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10490194666448 = 247616637231347
BaseRepresentation
bin1001100010100111000001…
…0100111010001111010000
31101010212000200222102002222
42120221300110322033100
52333332404313311243
634151043502000212
72131614542303450
oct230516024721720
941125020872088
1010490194666448
113384959457272
1212150a0b76068
135b12b4a26583
14283a29dc3d60
15132d19d1c168
hex98a7053a3d0

10490194666448 has 80 divisors (see below), whose sum is σ = 23612739057024. Its totient is φ = 4421410721280.

The previous prime is 10490194666439. The next prime is 10490194666531. The reversal of 10490194666448 is 84466649109401.

It is a Cunningham number, because it is equal to 32388572-1.

It is a super-2 number, since 2×104901946664482 (a number of 27 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 (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 45228311 + ... + 45459657.

Almost surely, 210490194666448 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10490194666448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11806369528512).

10490194666448 is an abundant number, since it is smaller than the sum of its proper divisors (13122544390576).

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

10490194666448 is a wasteful number, since it uses less digits than its factorization.

10490194666448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 238060 (or 238054 counting only the distinct ones).

The product of its (nonzero) digits is 35831808, while the sum is 62.

The spelling of 10490194666448 in words is "ten trillion, four hundred ninety billion, one hundred ninety-four million, six hundred sixty-six thousand, four hundred forty-eight".

Divisors: 1 2 4 7 8 14 16 28 56 61 112 122 244 427 488 854 976 1708 3416 6637 6832 13274 26548 46459 53096 92918 106192 185836 231347 371672 404857 462694 743344 809714 925388 1619428 1619429 1850776 2833999 3238856 3238858 3701552 5667998 6477712 6477716 11335996 12955432 14112167 22671992 25910864 28224334 45343984 56448668 98785169 112897336 197570338 225794672 395140676 790281352 1535450039 1580562704 3070900078 6141800156 10748150273 12283600312 21496300546 24567200624 42992601092 85985202184 93662452379 171970404368 187324904758 374649809516 655637166653 749299619032 1311274333306 1498599238064 2622548666612 5245097333224 10490194666448