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30421564544 = 27731936469
BaseRepresentation
bin11100010101010001…
…000011110010000000
32220112010112121012202
4130111101003302000
5444300410031134
621550411412332
72124606014000
oct342521036200
986463477182
1030421564544
11119a11a8788
125a901540a8
132b3a816c87
141688424000
15bd0b4bd7e
hex715443c80

30421564544 has 128 divisors (see below), whose sum is σ = 74398800000. Its totient is φ = 12351273984.

The previous prime is 30421564531. The next prime is 30421564571. The reversal of 30421564544 is 44546512403.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a junction number, because it is equal to n+sod(n) for n = 30421564498 and 30421564507.

It is a congruent number.

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, 815942 + ... + 852410.

It is an arithmetic number, because the mean of its divisors is an integer number (581240625).

Almost surely, 230421564544 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 30421564544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37199400000).

30421564544 is an abundant number, since it is smaller than the sum of its proper divisors (43977235456).

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

30421564544 is an equidigital number, since it uses as much as digits as its factorization.

30421564544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36523 (or 36497 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 38.

The spelling of 30421564544 in words is "thirty billion, four hundred twenty-one million, five hundred sixty-four thousand, five hundred forty-four".

Divisors: 1 2 4 7 8 14 16 19 28 32 38 49 56 64 76 98 112 128 133 152 196 224 266 304 343 392 448 532 608 686 784 896 931 1064 1216 1372 1568 1862 2128 2432 2744 3136 3724 4256 5488 6272 6517 7448 8512 10976 13034 14896 17024 21952 26068 29792 36469 43904 52136 59584 72938 104272 119168 145876 208544 255283 291752 417088 510566 583504 692911 834176 1021132 1167008 1385822 1786981 2042264 2334016 2771644 3573962 4084528 4668032 4850377 5543288 7147924 8169056 9700754 11086576 12508867 14295848 16338112 19401508 22173152 25017734 28591696 32676224 33952639 38803016 44346304 50035468 57183392 67905278 77606032 88692608 100070936 114366784 135810556 155212064 200141872 228733568 237668473 271621112 310424128 400283744 475336946 543242224 620848256 800567488 950673892 1086484448 1601134976 1901347784 2172968896 3802695568 4345937792 7605391136 15210782272 30421564544