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3148541964 = 2232895711721
BaseRepresentation
bin1011101110101010…
…1111000000001100
322010102112111121100
42323222233000030
522422011320324
61240232103100
7141011110431
oct27352570014
98112474540
103148541964
1113762a71a7
1273a534a90
133b23c28a9
1421c231b88
151366364c9
hexbbaaf00c

3148541964 has 72 divisors (see below), whose sum is σ = 8067018960. Its totient is φ = 1035302400.

The previous prime is 3148541941. The next prime is 3148541971. The reversal of 3148541964 is 4691458413.

3148541964 is a `hidden beast` number, since 3 + 1 + 48 + 541 + 9 + 64 = 666.

3148541964 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1828624 + ... + 1830344.

It is an arithmetic number, because the mean of its divisors is an integer number (112041930).

Almost surely, 23148541964 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 3148541964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4033509480).

3148541964 is an abundant number, since it is smaller than the sum of its proper divisors (4918476996).

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

3148541964 is a wasteful number, since it uses less digits than its factorization.

3148541964 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2391 (or 2386 counting only the distinct ones).

The product of its digits is 414720, while the sum is 45.

The square root of 3148541964 is about 56111.8700811156. The cubic root of 3148541964 is about 1465.6710013909.

The spelling of 3148541964 in words is "three billion, one hundred forty-eight million, five hundred forty-one thousand, nine hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 36 89 178 267 356 534 571 801 1068 1142 1602 1713 1721 2284 3204 3426 3442 5139 5163 6852 6884 10278 10326 15489 20556 20652 30978 50819 61956 101638 152457 153169 203276 304914 306338 457371 459507 609828 612676 914742 919014 982691 1378521 1829484 1838028 1965382 2757042 2948073 3930764 5514084 5896146 8844219 11792292 17688438 35376876 87459499 174918998 262378497 349837996 524756994 787135491 1049513988 1574270982 3148541964