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10996000104 = 2333716774149
BaseRepresentation
bin10100011110110100…
…11010010101101000
31001101022220200102010
422033122122111220
5140004434000404
65015042235520
7536330313225
oct121732322550
931338820363
1010996000104
114732a566a1
12216a655ba0
131063156b4b
1476454c94c
1544554e189
hex28f69a568

10996000104 has 64 divisors (see below), whose sum is σ = 28402416000. Its totient is φ = 3544867584.

The previous prime is 10996000091. The next prime is 10996000109. The reversal of 10996000104 is 40100069901.

10996000104 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (10996000109) 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 15 ways as a sum of consecutive naturals, for example, 111222 + ... + 185370.

It is an arithmetic number, because the mean of its divisors is an integer number (443787750).

Almost surely, 210996000104 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 10996000104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14201208000).

10996000104 is an abundant number, since it is smaller than the sum of its proper divisors (17406415896).

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

10996000104 is a wasteful number, since it uses less digits than its factorization.

10996000104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74362 (or 74358 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 30.

The spelling of 10996000104 in words is "ten billion, nine hundred ninety-six million, one hundred four", and thus it is an aban number.

Divisors: 1 2 3 4 6 8 12 24 37 74 111 148 167 222 296 334 444 501 668 888 1002 1336 2004 4008 6179 12358 18537 24716 37074 49432 74148 74149 148296 148298 222447 296596 444894 593192 889788 1779576 2743513 5487026 8230539 10974052 12382883 16461078 21948104 24765766 32922156 37148649 49531532 65844312 74297298 99063064 148594596 297189192 458166671 916333342 1374500013 1832666684 2749000026 3665333368 5498000052 10996000104