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730453052406 = 237112569252607
BaseRepresentation
bin10101010000100100110…
…01010000101111110110
32120211102112021202011210
422220102121100233312
543431431440134111
61315322051542250
7103526210333610
oct12502231205766
92524375252153
10730453052406
11261868783700
12b96972ba986
1353b5c65a18c
14274d59a3db0
15140028740a6
hexaa12650bf6

730453052406 has 96 divisors (see below), whose sum is σ = 1838420398080. Its totient is φ = 189393874560.

The previous prime is 730453052401. The next prime is 730453052411. The reversal of 730453052406 is 604250354037.

It is an interprime number because it is at equal distance from previous prime (730453052401) and next prime (730453052411).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (730453052401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2765355 + ... + 3017961.

It is an arithmetic number, because the mean of its divisors is an integer number (19150212480).

Almost surely, 2730453052406 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 730453052406, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (919210199040).

730453052406 is an abundant number, since it is smaller than the sum of its proper divisors (1107967345674).

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

730453052406 is a wasteful number, since it uses less digits than its factorization.

730453052406 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 253210 (or 253199 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 39.

The spelling of 730453052406 in words is "seven hundred thirty billion, four hundred fifty-three million, fifty-two thousand, four hundred six".

Divisors: 1 2 3 6 7 11 14 21 22 33 42 66 77 121 154 231 242 363 462 569 726 847 1138 1694 1707 2541 3414 3983 5082 6259 7966 11949 12518 18777 23898 37554 43813 68849 87626 131439 137698 206547 252607 262878 413094 481943 505214 757821 963886 1445829 1515642 1768249 2778677 2891658 3536498 5304747 5557354 8336031 10609494 16672062 19450739 30565447 38901478 58352217 61130894 91696341 116704434 143733383 183392682 213958129 287466766 427916258 431200149 641874387 862400298 1006133681 1283748774 1581067213 2012267362 3018401043 3162134426 4743201639 6036802086 9486403278 11067470491 17391739343 22134940982 33202411473 34783478686 52175218029 66404822946 104350436058 121742175401 243484350802 365226526203 730453052406