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10996570452 = 22371994611427
BaseRepresentation
bin10100011110111001…
…00101100101010100
31001101100222122210010
422033130211211110
5140010110223302
65015102400220
7536335210110
oct121734454524
931340878703
1010996570452
11473330615a
12216a890070
1310632c662a
1476465a740
1544561316c
hex28f725954

10996570452 has 96 divisors (see below), whose sum is σ = 29556172800. Its totient is φ = 3117121920.

The previous prime is 10996570451. The next prime is 10996570493. The reversal of 10996570452 is 25407569901.

10996570452 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10996570451) 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 31 ways as a sum of consecutive naturals, for example, 7705363 + ... + 7706789.

It is an arithmetic number, because the mean of its divisors is an integer number (307876800).

Almost surely, 210996570452 is an apocalyptic number.

10996570452 is a gapful number since it is divisible by the number (12) 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 10996570452, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14778086400).

10996570452 is an abundant number, since it is smaller than the sum of its proper divisors (18559602348).

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

10996570452 is a wasteful number, since it uses less digits than its factorization.

10996570452 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2101 (or 2099 counting only the distinct ones).

The product of its (nonzero) digits is 680400, while the sum is 48.

The spelling of 10996570452 in words is "ten billion, nine hundred ninety-six million, five hundred seventy thousand, four hundred fifty-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 199 398 461 597 796 922 1194 1383 1393 1427 1844 2388 2766 2786 2854 3227 4179 4281 5532 5572 5708 6454 8358 8562 9681 9989 12908 16716 17124 19362 19978 29967 38724 39956 59934 91739 119868 183478 275217 283973 366956 550434 567946 642173 657847 851919 1100868 1135892 1284346 1315694 1703838 1926519 1973541 1987811 2568692 2631388 3407676 3853038 3947082 3975622 4604929 5963433 7706076 7894164 7951244 9209858 11926866 13814787 18419716 23853732 27629574 55259148 130911553 261823106 392734659 523646212 785469318 916380871 1570938636 1832761742 2749142613 3665523484 5498285226 10996570452