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189560968996 = 227213722272
BaseRepresentation
bin1011000010001010110…
…1101101011100100100
3200010021211101222001111
42300202231231130210
511101210102001441
6223025541234404
716460332436200
oct2604255553444
9603254358044
10189560968996
1173435252753
12308a3702a04
1314b4c6a5959
149263917b00
154de6c93081
hex2c22b6d724

189560968996 has 81 divisors (see below), whose sum is σ = 390449270001. Its totient is φ = 80292144576.

The previous prime is 189560968991. The next prime is 189560968997. The reversal of 189560968996 is 699869065981.

The square root of 189560968996 is 435386.

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., 111349016100 + 78211952896 = 333690^2 + 279664^2 .

It is not an unprimeable number, because it can be changed into a prime (189560968991) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 835070235 + ... + 835070461.

Almost surely, 2189560968996 is an apocalyptic number.

189560968996 is the 435386-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 189560968996

189560968996 is an abundant number, since it is smaller than the sum of its proper divisors (200888301005).

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

189560968996 is an equidigital number, since it uses as much as digits as its factorization.

189560968996 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 746 (or 373 counting only the distinct ones).

The product of its (nonzero) digits is 453496320, while the sum is 76.

The spelling of 189560968996 in words is "one hundred eighty-nine billion, five hundred sixty million, nine hundred sixty-eight thousand, nine hundred ninety-six".

Divisors: 1 2 4 7 14 28 49 98 137 196 227 274 454 548 908 959 1589 1918 3178 3836 6356 6713 11123 13426 18769 22246 26852 31099 37538 44492 51529 62198 75076 103058 124396 131383 206116 217693 262766 360703 435386 525532 721406 870772 919681 1442812 1523851 1839362 2524921 3047702 3678724 4260563 5049842 6095404 7059473 8521126 10099684 14118946 17042252 28237892 29823941 49416311 59647882 98832622 119295764 197665244 208767587 345914177 417535174 691828354 835070348 967147801 1383656708 1934295602 3868591204 6770034607 13540069214 27080138428 47390242249 94780484498 189560968996