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6141162620 = 22517314011453
BaseRepresentation
bin1011011100000101…
…01011010001111100
3120211222200101101102
411232002223101330
5100034114200440
62453214232232
7305120010125
oct55602532174
916758611342
106141162620
11267158740a
1212347b5678
1376b3c2348
1442387704c
1525e21db15
hex16e0ab47c

6141162620 has 96 divisors (see below), whose sum is σ = 14140417536. Its totient is φ = 2230272000.

The previous prime is 6141162619. The next prime is 6141162623. The reversal of 6141162620 is 262611416.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6141162623) 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 31 ways as a sum of consecutive naturals, for example, 4225814 + ... + 4227266.

It is an arithmetic number, because the mean of its divisors is an integer number (147296016).

Almost surely, 26141162620 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 6141162620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7070208768).

6141162620 is an abundant number, since it is smaller than the sum of its proper divisors (7999254916).

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

6141162620 is a wasteful number, since it uses less digits than its factorization.

6141162620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1911 (or 1909 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 29.

The square root of 6141162620 is about 78365.5703737298. The cubic root of 6141162620 is about 1831.2608011570.

The spelling of 6141162620 in words is "six billion, one hundred forty-one million, one hundred sixty-two thousand, six hundred twenty".

Divisors: 1 2 4 5 10 17 20 31 34 62 68 85 124 155 170 310 340 401 527 620 802 1054 1453 1604 2005 2108 2635 2906 4010 5270 5812 6817 7265 8020 10540 12431 13634 14530 24701 24862 27268 29060 34085 45043 49402 49724 62155 68170 90086 98804 123505 124310 136340 180172 211327 225215 247010 248620 422654 450430 494020 582653 765731 845308 900860 1056635 1165306 1531462 2113270 2330612 2913265 3062924 3828655 4226540 5826530 7657310 9905101 11653060 15314620 18062243 19810202 36124486 39620404 49525505 72248972 90311215 99051010 180622430 198102020 307058131 361244860 614116262 1228232524 1535290655 3070581310 6141162620