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7720628949216 = 2532191410933653
BaseRepresentation
bin111000001011001100101…
…0110001001000011100000
31000100002021220110120111100
41300112121112021003200
52002443322002333331
624230450304514400
71424540245160631
oct160263126110340
930302256416440
107720628949216
1125073338468a7
12a4838701ba00
1344008a8636a1
141c9975183888
15d5c7085cae6
hex705995890e0

7720628949216 has 72 divisors (see below), whose sum is σ = 23111093252520. Its totient is φ = 2438093350656.

The previous prime is 7720628949133. The next prime is 7720628949217. The reversal of 7720628949216 is 6129498260277.

7720628949216 is a `hidden beast` number, since 7 + 7 + 2 + 0 + 62 + 89 + 492 + 1 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×77206289492162 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7720628949217) 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 11 ways as a sum of consecutive naturals, for example, 705461355 + ... + 705472298.

It is an arithmetic number, because the mean of its divisors is an integer number (320987406285).

Almost surely, 27720628949216 is an apocalyptic number.

7720628949216 is a gapful number since it is divisible by the number (76) formed by its first and last digit.

It is an amenable number.

7720628949216 is an abundant number, since it is smaller than the sum of its proper divisors (15390464303304).

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

7720628949216 is a wasteful number, since it uses less digits than its factorization.

7720628949216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1410933688 (or 1410933677 counting only the distinct ones).

The product of its (nonzero) digits is 36578304, while the sum is 63.

The spelling of 7720628949216 in words is "seven trillion, seven hundred twenty billion, six hundred twenty-eight million, nine hundred forty-nine thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 32 36 38 48 57 72 76 96 114 144 152 171 228 288 304 342 456 608 684 912 1368 1824 2736 5472 1410933653 2821867306 4232800959 5643734612 8465601918 11287469224 12698402877 16931203836 22574938448 25396805754 26807739407 33862407672 45149876896 50793611508 53615478814 67724815344 80423218221 101587223016 107230957628 135449630688 160846436442 203174446032 214461915256 241269654663 321692872884 406348892064 428923830512 482539309326 643385745768 857847661024 965078618652 1286771491536 1930157237304 2573542983072 3860314474608 7720628949216