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30305594928 = 2437197365029
BaseRepresentation
bin11100001110010110…
…101010111000110000
32220020001022201210210
4130032112222320300
5444031213014203
621531110024120
72122000210110
oct341626527060
986201281723
1030305594928
111194179a024
125a59348040
132b1c7a16bb
141676c77040
15bc5890803
hex70e5aae30

30305594928 has 160 divisors (see below), whose sum is σ = 95474444800. Its totient is φ = 8090523648.

The previous prime is 30305594899. The next prime is 30305594933. The reversal of 30305594928 is 82949550303.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

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, 433518 + ... + 498546.

It is an arithmetic number, because the mean of its divisors is an integer number (596715280).

Almost surely, 230305594928 is an apocalyptic number.

30305594928 is a gapful number since it is divisible by the number (38) 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 30305594928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47737222400).

30305594928 is an abundant number, since it is smaller than the sum of its proper divisors (65168849872).

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

30305594928 is a wasteful number, since it uses less digits than its factorization.

30305594928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65139 (or 65133 counting only the distinct ones).

The product of its (nonzero) digits is 1166400, while the sum is 48.

The spelling of 30305594928 in words is "thirty billion, three hundred five million, five hundred ninety-four thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 19 21 24 28 38 42 48 56 57 73 76 84 112 114 133 146 152 168 219 228 266 292 304 336 399 438 456 511 532 584 798 876 912 1022 1064 1168 1387 1533 1596 1752 2044 2128 2774 3066 3192 3504 4088 4161 5548 6132 6384 8176 8322 9709 11096 12264 16644 19418 22192 24528 29127 33288 38836 58254 65029 66576 77672 116508 130058 155344 195087 233016 260116 390174 455203 466032 520232 780348 910406 1040464 1235551 1365609 1560696 1820812 2471102 2731218 3121392 3641624 3706653 4747117 4942204 5462436 7283248 7413306 8648857 9494234 9884408 10924872 14241351 14826612 17297714 18988468 19768816 21849744 25946571 28482702 29653224 33229819 34595428 37976936 51893142 56965404 59306448 66459638 69190856 75953872 90195223 99689457 103786284 113930808 132919276 138381712 180390446 199378914 207572568 227861616 265838552 270585669 360780892 398757828 415145136 531677104 541171338 631366561 721561784 797515656 1082342676 1262733122 1443123568 1595031312 1894099683 2164685352 2525466244 3788199366 4329370704 5050932488 7576398732 10101864976 15152797464 30305594928