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6161622016 = 2101122232
BaseRepresentation
bin1011011110100001…
…01110010000000000
3120220102011211101211
411233100232100000
5100104333401031
62455224535504
7305455631404
oct55720562000
916812154354
106161622016
112682090900
12123b621594
137727068b4
14426481104
15260e10bb1
hex16f42e400

6161622016 has 99 divisors (see below), whose sum is σ = 13599754203. Its totient is φ = 2788177920.

The previous prime is 6161622011. The next prime is 6161622029. The reversal of 6161622016 is 6102261616.

The square root of 6161622016 is 78496.

It is a perfect power (a square), and thus also a powerful number.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (6161622011) 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 8 ways as a sum of consecutive naturals, for example, 27630481 + ... + 27630703.

Almost surely, 26161622016 is an apocalyptic number.

6161622016 is the 78496-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6161622016

6161622016 is an abundant number, since it is smaller than the sum of its proper divisors (7438132187).

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

6161622016 is an equidigital number, since it uses as much as digits as its factorization.

6161622016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 488 (or 236 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 31.

The cubic root of 6161622016 is about 1833.2921732981.

Multiplying 6161622016 by its product of nonzero digits (5184), we get a square (31941848530944 = 56517122).

The spelling of 6161622016 in words is "six billion, one hundred sixty-one million, six hundred twenty-two thousand, sixteen".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 121 128 176 223 242 256 352 446 484 512 704 892 968 1024 1408 1784 1936 2453 2816 3568 3872 4906 5632 7136 7744 9812 11264 14272 15488 19624 26983 28544 30976 39248 49729 53966 57088 61952 78496 99458 107932 114176 123904 156992 198916 215864 228352 313984 397832 431728 547019 627968 795664 863456 1094038 1255936 1591328 1726912 2188076 2511872 3182656 3453824 4376152 6017209 6365312 6907648 8752304 12034418 12730624 13815296 17504608 24068836 25461248 27630592 35009216 48137672 50922496 70018432 96275344 140036864 192550688 280073728 385101376 560147456 770202752 1540405504 3080811008 6161622016