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84928120440 = 23352412936657
BaseRepresentation
bin100111100011000011…
…1000100011001111000
322010012210020112100020
41033012013010121320
52342413044323230
6103003200210440
76064412053452
oct1170607043170
9263183215306
1084928120440
1133021789999
1214562309a20
138016117507
1441794892d2
152320e77810
hex13c61c4678

84928120440 has 64 divisors (see below), whose sum is σ = 255841644960. Its totient is φ = 22553518080.

The previous prime is 84928120439. The next prime is 84928120441. The reversal of 84928120440 is 4402182948.

It is an interprime number because it is at equal distance from previous prime (84928120439) and next prime (84928120441).

It is a super-2 number, since 2×849281204402 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 84928120392 and 84928120401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84928120441) 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 15 ways as a sum of consecutive naturals, for example, 1439409 + ... + 1497248.

Almost surely, 284928120440 is an apocalyptic number.

It is an amenable number.

84928120440 is an abundant number, since it is smaller than the sum of its proper divisors (170913524520).

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

84928120440 is a wasteful number, since it uses less digits than its factorization.

84928120440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2936912 (or 2936908 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 42.

The spelling of 84928120440 in words is "eighty-four billion, nine hundred twenty-eight million, one hundred twenty thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 241 482 723 964 1205 1446 1928 2410 2892 3615 4820 5784 7230 9640 14460 28920 2936657 5873314 8809971 11746628 14683285 17619942 23493256 29366570 35239884 44049855 58733140 70479768 88099710 117466280 176199420 352398840 707734337 1415468674 2123203011 2830937348 3538671685 4246406022 5661874696 7077343370 8492812044 10616015055 14154686740 16985624088 21232030110 28309373480 42464060220 84928120440