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189321605824 = 26131307174101
BaseRepresentation
bin1011000001010001110…
…0100111001011000000
3200002200011000001111211
42300110130213023000
511100212312341244
6222550111015504
716451365045321
oct2602434471300
9602604001454
10189321605824
117332212464a
123083750a594
1314b11c18940
14923dc0a448
154dd0c60934
hex2c147272c0

189321605824 has 56 divisors (see below), whose sum is σ = 404895789648. Its totient is φ = 87311846400.

The previous prime is 189321605813. The next prime is 189321605839. The reversal of 189321605824 is 428506123981.

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, 1000374 + ... + 1174474.

It is an arithmetic number, because the mean of its divisors is an integer number (7230281958).

Almost surely, 2189321605824 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 189321605824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202447894824).

189321605824 is an abundant number, since it is smaller than the sum of its proper divisors (215574183824).

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

189321605824 is a wasteful number, since it uses less digits than its factorization.

189321605824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175433 (or 175423 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 49.

The spelling of 189321605824 in words is "one hundred eighty-nine billion, three hundred twenty-one million, six hundred five thousand, eight hundred twenty-four".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 208 416 832 1307 2614 5228 10456 16991 20912 33982 41824 67964 83648 135928 174101 271856 348202 543712 696404 1087424 1392808 2263313 2785616 4526626 5571232 9053252 11142464 18106504 36213008 72426016 144852032 227550007 455100014 910200028 1820400056 2958150091 3640800112 5916300182 7281600224 11832600364 14563200448 23665200728 47330401456 94660802912 189321605824