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11826997504 = 28729712
BaseRepresentation
bin10110000001111000…
…11010100100000000
31010112020120201112121
423000330122210000
5143210202410004
65233325334024
7566040551200
oct130074324400
933466521477
1011826997504
11501a039303
122360a07314
13116637099a
14802a66400
1549349a854
hex2c0f1a900

11826997504 has 81 divisors (see below), whose sum is σ = 27490441251. Its totient is φ = 5063493120.

The previous prime is 11826997489. The next prime is 11826997547. The reversal of 11826997504 is 40579962811.

The square root of 11826997504 is 108752.

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

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 12179739 + ... + 12180709.

Almost surely, 211826997504 is an apocalyptic number.

11826997504 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

11826997504 is the 108752-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11826997504

11826997504 is an abundant number, since it is smaller than the sum of its proper divisors (15663443747).

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

11826997504 is an frugal number, since it uses more digits than its factorization.

11826997504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1972 (or 980 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 52.

The spelling of 11826997504 in words is "eleven billion, eight hundred twenty-six million, nine hundred ninety-seven thousand, five hundred four".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 128 196 224 256 392 448 784 896 971 1568 1792 1942 3136 3884 6272 6797 7768 12544 13594 15536 27188 31072 47579 54376 62144 95158 108752 124288 190316 217504 248576 380632 435008 761264 870016 942841 1522528 1740032 1885682 3045056 3771364 6090112 6599887 7542728 12180224 13199774 15085456 26399548 30170912 46199209 52799096 60341824 92398418 105598192 120683648 184796836 211196384 241367296 369593672 422392768 739187344 844785536 1478374688 1689571072 2956749376 5913498752 11826997504