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32291492096 = 281037011747
BaseRepresentation
bin11110000100101110…
…010001000100000000
310002100110010202120202
4132010232101010000
51012113110221341
622500130424332
72222133103553
oct360456210400
9102313122522
1032291492096
1112770783a56
1263124320a8
13307804b896
1417c490069a
15c8edb979b
hex784b91100

32291492096 has 72 divisors (see below), whose sum is σ = 65212789824. Its totient is φ = 15957043200.

The previous prime is 32291492071. The next prime is 32291492131. The reversal of 32291492096 is 69029419223.

It is a Smith number, since the sum of its digits (47) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 32291492096.

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, 18483095 + ... + 18484841.

It is an arithmetic number, because the mean of its divisors is an integer number (905733192).

Almost surely, 232291492096 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 32291492096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32606394912).

32291492096 is an abundant number, since it is smaller than the sum of its proper divisors (32921297728).

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

32291492096 is a wasteful number, since it uses less digits than its factorization.

32291492096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2567 (or 2553 counting only the distinct ones).

The product of its (nonzero) digits is 419904, while the sum is 47.

The spelling of 32291492096 in words is "thirty-two billion, two hundred ninety-one million, four hundred ninety-two thousand, ninety-six".

Divisors: 1 2 4 8 16 32 64 103 128 206 256 412 701 824 1402 1648 1747 2804 3296 3494 5608 6592 6988 11216 13184 13976 22432 26368 27952 44864 55904 72203 89728 111808 144406 179456 179941 223616 288812 359882 447232 577624 719764 1155248 1224647 1439528 2310496 2449294 2879056 4620992 4898588 5758112 9241984 9797176 11516224 18483968 19594352 23032448 39188704 46064896 78377408 126138641 156754816 252277282 313509632 504554564 1009109128 2018218256 4036436512 8072873024 16145746048 32291492096