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4506981376 = 21023316173
BaseRepresentation
bin1000011001010001…
…10001010000000000
3102122002200101011011
410030220301100000
533212241401001
62023120130304
7216454465252
oct41450612000
912562611134
104506981376
111a030898a7
12a59466994
1356a97c3b1
1430a805cd2
151b5a1bd51
hex10ca31400

4506981376 has 88 divisors (see below), whose sum is σ = 9706120704. Its totient is φ = 2085642240.

The previous prime is 4506981361. The next prime is 4506981397. The reversal of 4506981376 is 6731896054.

It is a super-2 number, since 2×45069813762 = 40625762247221706752, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 727026 + ... + 733198.

Almost surely, 24506981376 is an apocalyptic number.

4506981376 is a gapful number since it is divisible by the number (46) 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 4506981376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4853060352).

4506981376 is an abundant number, since it is smaller than the sum of its proper divisors (5199139328).

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

4506981376 is a wasteful number, since it uses less digits than its factorization.

4506981376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6247 (or 6229 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 49.

The square root of 4506981376 is about 67134.0552625864. The cubic root of 4506981376 is about 1651.8169609224.

The spelling of 4506981376 in words is "four billion, five hundred six million, nine hundred eighty-one thousand, three hundred seventy-six".

Divisors: 1 2 4 8 16 23 31 32 46 62 64 92 124 128 184 248 256 368 496 512 713 736 992 1024 1426 1472 1984 2852 2944 3968 5704 5888 6173 7936 11408 11776 12346 15872 22816 23552 24692 31744 45632 49384 91264 98768 141979 182528 191363 197536 283958 365056 382726 395072 567916 730112 765452 790144 1135832 1530904 1580288 2271664 3061808 3160576 4401349 4543328 6123616 6321152 8802698 9086656 12247232 17605396 18173312 24494464 35210792 36346624 48988928 70421584 72693248 97977856 140843168 145386496 195955712 281686336 563372672 1126745344 2253490688 4506981376