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30503466560 = 265715978527
BaseRepresentation
bin11100011010001001…
…011111011001000000
32220201211122122122202
4130122021133121000
5444432341412220
622002455052332
72126622121250
oct343211373100
986654578582
1030503466560
1111a334589a6
125ab36710a8
132b51791cc8
141695263960
15bd7e29275
hex71a25f640

30503466560 has 112 divisors (see below), whose sum is σ = 83074727424. Its totient is φ = 10450556928.

The previous prime is 30503466559. The next prime is 30503466563. The reversal of 30503466560 is 6566430503.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×305034665602 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (30503466563) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3573017 + ... + 3581543.

Almost surely, 230503466560 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 30503466560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41537363712).

30503466560 is an abundant number, since it is smaller than the sum of its proper divisors (52571260864).

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

30503466560 is a wasteful number, since it uses less digits than its factorization.

30503466560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10148 (or 10138 counting only the distinct ones).

The product of its (nonzero) digits is 194400, while the sum is 38.

The spelling of 30503466560 in words is "thirty billion, five hundred three million, four hundred sixty-six thousand, five hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 140 160 224 280 320 448 560 1120 1597 2240 3194 6388 7985 8527 11179 12776 15970 17054 22358 25552 31940 34108 42635 44716 51104 55895 59689 63880 68216 85270 89432 102208 111790 119378 127760 136432 170540 178864 223580 238756 255520 272864 298445 341080 357728 447160 477512 511040 545728 596890 682160 715456 894320 955024 1193780 1364320 1788640 1910048 2387560 2728640 3577280 3820096 4775120 9550240 13617619 19100480 27235238 54470476 68088095 95323333 108940952 136176190 190646666 217881904 272352380 381293332 435763808 476616665 544704760 762586664 871527616 953233330 1089409520 1525173328 1906466660 2178819040 3050346656 3812933320 4357638080 6100693312 7625866640 15251733280 30503466560