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84448408032 = 253397741213
BaseRepresentation
bin100111010100110000…
…1000111000111100000
322001222100120121122000
41032221201013013200
52340422243024112
6102443422244000
76046465424142
oct1165141070740
9261870517560
1084448408032
11328a5a1995a
1214449726600
137c6a916711
144131894c92
1522e3cba7dc
hex13a98471e0

84448408032 has 48 divisors (see below), whose sum is σ = 246307859280. Its totient is φ = 28149469056.

The previous prime is 84448408019. The next prime is 84448408049. The reversal of 84448408032 is 23080484448.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×844484080322 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

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, 48869743 + ... + 48871470.

It is an arithmetic number, because the mean of its divisors is an integer number (5131413735).

Almost surely, 284448408032 is an apocalyptic number.

It is an amenable number.

84448408032 is an abundant number, since it is smaller than the sum of its proper divisors (161859451248).

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

84448408032 is a wasteful number, since it uses less digits than its factorization.

84448408032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97741232 (or 97741218 counting only the distinct ones).

The product of its (nonzero) digits is 786432, while the sum is 45.

The spelling of 84448408032 in words is "eighty-four billion, four hundred forty-eight million, four hundred eight thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 864 97741213 195482426 293223639 390964852 586447278 781929704 879670917 1172894556 1563859408 1759341834 2345789112 2639012751 3127718816 3518683668 4691578224 5278025502 7037367336 9383156448 10556051004 14074734672 21112102008 28149469344 42224204016 84448408032