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5029462368 = 2535792399
BaseRepresentation
bin1001010111100011…
…11000000101100000
3110222111211011100000
410223301320011200
540300020243433
62151022500000
7235430503410
oct45361700540
913874734300
105029462368
112151000577
12b84434600
13621ca5c48
14359d70640
151e6826113
hex12bc78160

5029462368 has 144 divisors (see below), whose sum is σ = 16951334400. Its totient is φ = 1436973696.

The previous prime is 5029462367. The next prime is 5029462379. The reversal of 5029462368 is 8632649205.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×50294623682 = 50590983422256334848, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5029462367) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8233 + ... + 100631.

It is an arithmetic number, because the mean of its divisors is an integer number (117717600).

Almost surely, 25029462368 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 5029462368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8475667200).

5029462368 is an abundant number, since it is smaller than the sum of its proper divisors (11921872032).

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

5029462368 is an equidigital number, since it uses as much as digits as its factorization.

5029462368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92431 (or 92411 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The square root of 5029462368 is about 70918.7025262025. The cubic root of 5029462368 is about 1713.3280339517.

The spelling of 5029462368 in words is "five billion, twenty-nine million, four hundred sixty-two thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 72 81 84 96 108 112 126 144 162 168 189 216 224 243 252 288 324 336 378 432 486 504 567 648 672 756 864 972 1008 1134 1296 1512 1701 1944 2016 2268 2592 3024 3402 3888 4536 6048 6804 7776 9072 13608 18144 27216 54432 92399 184798 277197 369596 554394 646793 739192 831591 1108788 1293586 1478384 1663182 1940379 2217576 2494773 2587172 2956768 3326364 3880758 4435152 4989546 5174344 5821137 6652728 7484319 7761516 8870304 9979092 10348688 11642274 13305456 14968638 15523032 17463411 19958184 20697376 22452957 23284548 26610912 29937276 31046064 34926822 39916368 44905914 46569096 52390233 59874552 62092128 69853644 79832736 89811828 93138192 104780466 119749104 139707288 157170699 179623656 186276384 209560932 239498208 279414576 314341398 359247312 419121864 558829152 628682796 718494624 838243728 1257365592 1676487456 2514731184 5029462368