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10219824347716 = 224727124792
BaseRepresentation
bin1001010010110111110011…
…1111111111101001000100
31100012000011010112010221101
42110231330333333221010
52314420200013111331
633422531131425444
72103233526435364
oct224557477775104
940160133463841
1010219824347716
113290226461065
1211908065b5284
13591957641359
142748dc0509a4
1512ac939d8061
hex94b7cfffa44

10219824347716 has 81 divisors (see below), whose sum is σ = 18573084367327. Its totient is φ = 4920457489360.

The previous prime is 10219824347699. The next prime is 10219824347749. The reversal of 10219824347716 is 61774342891201.

It is a happy number.

The square root of 10219824347716 is 3196846.

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

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 21335749965 + ... + 21335750443.

Almost surely, 210219824347716 is an apocalyptic number.

10219824347716 is the 3196846-th square number.

It is an amenable number.

10219824347716 is a deficient number, since it is larger than the sum of its proper divisors (8353260019611).

10219824347716 is an frugal number, since it uses more digits than its factorization.

10219824347716 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1198 (or 599 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 55.

The spelling of 10219824347716 in words is "ten trillion, two hundred nineteen billion, eight hundred twenty-four million, three hundred forty-seven thousand, seven hundred sixteen".

Divisors: 1 2 4 47 71 94 142 188 284 479 958 1916 2209 3337 4418 5041 6674 8836 10082 13348 20164 22513 34009 45026 68018 90052 136036 156839 229441 236927 313678 458882 473854 627356 917764 947708 1058111 1598423 2116222 2414639 3196846 4232444 4829278 6393692 9658556 10783727 11135569 16290311 21567454 22271138 32580622 43134908 44542276 65161244 75125881 113488033 150251762 226976066 300503524 453952132 506835169 765644617 1013670338 1156612081 1531289234 2027340676 2313224162 3062578468 4626448324 5333937551 10667875102 21335750204 35985296999 54360767807 71970593998 108721535614 143941187996 217443071228 2554956086929 5109912173858 10219824347716