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30848179712 = 2973269653
BaseRepresentation
bin11100101110101100…
…011101111000000000
32221121212021220012112
4130232230131320000
51001134113222322
622101011314452
72141306126000
oct345654357000
987555256175
1030848179712
111209aaa1aa9
125b8ababa28
132ba801699c
1416c8d56000
15c0831b5e2
hex72eb1de00

30848179712 has 160 divisors (see below), whose sum is σ = 72256536000. Its totient is φ = 13151330304.

The previous prime is 30848179711. The next prime is 30848179723. The reversal of 30848179712 is 21797184803.

It is a happy number.

It is a super-2 number, since 2×308481797122 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30848179711) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 47240378 + ... + 47241030.

It is an arithmetic number, because the mean of its divisors is an integer number (451603350).

Almost surely, 230848179712 is an apocalyptic number.

30848179712 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 30848179712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36128268000).

30848179712 is an abundant number, since it is smaller than the sum of its proper divisors (41408356288).

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

30848179712 is an frugal number, since it uses more digits than its factorization.

30848179712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 961 (or 931 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 50.

The spelling of 30848179712 in words is "thirty billion, eight hundred forty-eight million, one hundred seventy-nine thousand, seven hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 128 196 224 256 269 343 392 448 512 538 653 686 784 896 1076 1306 1372 1568 1792 1883 2152 2612 2744 3136 3584 3766 4304 4571 5224 5488 6272 7532 8608 9142 10448 10976 12544 13181 15064 17216 18284 20896 21952 25088 26362 30128 31997 34432 36568 41792 43904 52724 60256 63994 68864 73136 83584 87808 92267 105448 120512 127988 137728 146272 167168 175616 175657 184534 210896 223979 241024 255976 292544 334336 351314 369068 421792 447958 482048 511952 585088 702628 738136 843584 895916 964096 1023904 1170176 1229599 1405256 1476272 1687168 1791832 2047808 2340352 2459198 2810512 2952544 3374336 3583664 4095616 4918396 5621024 5905088 6748672 7167328 8191232 8607193 9836792 11242048 11810176 14334656 16382464 17214386 19673584 22484096 23620352 28669312 34428772 39347168 44968192 47240704 57338624 60250351 68857544 78694336 89936384 114677248 120500702 137715088 157388672 241001404 275430176 314777344 482002808 550860352 629554688 964005616 1101720704 1928011232 2203441408 3856022464 4406882816 7712044928 15424089856 30848179712