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30641671296 = 273226598673
BaseRepresentation
bin11100100010011000…
…101100110010000000
32221002110201011220200
4130202120230302000
51000223231440141
622024313205200
72133220623435
oct344230546200
987073634820
1030641671296
1111aa4474195
125b31a00800
132b742c1162
1416a975bb8c
15be5128ab6
hex72262cc80

30641671296 has 48 divisors (see below), whose sum is σ = 88174604310. Its totient is φ = 10213890048.

The previous prime is 30641671211. The next prime is 30641671297. The reversal of 30641671296 is 69217614603.

It can be written as a sum of positive squares in only one way, i.e., 24598785600 + 6042885696 = 156840^2 + 77736^2 .

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×306416712962 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (30641671297) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 13298185 + ... + 13300488.

Almost surely, 230641671296 is an apocalyptic number.

30641671296 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

30641671296 is an abundant number, since it is smaller than the sum of its proper divisors (57532933014).

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

30641671296 is a wasteful number, since it uses less digits than its factorization.

30641671296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26598693 (or 26598678 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The spelling of 30641671296 in words is "thirty billion, six hundred forty-one million, six hundred seventy-one thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 1152 26598673 53197346 79796019 106394692 159592038 212789384 239388057 319184076 425578768 478776114 638368152 851157536 957552228 1276736304 1702315072 1915104456 2553472608 3404630144 3830208912 5106945216 7660417824 10213890432 15320835648 30641671296