Search a number
-
+
10649951359488 = 293372233122051
BaseRepresentation
bin1001101011111010001010…
…0100010101001000000000
31101201010101102101021201000
42122332202210111020000
52343442100022000423
634352304202212000
72146301502632100
oct232764244251000
941633342337630
1010649951359488
1134366899982a1
1212400471b4000
135c339475507c
1428b663481200
1513706a248843
hex9afa2915200

10649951359488 has 960 divisors, whose sum is σ = 39502054563840. Its totient is φ = 2816529408000.

The previous prime is 10649951359483. The next prime is 10649951359513. The reversal of 10649951359488 is 88495315994601.

10649951359488 is a `hidden beast` number, since 1 + 0 + 6 + 4 + 9 + 9 + 5 + 135 + 9 + 488 = 666.

It is a super-2 number, since 2×106499513594882 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (10649951359483) 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 95 ways as a sum of consecutive naturals, for example, 482958063 + ... + 482980113.

It is an arithmetic number, because the mean of its divisors is an integer number (41147973504).

Almost surely, 210649951359488 is an apocalyptic number.

10649951359488 is a gapful number since it is divisible by the number (18) 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 10649951359488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19751027281920).

10649951359488 is an abundant number, since it is smaller than the sum of its proper divisors (28852103204352).

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

10649951359488 is a wasteful number, since it uses less digits than its factorization.

10649951359488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22146 (or 22117 counting only the distinct ones).

The product of its (nonzero) digits is 335923200, while the sum is 72.

The spelling of 10649951359488 in words is "ten trillion, six hundred forty-nine billion, nine hundred fifty-one million, three hundred fifty-nine thousand, four hundred eighty-eight".