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30065206424 = 231123291034973
BaseRepresentation
bin11100000000000001…
…101010010010011000
32212121021222201202212
4130000001222102120
5443033143101144
621451201414252
72113021016021
oct340001522230
985537881685
1030065206424
1111829030640
1259b093a388
132ab1a45a96
141652d7dc48
15bae70949e
hex70006a498

30065206424 has 128 divisors (see below), whose sum is σ = 67041561600. Its totient is φ = 12496028160.

The previous prime is 30065206403. The next prime is 30065206427. The reversal of 30065206424 is 42460256003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30065206427) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6043202 + ... + 6048174.

It is an arithmetic number, because the mean of its divisors is an integer number (523762200).

Almost surely, 230065206424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30065206424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33520780800).

30065206424 is an abundant number, since it is smaller than the sum of its proper divisors (36976355176).

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

30065206424 is a wasteful number, since it uses less digits than its factorization.

30065206424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5145 (or 5141 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 32.

The spelling of 30065206424 in words is "thirty billion, sixty-five million, two hundred six thousand, four hundred twenty-four".

Divisors: 1 2 4 8 11 22 23 29 44 46 58 88 92 103 116 184 206 232 253 319 412 506 638 667 824 1012 1133 1276 1334 2024 2266 2369 2552 2668 2987 4532 4738 4973 5336 5974 7337 9064 9476 9946 11948 14674 18952 19892 23896 26059 29348 32857 39784 52118 54703 58696 65714 68701 104236 109406 114379 131428 137402 144217 208472 218812 228758 262856 274804 288434 437624 457516 512219 549608 576868 755711 915032 1024438 1153736 1258169 1511422 1586387 2048876 2516338 3022844 3172774 3316991 4097752 5032676 5634409 6045688 6345548 6633982 10065352 11268818 11781037 12691096 13267964 14854351 22537636 23562074 26535928 29708702 36486901 45075272 47124148 59417404 72973802 94248296 118834808 129591407 145947604 163397861 259182814 291895208 326795722 341650073 518365628 653591444 683300146 1036731256 1307182888 1366600292 2733200584 3758150803 7516301606 15032603212 30065206424