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32190101056 = 264125472
BaseRepresentation
bin11101111110101011…
…011111011001000000
310002002101100120020001
4131332223133121000
51011411131213211
622442105325344
72216462226061
oct357653373100
9102071316201
1032190101056
1112719522403
1262a4496854
13306003bb99
1417b526a568
15c8603cac1
hex77eadf640

32190101056 has 63 divisors (see below), whose sum is σ = 65593126497. Its totient is φ = 15673781760.

The previous prime is 32190101039. The next prime is 32190101071. The reversal of 32190101056 is 65010109123.

The square root of 32190101056 is 179416.

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

It can be written as a sum of positive squares in only one way, i.e., 1551099456 + 30639001600 = 39384^2 + 175040^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 58848175 + ... + 58848721.

Almost surely, 232190101056 is an apocalyptic number.

32190101056 is the 179416-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 32190101056

32190101056 is an abundant number, since it is smaller than the sum of its proper divisors (33403025441).

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

32190101056 is an frugal number, since it uses more digits than its factorization.

32190101056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1188 (or 590 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 28.

The spelling of 32190101056 in words is "thirty-two billion, one hundred ninety million, one hundred one thousand, fifty-six".

Divisors: 1 2 4 8 16 32 41 64 82 164 328 547 656 1094 1312 1681 2188 2624 3362 4376 6724 8752 13448 17504 22427 26896 35008 44854 53792 89708 107584 179416 299209 358832 598418 717664 919507 1196836 1435328 1839014 2393672 3678028 4787344 7356056 9574688 12267569 14712112 19149376 24535138 29424224 49070276 58848448 98140552 196281104 392562208 502970329 785124416 1005940658 2011881316 4023762632 8047525264 16095050528 32190101056