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9897030144 = 29333791889
BaseRepresentation
bin10010011011110100…
…01011001000000000
3221112202000020001000
421031322023020000
5130232114431034
64314023412000
7500154240201
oct111572131000
927482006030
109897030144
114219685261
121b025b4000
13c19576c71
1469c5db5a8
153cdd1d599
hex24de8b200

9897030144 has 160 divisors (see below), whose sum is σ = 29388744000. Its totient is φ = 3288563712.

The previous prime is 9897030133. The next prime is 9897030151. The reversal of 9897030144 is 4410307989.

It is a self number, because there is not a number n which added to its sum of digits gives 9897030144.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5238352 + ... + 5240240.

It is an arithmetic number, because the mean of its divisors is an integer number (183679650).

Almost surely, 29897030144 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 9897030144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14694372000).

9897030144 is an abundant number, since it is smaller than the sum of its proper divisors (19491713856).

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

9897030144 is a wasteful number, since it uses less digits than its factorization.

9897030144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2295 (or 2273 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 9897030144 is about 99483.8185033124. The cubic root of 9897030144 is about 2147.0144350391.

The spelling of 9897030144 in words is "nine billion, eight hundred ninety-seven million, thirty thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 256 288 379 384 432 512 576 758 768 864 1137 1152 1516 1536 1728 1889 2274 2304 3032 3411 3456 3778 4548 4608 5667 6064 6822 6912 7556 9096 10233 11334 12128 13644 13824 15112 17001 18192 20466 22668 24256 27288 30224 34002 36384 40932 45336 48512 51003 54576 60448 68004 72768 81864 90672 97024 102006 109152 120896 136008 145536 163728 181344 194048 204012 218304 241792 272016 291072 327456 362688 408024 436608 483584 544032 582144 654912 715931 725376 816048 873216 967168 1088064 1309824 1431862 1450752 1632096 1746432 2147793 2176128 2619648 2863724 2901504 3264192 4295586 4352256 5239296 5727448 6443379 6528384 8591172 8704512 11454896 12886758 13056768 17182344 19330137 22909792 25773516 26113536 34364688 38660274 45819584 51547032 68729376 77320548 91639168 103094064 137458752 154641096 183278336 206188128 274917504 309282192 366556672 412376256 549835008 618564384 824752512 1099670016 1237128768 1649505024 2474257536 3299010048 4948515072 9897030144