Search a number
-
+
55879068480 = 263574378341
BaseRepresentation
bin110100000010101001…
…101110101101000000
312100020022022210102220
4310002221232231000
51403420020142410
641400454211040
74015510150044
oct640251565500
9170208283386
1055879068480
1121775306234
12a9b5953a80
135366a76881
1429c1460024
1516c0a91070
hexd02a6eb40

55879068480 has 112 divisors (see below), whose sum is σ = 177657093504. Its totient is φ = 14880839680.

The previous prime is 55879068463. The next prime is 55879068517. The reversal of 55879068480 is 8486097855.

It is a Harshad number since it is a multiple of its sum of digits (60).

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, 674110 + ... + 752450.

Almost surely, 255879068480 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 55879068480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88828546752).

55879068480 is an abundant number, since it is smaller than the sum of its proper divisors (121778025024).

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

55879068480 is a wasteful number, since it uses less digits than its factorization.

55879068480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79104 (or 79094 counting only the distinct ones).

The product of its (nonzero) digits is 19353600, while the sum is 60.

The spelling of 55879068480 in words is "fifty-five billion, eight hundred seventy-nine million, sixty-eight thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 160 192 240 320 480 743 960 1486 2229 2972 3715 4458 5944 7430 8916 11145 11888 14860 17832 22290 23776 29720 35664 44580 47552 59440 71328 78341 89160 118880 142656 156682 178320 235023 237760 313364 356640 391705 470046 626728 713280 783410 940092 1175115 1253456 1566820 1880184 2350230 2506912 3133640 3760368 4700460 5013824 6267280 7520736 9400920 12534560 15041472 18801840 25069120 37603680 58207363 75207360 116414726 174622089 232829452 291036815 349244178 465658904 582073630 698488356 873110445 931317808 1164147260 1396976712 1746220890 1862635616 2328294520 2793953424 3492441780 3725271232 4656589040 5587906848 6984883560 9313178080 11175813696 13969767120 18626356160 27939534240 55879068480