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30851290320 = 24351014312953
BaseRepresentation
bin11100101110111000…
…010101010011010000
32221122002010221011020
4130232320111103100
51001140412242240
622101202115440
72141344432554
oct345670252320
987562127136
1030851290320
11120a1827054
125b9004bb80
132ba8865796
1416c9525864
15c087330d0
hex72ee154d0

30851290320 has 160 divisors (see below), whose sum is σ = 96842801664. Its totient is φ = 8123904000.

The previous prime is 30851290259. The next prime is 30851290321. The reversal of 30851290320 is 2309215803.

It is a super-2 number, since 2×308512903202 (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 (30851290321) 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 31 ways as a sum of consecutive naturals, for example, 10445964 + ... + 10448916.

Almost surely, 230851290320 is an apocalyptic number.

30851290320 is a gapful number since it is divisible by the number (30) 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 30851290320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48421400832).

30851290320 is an abundant number, since it is smaller than the sum of its proper divisors (65991511344).

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

30851290320 is a wasteful number, since it uses less digits than its factorization.

30851290320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3501 (or 3495 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 33.

The spelling of 30851290320 in words is "thirty billion, eight hundred fifty-one million, two hundred ninety thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 101 120 202 240 303 404 431 505 606 808 862 1010 1212 1293 1515 1616 1724 2020 2155 2424 2586 2953 3030 3448 4040 4310 4848 5172 5906 6060 6465 6896 8080 8620 8859 10344 11812 12120 12930 14765 17240 17718 20688 23624 24240 25860 29530 34480 35436 43531 44295 47248 51720 59060 70872 87062 88590 103440 118120 130593 141744 174124 177180 217655 236240 261186 298253 348248 354360 435310 522372 596506 652965 696496 708720 870620 894759 1044744 1193012 1272743 1305930 1491265 1741240 1789518 2089488 2386024 2545486 2611860 2982530 3482480 3579036 3818229 4473795 4772048 5090972 5223720 5965060 6363715 7158072 7636458 8947590 10181944 10447440 11930120 12727430 14316144 15272916 17895180 19091145 20363888 23860240 25454860 30545832 35790360 38182290 50909720 61091664 71580720 76364580 101819440 128547043 152729160 257094086 305458320 385641129 514188172 642735215 771282258 1028376344 1285470430 1542564516 1928205645 2056752688 2570940860 3085129032 3856411290 5141881720 6170258064 7712822580 10283763440 15425645160 30851290320