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2193989070936 = 2331317961763671
BaseRepresentation
bin11111111011010011111…
…100000111000001011000
321202202001212111200221010
4133323103330013001120
5241421242200232221
64355523224013520
7314340044254365
oct37732374070130
97682055450833
102193989070936
117765136a7013
122b52626012a0
1312bb7a45c090
147829251946c
153c10d8aac76
hex1fed3f07058

2193989070936 has 128 divisors (see below), whose sum is σ = 5949613555200. Its totient is φ = 670203663360.

The previous prime is 2193989070893. The next prime is 2193989070953. The reversal of 2193989070936 is 6390709893912.

It is a happy number.

It is a super-2 number, since 2×21939890709362 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 34426381 + ... + 34490051.

It is an arithmetic number, because the mean of its divisors is an integer number (46481355900).

Almost surely, 22193989070936 is an apocalyptic number.

2193989070936 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2193989070936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2974806777600).

2193989070936 is an abundant number, since it is smaller than the sum of its proper divisors (3755624484264).

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

2193989070936 is a wasteful number, since it uses less digits than its factorization.

2193989070936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64489 (or 64485 counting only the distinct ones).

The product of its (nonzero) digits is 39680928, while the sum is 66.

The spelling of 2193989070936 in words is "two trillion, one hundred ninety-three billion, nine hundred eighty-nine million, seventy thousand, nine hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 104 156 179 312 358 537 617 716 1074 1234 1432 1851 2148 2327 2468 3702 4296 4654 4936 6981 7404 8021 9308 13962 14808 16042 18616 24063 27924 32084 48126 55848 63671 64168 96252 110443 127342 191013 192504 220886 254684 331329 382026 441772 509368 662658 764052 827723 883544 1325316 1435759 1528104 1655446 2483169 2650632 2871518 3310892 4307277 4966338 5743036 6621784 8614554 9932676 11397109 11486072 17229108 19865352 22794218 34191327 34458216 39285007 45588436 68382654 78570014 91176872 117855021 136765308 148162417 157140028 235710042 273530616 296324834 314280056 444487251 471420084 510705091 592649668 888974502 942840168 1021410182 1185299336 1532115273 1777949004 2042820364 3064230546 3555898008 4085640728 6128461092 7032016253 12256922184 14064032506 21096048759 28128065012 42192097518 56256130024 84384195036 91416211289 168768390072 182832422578 274248633867 365664845156 548497267734 731329690312 1096994535468 2193989070936