Search a number
-
+
30480655584 = 2534118714139
BaseRepresentation
bin11100011000110010…
…011110010011100000
32220200020201201212210
4130120302132103200
5444411021434314
622000322122120
72126224204041
oct343062362340
986606651783
1030480655584
1111a21598755
125aa7ab0340
132b49b362a2
1416922068c8
15bd5e20559
hex718c9e4e0

30480655584 has 96 divisors (see below), whose sum is σ = 82026846720. Its totient is φ = 9904716800.

The previous prime is 30480655573. The next prime is 30480655609. The reversal of 30480655584 is 48555608403.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7362187 + ... + 7366325.

It is an arithmetic number, because the mean of its divisors is an integer number (854446320).

Almost surely, 230480655584 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 30480655584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41013423360).

30480655584 is an abundant number, since it is smaller than the sum of its proper divisors (51546191136).

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

30480655584 is a wasteful number, since it uses less digits than its factorization.

30480655584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6064 (or 6056 counting only the distinct ones).

The product of its (nonzero) digits is 2304000, while the sum is 48.

The spelling of 30480655584 in words is "thirty billion, four hundred eighty million, six hundred fifty-five thousand, five hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 41 48 82 96 123 164 246 328 492 656 984 1312 1871 1968 3742 3936 4139 5613 7484 8278 11226 12417 14968 16556 22452 24834 29936 33112 44904 49668 59872 66224 76711 89808 99336 132448 153422 169699 179616 198672 230133 306844 339398 397344 460266 509097 613688 678796 920532 1018194 1227376 1357592 1841064 2036388 2454752 2715184 3682128 4072776 5430368 7364256 7744069 8145552 15488138 16291104 23232207 30976276 46464414 61952552 92928828 123905104 185857656 247810208 317506829 371715312 635013658 743430624 952520487 1270027316 1905040974 2540054632 3810081948 5080109264 7620163896 10160218528 15240327792 30480655584