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30004480512 = 293312791697
BaseRepresentation
bin11011111100011010…
…000000101000000000
32212110001201112111000
4123330122000220000
5442422121334022
621441152052000
72111352606366
oct337432005000
985401645430
1030004480512
11117a7824336
125994534000
132aa22a35a6
141648c93636
15ba92116ac
hex6fc680a00

30004480512 has 160 divisors (see below), whose sum is σ = 88937164800. Its totient is φ = 9987784704.

The previous prime is 30004480483. The next prime is 30004480523. The reversal of 30004480512 is 21508440003.

30004480512 is a `hidden beast` number, since 30 + 0 + 0 + 44 + 80 + 512 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 17680048 + ... + 17681744.

It is an arithmetic number, because the mean of its divisors is an integer number (555857280).

Almost surely, 230004480512 is an apocalyptic number.

30004480512 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 30004480512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44468582400).

30004480512 is an abundant number, since it is smaller than the sum of its proper divisors (58932684288).

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

30004480512 is a wasteful number, since it uses less digits than its factorization.

30004480512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3003 (or 2981 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The spelling of 30004480512 in words is "thirty billion, four million, four hundred eighty thousand, five hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 256 288 384 432 512 576 768 864 1152 1279 1536 1697 1728 2304 2558 3394 3456 3837 4608 5091 5116 6788 6912 7674 10182 10232 11511 13576 13824 15273 15348 20364 20464 23022 27152 30546 30696 34533 40728 40928 45819 46044 54304 61092 61392 69066 81456 81856 91638 92088 108608 122184 122784 138132 162912 163712 183276 184176 217216 244368 245568 276264 325824 327424 366552 368352 434432 488736 491136 552528 651648 654848 733104 736704 868864 977472 982272 1105056 1303296 1466208 1473408 1954944 1964544 2170463 2210112 2606592 2932416 2946816 3909888 4340926 4420224 5864832 5893632 6511389 7819776 8681852 8840448 11729664 13022778 17363704 17680896 19534167 23459328 26045556 34727408 39068334 52091112 58602501 69454816 78136668 104182224 117205002 138909632 156273336 208364448 234410004 277819264 312546672 416728896 468820008 555638528 625093344 833457792 937640016 1111277056 1250186688 1666915584 1875280032 2500373376 3333831168 3750560064 5000746752 7501120128 10001493504 15002240256 30004480512