Search a number
-
+
9948939792 = 24311149126461
BaseRepresentation
bin10010100010000000…
…01100011000010000
3221200100200111200120
421101000030120100
5130333412033132
64323120150240
7501354410241
oct112100143020
927610614616
109948939792
114245a0a7a0
121b17a68380
13c2725062c
146a5470cc8
153d367402c
hex25100c610

9948939792 has 80 divisors (see below), whose sum is σ = 28226318400. Its totient is φ = 2994572800.

The previous prime is 9948939761. The next prime is 9948939821. The reversal of 9948939792 is 2979398499.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15442 + ... + 141902.

It is an arithmetic number, because the mean of its divisors is an integer number (352828980).

Almost surely, 29948939792 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 9948939792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14113159200).

9948939792 is an abundant number, since it is smaller than the sum of its proper divisors (18277378608).

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

9948939792 is a wasteful number, since it uses less digits than its factorization.

9948939792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126632 (or 126626 counting only the distinct ones).

The product of its digits is 79361856, while the sum is 69.

The square root of 9948939792 is about 99744.3722322217. The cubic root of 9948939792 is about 2150.7615684619.

The spelling of 9948939792 in words is "nine billion, nine hundred forty-eight million, nine hundred thirty-nine thousand, seven hundred ninety-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 132 149 176 264 298 447 528 596 894 1192 1639 1788 2384 3278 3576 4917 6556 7152 9834 13112 19668 26224 39336 78672 126461 252922 379383 505844 758766 1011688 1391071 1517532 2023376 2782142 3035064 4173213 5564284 6070128 8346426 11128568 16692852 18842689 22257136 33385704 37685378 56528067 66771408 75370756 113056134 150741512 207269579 226112268 301483024 414539158 452224536 621808737 829078316 904449072 1243617474 1658156632 2487234948 3316313264 4974469896 9948939792