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10997297424 = 24369712
BaseRepresentation
bin10100011110111110…
…10111000100010000
31001101102100121000000
422033133113010100
5140010302004144
65015130130000
7536344325421
oct121737270420
931342317000
1010997297424
114733762363
12216ab80900
1310634bc4a9
147647a9648
15445708769
hex28f7d7110

10997297424 has 105 divisors (see below), whose sum is σ = 31979215879. Its totient is φ = 3661990560.

The previous prime is 10997297419. The next prime is 10997297453. The reversal of 10997297424 is 42479279901.

The square root of 10997297424 is 104868.

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

10997297424 is a `hidden beast` number, since 109 + 97 + 29 + 7 + 424 = 666.

10997297424 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a Duffinian 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 20 ways as a sum of consecutive naturals, for example, 11325259 + ... + 11326229.

Almost surely, 210997297424 is an apocalyptic number.

10997297424 is the 104868-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10997297424

10997297424 is an abundant number, since it is smaller than the sum of its proper divisors (20981918455).

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

10997297424 is an frugal number, since it uses more digits than its factorization.

10997297424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1968 (or 976 counting only the distinct ones).

The product of its (nonzero) digits is 2286144, while the sum is 54.

The spelling of 10997297424 in words is "ten billion, nine hundred ninety-seven million, two hundred ninety-seven thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 243 324 432 486 648 729 971 972 1296 1458 1942 1944 2913 2916 3884 3888 5826 5832 7768 8739 11652 11664 15536 17478 23304 26217 34956 46608 52434 69912 78651 104868 139824 157302 209736 235953 314604 419472 471906 629208 707859 942841 943812 1258416 1415718 1885682 1887624 2828523 2831436 3771364 3775248 5657046 5662872 7542728 8485569 11314092 11325744 15085456 16971138 22628184 25456707 33942276 45256368 50913414 67884552 76370121 101826828 135769104 152740242 203653656 229110363 305480484 407307312 458220726 610960968 687331089 916441452 1221921936 1374662178 1832882904 2749324356 3665765808 5498648712 10997297424