Search a number
-
+
54989028784 = 2417241893259
BaseRepresentation
bin110011001101100110…
…011111110110110000
312020221021120002111201
4303031212133312300
51400104142410114
641132301420544
73654452014114
oct631546376660
9166837502451
1054989028784
1121358967238
12a7a786a754
135254559971
142939177744
15166c880874
hexccd99fdb0

54989028784 has 120 divisors (see below), whose sum is σ = 117276087600. Its totient is φ = 24954716160.

The previous prime is 54989028739. The next prime is 54989028811. The reversal of 54989028784 is 48782098945.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16871347 + ... + 16874605.

It is an arithmetic number, because the mean of its divisors is an integer number (977300730).

Almost surely, 254989028784 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 54989028784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58638043800).

54989028784 is an abundant number, since it is smaller than the sum of its proper divisors (62287058816).

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

54989028784 is a wasteful number, since it uses less digits than its factorization.

54989028784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3431 (or 3408 counting only the distinct ones).

The product of its (nonzero) digits is 46448640, while the sum is 64.

The spelling of 54989028784 in words is "fifty-four billion, nine hundred eighty-nine million, twenty-eight thousand, seven hundred eighty-four".

Divisors: 1 2 4 8 16 17 34 41 68 82 89 136 164 178 272 289 328 356 578 656 697 712 1156 1394 1424 1513 2312 2788 3026 3259 3649 4624 5576 6052 6518 7298 11152 11849 12104 13036 14596 23698 24208 25721 26072 29192 47396 51442 52144 55403 58384 62033 94792 102884 110806 124066 133619 189584 205768 221612 248132 267238 290051 411536 443224 496264 534476 580102 886448 941851 992528 1054561 1068952 1160204 1883702 2109122 2137904 2271523 2320408 3767404 4218244 4543046 4640816 4930867 7534808 8436488 9086092 9861734 11892091 15069616 16872976 18172184 19723468 23784182 36344368 38615891 39446936 47568364 77231782 78893872 83824739 95136728 154463564 167649478 190273456 202165547 308927128 335298956 404331094 617854256 670597912 808662188 1341195824 1617324376 3234648752 3436814299 6873628598 13747257196 27494514392 54989028784