2321656 2507452 3462747 3482484 3761178 4616996 5014904 6925494 6964968 7522356 9233992 10656671 13850988 15044712 21313342 26955109 27701976 31970013 42626684 53910218 63940026 80865327 85253368 107820436 127880052 161730654 215640872 255760104 323461308 458236853 646922616 916473706 1374710559 1832947412 2749421118 3665894824 5498842236 10997684472