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4213922150656 = 2817275472
BaseRepresentation
bin111101010100100001010…
…101010011100100000000
3112220211212110221220210001
4331110201111103210000
51023020103032310111
612543503224045344
7613305630200461
oct75244125234400
915824773856701
104213922150656
1113851292196a9
1258082a003854
132474a956a27a
14107d52430d68
15749317d61c1
hex3d521553900

4213922150656 has 81 divisors (see below), whose sum is σ = 8936460183889. Its totient is φ = 1982759432192.

The previous prime is 4213922150651. The next prime is 4213922150657. The reversal of 4213922150656 is 6560512293124.

The square root of 4213922150656 is 2052784.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 3280735238400 + 933186912256 = 1811280^2 + 966016^2 .

It is a super-2 number, since 2×42139221506562 (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (4213922150651) 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 8 ways as a sum of consecutive naturals, for example, 558353475 + ... + 558361021.

Almost surely, 24213922150656 is an apocalyptic number.

4213922150656 is the 2052784-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4213922150656

4213922150656 is an abundant number, since it is smaller than the sum of its proper divisors (4722538033233).

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

4213922150656 is an frugal number, since it uses more digits than its factorization.

4213922150656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15144 (or 7566 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 46.

The spelling of 4213922150656 in words is "four trillion, two hundred thirteen billion, nine hundred twenty-two million, one hundred fifty thousand, six hundred fifty-six".

Divisors: 1 2 4 8 16 17 32 34 64 68 128 136 256 272 289 544 578 1088 1156 2176 2312 4352 4624 7547 9248 15094 18496 30188 36992 60376 73984 120752 128299 241504 256598 483008 513196 966016 1026392 1932032 2052784 2181083 4105568 4362166 8211136 8724332 16422272 17448664 32844544 34897328 56957209 69794656 113914418 139589312 227828836 279178624 455657672 558357248 911315344 968272553 1822630688 1936545106 3645261376 3873090212 7290522752 7746180424 14581045504 15492360848 16460633401 30984721696 32921266802 61969443392 65842533604 123938886784 131685067208 247877773568 263370134416 526740268832 1053480537664 2106961075328 4213922150656