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5214056980 = 2251124314999
BaseRepresentation
bin1001101101100100…
…00011001000010100
3111110101011112112111
410312302003020110
541134244310410
62221215200404
7243131516206
oct46662031024
914411145474
105214056980
112236221200
121016216104
136512c8222
143766a2776
15207b3ab8a
hex136c83214

5214056980 has 72 divisors (see below), whose sum is σ = 12065760000. Its totient is φ = 1891243200.

The previous prime is 5214056971. The next prime is 5214056987. The reversal of 5214056980 is 896504125.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5214056987) 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 23 ways as a sum of consecutive naturals, for example, 1040521 + ... + 1045519.

It is an arithmetic number, because the mean of its divisors is an integer number (167580000).

Almost surely, 25214056980 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 5214056980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6032880000).

5214056980 is an abundant number, since it is smaller than the sum of its proper divisors (6851703020).

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

5214056980 is a wasteful number, since it uses less digits than its factorization.

5214056980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5461 (or 5448 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 40.

The square root of 5214056980 is about 72208.4273475056. The cubic root of 5214056980 is about 1734.0379222124.

The spelling of 5214056980 in words is "five billion, two hundred fourteen million, fifty-six thousand, nine hundred eighty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 121 220 242 431 484 605 862 1210 1724 2155 2420 4310 4741 4999 8620 9482 9998 18964 19996 23705 24995 47410 49990 52151 54989 94820 99980 104302 109978 208604 219956 260755 274945 521510 549890 604879 1043020 1099780 1209758 2154569 2419516 3024395 4309138 6048790 8618276 10772845 12097580 21545690 23700259 43091380 47400518 94801036 118501295 237002590 260702849 474005180 521405698 1042811396 1303514245 2607028490 5214056980