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11754389620 = 2252921539413
BaseRepresentation
bin10101111001001110…
…11100000001110100
31010100011221212020201
422330213130001310
5143033110431440
65222213210244
7564166443331
oct127447340164
933304855221
1011754389620
114a92056996
122340630984
1311542cb13c
147d7165988
1548be0719a
hex2bc9dc074

11754389620 has 48 divisors (see below), whose sum is σ = 25549972560. Its totient is φ = 4537035776.

The previous prime is 11754389597. The next prime is 11754389627. The reversal of 11754389620 is 2698345711.

11754389620 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 39790864 + 11714598756 = 6308^2 + 108234^2 .

It is a hoax number, since the sum of its digits (46) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11754389627) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 1244034 + ... + 1253446.

It is an arithmetic number, because the mean of its divisors is an integer number (532291095).

It is a 1-persistent number, because it is pandigital, but 2⋅11754389620 = 23508779240 is not.

Almost surely, 211754389620 is an apocalyptic number.

11754389620 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11754389620 is an abundant number, since it is smaller than the sum of its proper divisors (13795582940).

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

11754389620 is a wasteful number, since it uses less digits than its factorization.

11754389620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11604 (or 11602 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 46.

The spelling of 11754389620 in words is "eleven billion, seven hundred fifty-four million, three hundred eighty-nine thousand, six hundred twenty".

Divisors: 1 2 4 5 10 20 29 58 116 145 290 580 2153 4306 8612 9413 10765 18826 21530 37652 43060 47065 62437 94130 124874 188260 249748 272977 312185 545954 624370 1091908 1248740 1364885 2729770 5459540 20266189 40532378 81064756 101330945 202661890 405323780 587719481 1175438962 2350877924 2938597405 5877194810 11754389620