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30471343872 = 283432114373
BaseRepresentation
bin11100011000001110…
…111100111100000000
32220122121012122121120
4130120032330330000
5444401131000442
621555350352240
72126052102144
oct343016747400
986577178546
1030471343872
1111a17308722
125aa495b680
132b47c25ab8
141690ca1224
15bd51d14ec
hex7183bcf00

30471343872 has 144 divisors (see below), whose sum is σ = 83396573568. Its totient is φ = 9871626240.

The previous prime is 30471343853. The next prime is 30471343891. The reversal of 30471343872 is 27834317403.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (30471343853) and next prime (30471343891).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6965878 + ... + 6970250.

It is an arithmetic number, because the mean of its divisors is an integer number (579142872).

Almost surely, 230471343872 is an apocalyptic number.

30471343872 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30471343872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41698286784).

30471343872 is an abundant number, since it is smaller than the sum of its proper divisors (52925229696).

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

30471343872 is a wasteful number, since it uses less digits than its factorization.

30471343872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4646 (or 4632 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 42.

The spelling of 30471343872 in words is "thirty billion, four hundred seventy-one million, three hundred forty-three thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 43 48 64 86 96 128 129 172 192 211 256 258 344 384 422 516 633 688 768 844 1032 1266 1376 1688 2064 2532 2752 3376 4128 4373 5064 5504 6752 8256 8746 9073 10128 11008 13119 13504 16512 17492 18146 20256 26238 27008 27219 33024 34984 36292 40512 52476 54016 54438 69968 72584 81024 104952 108876 139936 145168 162048 188039 209904 217752 279872 290336 376078 419808 435504 559744 564117 580672 752156 839616 871008 922703 1119488 1128234 1161344 1504312 1679232 1742016 1845406 2256468 2322688 2768109 3008624 3358464 3484032 3690812 4512936 5536218 6017248 6968064 7381624 9025872 11072436 12034496 14763248 18051744 22144872 24068992 29526496 36103488 39676229 44289744 48137984 59052992 72206976 79352458 88579488 118105984 119028687 144413952 158704916 177158976 236211968 238057374 317409832 354317952 476114748 634819664 708635904 952229496 1269639328 1904458992 2539278656 3808917984 5078557312 7617835968 10157114624 15235671936 30471343872