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30541451520 = 283567118709
BaseRepresentation
bin11100011100011010…
…011001000100000000
32220211111010111020010
4130130122121010000
51000022102422040
622010333144520
72130563024466
oct343432310400
986744114203
1030541451520
1111a52942628
125b0432b140
132b59601608
14169a310836
15bdb42de80
hex71c699100

30541451520 has 144 divisors (see below), whose sum is σ = 98998441920. Its totient is φ = 8022761472.

The previous prime is 30541451477. The next prime is 30541451537. The reversal of 30541451520 is 2515414503.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 197926 + ... + 316634.

It is an arithmetic number, because the mean of its divisors is an integer number (687489180).

Almost surely, 230541451520 is an apocalyptic number.

30541451520 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 30541451520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49499220960).

30541451520 is an abundant number, since it is smaller than the sum of its proper divisors (68456990400).

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

30541451520 is a wasteful number, since it uses less digits than its factorization.

30541451520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118800 (or 118786 counting only the distinct ones).

The product of its (nonzero) digits is 12000, while the sum is 30.

The spelling of 30541451520 in words is "thirty billion, five hundred forty-one million, four hundred fifty-one thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 67 80 96 120 128 134 160 192 201 240 256 268 320 335 384 402 480 536 640 670 768 804 960 1005 1072 1280 1340 1608 1920 2010 2144 2680 3216 3840 4020 4288 5360 6432 8040 8576 10720 12864 16080 17152 21440 25728 32160 42880 51456 64320 85760 118709 128640 237418 257280 356127 474836 593545 712254 949672 1187090 1424508 1780635 1899344 2374180 2849016 3561270 3798688 4748360 5698032 7122540 7597376 7953503 9496720 11396064 14245080 15194752 15907006 18993440 22792128 23860509 28490160 30389504 31814012 37986880 39767515 45584256 47721018 56980320 63628024 75973760 79535030 91168512 95442036 113960640 119302545 127256048 151947520 159070060 190884072 227921280 238605090 254512096 318140120 381768144 455842560 477210180 509024192 636280240 763536288 954420360 1018048384 1272560480 1527072576 1908840720 2036096768 2545120960 3054145152 3817681440 5090241920 6108290304 7635362880 10180483840 15270725760 30541451520