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1101426464 = 25179720873
BaseRepresentation
bin100000110100110…
…0110111100100000
32211202112021001202
41001221212330200
54223431121324
6301143220332
736202653605
oct10151467440
92752467052
101101426464
115157aa006
12268a476a8
13147260048
14a63d06ac
1566a688ae
hex41a66f20

1101426464 has 48 divisors (see below), whose sum is σ = 2319769368. Its totient is φ = 512950272.

The previous prime is 1101426451. The next prime is 1101426493. The reversal of 1101426464 is 4646241011.

It can be written as a sum of positive squares in 4 ways, for example, as 964723600 + 136702864 = 31060^2 + 11692^2 .

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 7 ways as a sum of consecutive naturals, for example, 42332 + ... + 63204.

Almost surely, 21101426464 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1101426464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1159884684).

1101426464 is an abundant number, since it is smaller than the sum of its proper divisors (1218342904).

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

1101426464 is a wasteful number, since it uses less digits than its factorization.

1101426464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20997 (or 20989 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 29.

The square root of 1101426464 is about 33187.7456902393. The cubic root of 1101426464 is about 1032.7261379930.

Adding to 1101426464 its reverse (4646241011), we get a palindrome (5747667475).

The spelling of 1101426464 in words is "one billion, one hundred one million, four hundred twenty-six thousand, four hundred sixty-four".

Divisors: 1 2 4 8 16 17 32 34 68 97 136 194 272 388 544 776 1552 1649 3104 3298 6596 13192 20873 26384 41746 52768 83492 166984 333968 354841 667936 709682 1419364 2024681 2838728 4049362 5677456 8098724 11354912 16197448 32394896 34419577 64789792 68839154 137678308 275356616 550713232 1101426464