Search a number
-
+
30437720456 = 23111336772497
BaseRepresentation
bin11100010110001110…
…101100000110001000
32220120020221101221212
4130112032230012020
5444314024023311
621552145552252
72125163232533
oct342616540610
986506841855
1030437720456
11119aa332980
125a95645688
132b40c827a0
14168a62ba1a
15bd228dc8b
hex7163ac188

30437720456 has 64 divisors (see below), whose sum is σ = 67231745280. Its totient is φ = 12736097280.

The previous prime is 30437720429. The next prime is 30437720459. The reversal of 30437720456 is 65402773403.

It is not an unprimeable number, because it can be changed into a prime (30437720459) 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, 383600 + ... + 456096.

It is an arithmetic number, because the mean of its divisors is an integer number (1050496020).

Almost surely, 230437720456 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 30437720456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33615872640).

30437720456 is an abundant number, since it is smaller than the sum of its proper divisors (36794024824).

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

30437720456 is a wasteful number, since it uses less digits than its factorization.

30437720456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72894 (or 72890 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 41.

The spelling of 30437720456 in words is "thirty billion, four hundred thirty-seven million, seven hundred twenty thousand, four hundred fifty-six".

Divisors: 1 2 4 8 11 13 22 26 44 52 88 104 143 286 367 572 734 1144 1468 2936 4037 4771 8074 9542 16148 19084 32296 38168 52481 72497 104962 144994 209924 289988 419848 579976 797467 942461 1594934 1884922 3189868 3769844 6379736 7539688 10367071 20734142 26606399 41468284 53212798 82936568 106425596 212851192 292670389 345883187 585340778 691766374 1170681556 1383532748 2341363112 2767065496 3804715057 7609430114 15218860228 30437720456