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10383089480 = 2353726092689
BaseRepresentation
bin10011010101110000…
…10101111101001000
3222210121121121002122
421222320111331020
5132231032330410
64434145350412
7515205542621
oct115270257510
928717547078
1010383089480
114448a8a895
122019338408
13c9618a93a
14706da4a48
1540b830e55
hex26ae15f48

10383089480 has 64 divisors (see below), whose sum is σ = 24011478000. Its totient is φ = 4037935104.

The previous prime is 10383089477. The next prime is 10383089489. The reversal of 10383089480 is 8498038301.

10383089480 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 3656137156 + 6726952324 = 60466^2 + 82018^2 .

It is not an unprimeable number, because it can be changed into a prime (10383089489) 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, 3859976 + ... + 3862664.

Almost surely, 210383089480 is an apocalyptic number.

10383089480 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10383089480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12005739000).

10383089480 is an abundant number, since it is smaller than the sum of its proper divisors (13628388520).

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

10383089480 is a wasteful number, since it uses less digits than its factorization.

10383089480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5346 (or 5342 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 44.

The spelling of 10383089480 in words is "ten billion, three hundred eighty-three million, eighty-nine thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 20 37 40 74 148 185 296 370 740 1480 2609 2689 5218 5378 10436 10756 13045 13445 20872 21512 26090 26890 52180 53780 96533 99493 104360 107560 193066 198986 386132 397972 482665 497465 772264 795944 965330 994930 1930660 1989860 3861320 3979720 7015601 14031202 28062404 35078005 56124808 70156010 140312020 259577237 280624040 519154474 1038308948 1297886185 2076617896 2595772370 5191544740 10383089480