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11706374416 = 2411224592
BaseRepresentation
bin10101110011100000…
…10001100100010000
31010012211121102202211
422321300101210100
5142433312440131
65213340121504
7563044353322
oct127160214420
933184542684
1011706374416
114a67a41400
122328536294
131147389289
147d0a27612
15487ac05b1
hex2b9c11910

11706374416 has 45 divisors (see below), whose sum is σ = 24940608343. Its totient is φ = 5318915360.

The previous prime is 11706374401. The next prime is 11706374441. The reversal of 11706374416 is 61447360711.

The square root of 11706374416 is 108196.

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

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 4759395 + ... + 4761853.

Almost surely, 211706374416 is an apocalyptic number.

11706374416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

11706374416 is the 108196-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11706374416

11706374416 is an abundant number, since it is smaller than the sum of its proper divisors (13234233927).

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

11706374416 is an frugal number, since it uses more digits than its factorization.

11706374416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4948 (or 2472 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 40.

The spelling of 11706374416 in words is "eleven billion, seven hundred six million, three hundred seventy-four thousand, four hundred sixteen".

Divisors: 1 2 4 8 11 16 22 44 88 121 176 242 484 968 1936 2459 4918 9836 19672 27049 39344 54098 108196 216392 297539 432784 595078 1190156 2380312 4760624 6046681 12093362 24186724 48373448 66513491 96746896 133026982 266053964 532107928 731648401 1064215856 1463296802 2926593604 5853187208 11706374416