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6121256480 = 25571569947
BaseRepresentation
bin1011011001101101…
…01111011000100000
3120210121020001021222
411230312233120200
5100014020201410
62451223434212
7304455551543
oct55466573040
916717201258
106121256480
112661320659
121229bb5968
13767242871
14420d7485a
1525c5da955
hex16cdaf620

6121256480 has 96 divisors (see below), whose sum is σ = 14706437760. Its totient is φ = 2407229440.

The previous prime is 6121256473. The next prime is 6121256509. The reversal of 6121256480 is 846521216.

It is a self number, because there is not a number n which added to its sum of digits gives 6121256480.

It is an unprimeable number.

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, 6463367 + ... + 6464313.

It is an arithmetic number, because the mean of its divisors is an integer number (153192060).

Almost surely, 26121256480 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 6121256480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7353218880).

6121256480 is an abundant number, since it is smaller than the sum of its proper divisors (8585181280).

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

6121256480 is a wasteful number, since it uses less digits than its factorization.

6121256480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1602 (or 1594 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 35.

The square root of 6121256480 is about 78238.4590850306. The cubic root of 6121256480 is about 1829.2800257359.

Adding to 6121256480 its reverse (846521216), we get a palindrome (6967777696).

The spelling of 6121256480 in words is "six billion, one hundred twenty-one million, two hundred fifty-six thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 71 80 142 160 284 355 568 569 710 947 1136 1138 1420 1894 2272 2276 2840 2845 3788 4552 4735 5680 5690 7576 9104 9470 11360 11380 15152 18208 18940 22760 30304 37880 40399 45520 67237 75760 80798 91040 134474 151520 161596 201995 268948 323192 336185 403990 537896 538843 646384 672370 807980 1075792 1077686 1292768 1344740 1615960 2151584 2155372 2689480 2694215 3231920 4310744 5378960 5388430 6463840 8621488 10757920 10776860 17242976 21553720 38257853 43107440 76515706 86214880 153031412 191289265 306062824 382578530 612125648 765157060 1224251296 1530314120 3060628240 6121256480