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5447438680 = 2352379241311
BaseRepresentation
bin1010001001011000…
…10101000101011000
3112001122022120001011
411010230111011120
542124021014210
62300313303304
7251664315265
oct50454250530
915048276034
105447438680
112345a34342
121080404b34
1368a76c7c8
1439969426c
1521d38ad8a
hex144b15158

5447438680 has 128 divisors (see below), whose sum is σ = 13047091200. Its totient is φ = 2042726400.

The previous prime is 5447438663. The next prime is 5447438683. The reversal of 5447438680 is 868347445.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5447438683) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 17515725 + ... + 17516035.

It is an arithmetic number, because the mean of its divisors is an integer number (101930400).

Almost surely, 25447438680 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 5447438680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6523545600).

5447438680 is an abundant number, since it is smaller than the sum of its proper divisors (7599652520).

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

5447438680 is a wasteful number, since it uses less digits than its factorization.

5447438680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 665 (or 661 counting only the distinct ones).

The product of its (nonzero) digits is 2580480, while the sum is 49.

The square root of 5447438680 is about 73806.7658145241. The cubic root of 5447438680 is about 1759.5331363275.

The spelling of 5447438680 in words is "five billion, four hundred forty-seven million, four hundred thirty-eight thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 20 23 40 46 79 92 115 158 184 230 241 311 316 395 460 482 622 632 790 920 964 1205 1244 1555 1580 1817 1928 2410 2488 3110 3160 3634 4820 5543 6220 7153 7268 9085 9640 11086 12440 14306 14536 18170 19039 22172 24569 27715 28612 35765 36340 38078 44344 49138 55430 57224 71530 72680 74951 76156 95195 98276 110860 122845 143060 149902 152312 190390 196552 221720 245690 286120 299804 374755 380780 437897 491380 565087 599608 749510 761560 875794 982760 1130174 1499020 1723873 1751588 2189485 2260348 2825435 2998040 3447746 3503176 4378970 4520696 5650870 5921129 6895492 8619365 8757940 11301740 11842258 13790984 17238730 17515880 22603480 23684516 29605645 34477460 47369032 59211290 68954920 118422580 136185967 236845160 272371934 544743868 680929835 1089487736 1361859670 2723719340 5447438680