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11972490984 = 2333596115401
BaseRepresentation
bin10110010011001110…
…11011011011101000
31010220101100120002000
423021213123123220
5144004424202414
65300004011000
7602455331346
oct131147333350
933811316060
1011972490984
115094182753
1223a1690a60
13118a5525bc
148180da996
154a1139b09
hex2c99db6e8

11972490984 has 128 divisors (see below), whose sum is σ = 34377264000. Its totient is φ = 3858624000.

The previous prime is 11972490983. The next prime is 11972491039. The reversal of 11972490984 is 48909427911.

11972490984 is a `hidden beast` number, since 1 + 1 + 9 + 72 + 490 + 9 + 84 = 666.

It is a super-2 number, since 2×119724909842 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 11972490984.

It is not an unprimeable number, because it can be changed into a prime (11972490983) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 769684 + ... + 785084.

It is an arithmetic number, because the mean of its divisors is an integer number (268572375).

Almost surely, 211972490984 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 11972490984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17188632000).

11972490984 is an abundant number, since it is smaller than the sum of its proper divisors (22404773016).

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

11972490984 is a wasteful number, since it uses less digits than its factorization.

11972490984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15536 (or 15526 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 54.

The spelling of 11972490984 in words is "eleven billion, nine hundred seventy-two million, four hundred ninety thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 59 61 72 108 118 122 177 183 216 236 244 354 366 472 488 531 549 708 732 1062 1098 1416 1464 1593 1647 2124 2196 3186 3294 3599 4248 4392 6372 6588 7198 10797 12744 13176 14396 15401 21594 28792 30802 32391 43188 46203 61604 64782 86376 92406 97173 123208 129564 138609 184812 194346 259128 277218 369624 388692 415827 554436 777384 831654 908659 939461 1108872 1663308 1817318 1878922 2725977 2818383 3326616 3634636 3757844 5451954 5636766 7269272 7515688 8177931 8455149 10903908 11273532 16355862 16910298 21807816 22547064 24533793 25365447 32711724 33820596 49067586 50730894 55428199 65423448 67641192 98135172 101461788 110856398 166284597 196270344 202923576 221712796 332569194 443425592 498853791 665138388 997707582 1330276776 1496561373 1995415164 2993122746 3990830328 5986245492 11972490984