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1955908864 = 28713113743
BaseRepresentation
bin111010010010100…
…1100110100000000
312001022101110120001
41310211030310000
513001203040424
6522025525344
766316644130
oct16445146400
95038343501
101955908864
11914072308
12467043854
132522aa630
14147a9cac0
15b6aa3844
hex7494cd00

1955908864 has 144 divisors (see below), whose sum is σ = 4854189312. Its totient is φ = 765886464.

The previous prime is 1955908847. The next prime is 1955908897. The reversal of 1955908864 is 4688095591.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2632077 + ... + 2632819.

It is an arithmetic number, because the mean of its divisors is an integer number (33709648).

Almost surely, 21955908864 is an apocalyptic number.

1955908864 is a gapful number since it is divisible by the number (14) 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 1955908864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2427094656).

1955908864 is an abundant number, since it is smaller than the sum of its proper divisors (2898280448).

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

1955908864 is a wasteful number, since it uses less digits than its factorization.

1955908864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 892 (or 878 counting only the distinct ones).

The product of its (nonzero) digits is 3110400, while the sum is 55.

The square root of 1955908864 is about 44225.6584348950. The cubic root of 1955908864 is about 1250.5936090447.

The spelling of 1955908864 in words is "one billion, nine hundred fifty-five million, nine hundred eight thousand, eight hundred sixty-four".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 52 56 64 91 104 112 113 128 182 208 224 226 256 364 416 448 452 728 743 791 832 896 904 1456 1469 1486 1582 1664 1792 1808 2912 2938 2972 3164 3328 3616 5201 5824 5876 5944 6328 7232 9659 10283 10402 11648 11752 11888 12656 14464 19318 20566 20804 23296 23504 23776 25312 28928 38636 41132 41608 47008 47552 50624 67613 77272 82264 83216 83959 94016 95104 101248 135226 154544 164528 166432 167918 188032 190208 202496 270452 309088 329056 332864 335836 376064 540904 587713 618176 658112 665728 671672 1081808 1091467 1175426 1236352 1316224 1331456 1343344 2163616 2182934 2350852 2472704 2632448 2686688 4327232 4365868 4701704 5373376 7640269 8654464 8731736 9403408 10746752 15280538 17308928 17463472 18806816 21493504 30561076 34926944 37613632 61122152 69853888 75227264 122244304 139707776 150454528 244488608 279415552 488977216 977954432 1955908864