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1975643136 = 2103423819
BaseRepresentation
bin111010111000001…
…1110110000000000
312002200112001220000
41311300132300000
513021231040021
6524012520000
766646455345
oct16560366000
95080461800
101975643136
11924220a25
12471780000
132563c9b0c
1414a5587cc
15b86a0b26
hex75c1ec00

1975643136 has 110 divisors (see below), whose sum is σ = 5899904340. Its totient is φ = 658520064.

The previous prime is 1975643129. The next prime is 1975643141. The reversal of 1975643136 is 6313465791.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 1975643091 and 1975643100.

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 9 ways as a sum of consecutive naturals, for example, 71035 + ... + 94853.

It is an arithmetic number, because the mean of its divisors is an integer number (53635494).

Almost surely, 21975643136 is an apocalyptic number.

1975643136 is a gapful number since it is divisible by the number (16) 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 1975643136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2949952170).

1975643136 is an abundant number, since it is smaller than the sum of its proper divisors (3924261204).

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

1975643136 is an equidigital number, since it uses as much as digits as its factorization.

1975643136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23851 (or 23824 counting only the distinct ones).

The product of its digits is 408240, while the sum is 45.

The square root of 1975643136 is about 44448.2073429289. The cubic root of 1975643136 is about 1254.7855246363.

The spelling of 1975643136 in words is "one billion, nine hundred seventy-five million, six hundred forty-three thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 256 288 324 384 432 512 576 648 768 864 1024 1152 1296 1536 1728 2304 2592 3072 3456 4608 5184 6912 9216 10368 13824 20736 23819 27648 41472 47638 71457 82944 95276 142914 190552 214371 285828 381104 428742 571656 643113 762208 857484 1143312 1286226 1524416 1714968 1929339 2286624 2572452 3048832 3429936 3858678 4573248 5144904 6097664 6859872 7717356 9146496 10289808 12195328 13719744 15434712 18292992 20579616 24390656 27439488 30869424 36585984 41159232 54878976 61738848 73171968 82318464 109757952 123477696 164636928 219515904 246955392 329273856 493910784 658547712 987821568 1975643136