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4496421664 = 257174092887
BaseRepresentation
bin1000011000000000…
…11111001100100000
3102121100210212221201
410030000133030200
533202040443124
62022101530544
7216265645030
oct41400371440
912540725851
104496421664
1119a8127169
12a55a13a54
13568722b47
143092578c0
151b4b33144
hex10c01f320

4496421664 has 96 divisors (see below), whose sum is σ = 10741973760. Its totient is φ = 1808621568.

The previous prime is 4496421619. The next prime is 4496421673. The reversal of 4496421664 is 4661246944.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1556029 + ... + 1558915.

It is an arithmetic number, because the mean of its divisors is an integer number (111895560).

Almost surely, 24496421664 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 4496421664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5370986880).

4496421664 is an abundant number, since it is smaller than the sum of its proper divisors (6245552096).

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

4496421664 is a wasteful number, since it uses less digits than its factorization.

4496421664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3330 (or 3322 counting only the distinct ones).

The product of its digits is 995328, while the sum is 46.

The square root of 4496421664 is about 67055.3626789088. The cubic root of 4496421664 is about 1650.5259008050.

The spelling of 4496421664 in words is "four billion, four hundred ninety-six million, four hundred twenty-one thousand, six hundred sixty-four".

Divisors: 1 2 4 7 8 14 16 17 28 32 34 56 68 112 119 136 224 238 272 409 476 544 818 952 1636 1904 2863 2887 3272 3808 5726 5774 6544 6953 11452 11548 13088 13906 20209 22904 23096 27812 40418 45808 46192 48671 49079 55624 80836 91616 92384 97342 98158 111248 161672 194684 196316 222496 323344 343553 389368 392632 646688 687106 778736 785264 1180783 1374212 1557472 1570528 2361566 2748424 4723132 5496848 8265481 9446264 10993696 16530962 18892528 20073311 33061924 37785056 40146622 66123848 80293244 132247696 140513177 160586488 264495392 281026354 321172976 562052708 642345952 1124105416 2248210832 4496421664