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2191625611396 = 221329725872
BaseRepresentation
bin11111111001000111000…
…100001110100010000100
321202111222011020111221121
4133321013010032202010
5241401422124031041
64354452514523324
7314224345216654
oct37710704164204
97674864214847
102191625611396
11775510581971
122b4902b96544
1312b8918c8400
147810a68c364
153c0211517d1
hex1fe4710e884

2191625611396 has 81 divisors (see below), whose sum is σ = 4203483134319. Its totient is φ = 999386039808.

The previous prime is 2191625611381. The next prime is 2191625611411. The reversal of 2191625611396 is 6931165261912.

The square root of 2191625611396 is 1480414.

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

It is an interprime number because it is at equal distance from previous prime (2191625611381) and next prime (2191625611411).

It can be written as a sum of positive squares in 4 ways, for example, as 400418121796 + 1791207489600 = 632786^2 + 1338360^2 .

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 3733603815 + ... + 3733604401.

Almost surely, 22191625611396 is an apocalyptic number.

2191625611396 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

2191625611396 is the 1480414-th square number.

It is an amenable number.

2191625611396 is a deficient number, since it is larger than the sum of its proper divisors (2011857522923).

2191625611396 is an frugal number, since it uses more digits than its factorization.

2191625611396 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1398 (or 699 counting only the distinct ones).

The product of its digits is 1049760, while the sum is 52.

The spelling of 2191625611396 in words is "two trillion, one hundred ninety-one billion, six hundred twenty-five million, six hundred eleven thousand, three hundred ninety-six".

Divisors: 1 2 4 13 26 52 97 169 194 338 388 587 676 1174 1261 2348 2522 5044 7631 9409 15262 16393 18818 30524 32786 37636 56939 65572 99203 113878 122317 198406 227756 244634 344569 396812 489268 689138 740207 1378276 1480414 1590121 2960828 3180242 4479397 5523083 6360484 8958794 9622691 11046166 17917588 19245382 22092332 33423193 38490764 58232161 66846386 71800079 116464322 133692772 143600158 232928644 287200316 434501509 869003018 933401027 1738006036 1866802054 3242049721 3733604108 5648519617 6484099442 11297039234 12968198884 22594078468 42146646373 84293292746 168586585492 547906402849 1095812805698 2191625611396