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11374435801 = 23246372
BaseRepresentation
bin10101001011111100…
…00001110111011001
31002100201000012121001
422211332001313121
5141243323421201
65120401345001
7551604052261
oct124576016731
932321005531
1011374435801
114907632a73
122255338161
1310c3687cb1
1479c8dc7a1
154688a3301
hex2a5f81dd9

11374435801 has 9 divisors (see below), whose sum is σ = 11893043071. Its totient is φ = 10877548792.

The previous prime is 11374435777. The next prime is 11374435819. The reversal of 11374435801 is 10853447311.

The square root of 11374435801 is 106651.

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

It can be written as a sum of positive squares in only one way, i.e., 2859575625 + 8514860176 = 53475^2 + 92276^2 .

It is not a de Polignac number, because 11374435801 - 27 = 11374435673 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (11374435201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 2450655 + ... + 2455291.

Almost surely, 211374435801 is an apocalyptic number.

11374435801 is the 106651-st square number.

11374435801 is the 53326-th centered octagonal number.

It is an amenable number.

11374435801 is a deficient number, since it is larger than the sum of its proper divisors (518607270).

11374435801 is an frugal number, since it uses more digits than its factorization.

11374435801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9320 (or 4660 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 37.

The spelling of 11374435801 in words is "eleven billion, three hundred seventy-four million, four hundred thirty-five thousand, eight hundred one".

Divisors: 1 23 529 4637 106651 2452973 21501769 494540687 11374435801