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30182780496 = 2431169182727
BaseRepresentation
bin11100000111000010…
…001010111001010000
32212220111020010002010
4130013002022321100
5443303242433441
621511001422520
72115646254411
oct340702127120
985814203063
1030182780496
11118894357a0
125a2419aa40
132b0020073b
141664827808
15bb9bd1116
hex70708ae50

30182780496 has 80 divisors (see below), whose sum is σ = 85184690688. Its totient is φ = 9132950400.

The previous prime is 30182780491. The next prime is 30182780497. The reversal of 30182780496 is 69408728103.

It is a super-2 number, since 2×301827804962 (a number of 22 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30182780491) 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, 323485 + ... + 406211.

Almost surely, 230182780496 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 30182780496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42592345344).

30182780496 is an abundant number, since it is smaller than the sum of its proper divisors (55001910192).

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

30182780496 is a wasteful number, since it uses less digits than its factorization.

30182780496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83440 (or 83434 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 48.

The spelling of 30182780496 in words is "thirty billion, one hundred eighty-two million, seven hundred eighty thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 132 176 264 528 691 1382 2073 2764 4146 5528 7601 8292 11056 15202 16584 22803 30404 33168 45606 60808 82727 91212 121616 165454 182424 248181 330908 364848 496362 661816 909997 992724 1323632 1819994 1985448 2729991 3639988 3970896 5459982 7279976 10919964 14559952 21839928 43679856 57164357 114328714 171493071 228657428 342986142 457314856 628807927 685972284 914629712 1257615854 1371944568 1886423781 2515231708 2743889136 3772847562 5030463416 7545695124 10060926832 15091390248 30182780496