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3145076616 = 2331167717597
BaseRepresentation
bin1011101101110110…
…0000111110001000
322010012000110001010
42323131200332020
522420114422431
61240025523520
7140636465403
oct27335407610
98105013033
103145076616
11137434a680
127393435a0
133b177b4a6
1421b9acd3a
1513619e846
hexbb760f88

3145076616 has 64 divisors (see below), whose sum is σ = 8590639680. Its totient is φ = 951591680.

The previous prime is 3145076609. The next prime is 3145076617. The reversal of 3145076616 is 6166705413.

It is a super-2 number, since 2×31450766162 = 19783013841020022912, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3145076617) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 169930 + ... + 187526.

It is an arithmetic number, because the mean of its divisors is an integer number (134228745).

Almost surely, 23145076616 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 3145076616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4295319840).

3145076616 is an abundant number, since it is smaller than the sum of its proper divisors (5445563064).

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

3145076616 is a wasteful number, since it uses less digits than its factorization.

3145076616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18294 (or 18290 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 39.

The square root of 3145076616 is about 56080.9826590084. The cubic root of 3145076616 is about 1465.1330884306.

It can be divided in two parts, 314507 and 6616, that added together give a palindrome (321123).

The spelling of 3145076616 in words is "three billion, one hundred forty-five million, seventy-six thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 264 677 1354 2031 2708 4062 5416 7447 8124 14894 16248 17597 22341 29788 35194 44682 52791 59576 70388 89364 105582 140776 178728 193567 211164 387134 422328 580701 774268 1161402 1548536 2322804 4645608 11913169 23826338 35739507 47652676 71479014 95305352 131044859 142958028 262089718 285916056 393134577 524179436 786269154 1048358872 1572538308 3145076616