Search a number
-
+
730979420402880 = 2632511233836134273
BaseRepresentation
bin1010011000110100100110100…
…0101100001111010011000000
310112212011221122122012000221100
42212031021220230033103000
51231302331323110343010
611110355150532454400
7306653343321152355
oct24615115054172300
93485157578160840
10730979420402880
111a1a046a4250160
1269b98860a7a400
13254b50a987ba2c
14cc718425d662c
1559796bb4242c0
hex298d268b0f4c0

730979420402880 has 1344 divisors, whose sum is σ = 2874914443395072. Its totient is φ = 168744617902080.

The previous prime is 730979420402867. The next prime is 730979420402953. The reversal of 730979420402880 is 88204024979037.

730979420402880 is a `hidden beast` number, since 7 + 3 + 0 + 9 + 79 + 420 + 40 + 28 + 80 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 171069368424 + ... + 171069372696.

Almost surely, 2730979420402880 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 730979420402880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1437457221697536).

730979420402880 is an abundant number, since it is smaller than the sum of its proper divisors (2143935022992192).

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

730979420402880 is a wasteful number, since it uses less digits than its factorization.

730979420402880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5326 (or 5313 counting only the distinct ones).

The product of its (nonzero) digits is 48771072, while the sum is 63.

The spelling of 730979420402880 in words is "seven hundred thirty trillion, nine hundred seventy-nine billion, four hundred twenty million, four hundred two thousand, eight hundred eighty".