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11491127856 = 24371325261
BaseRepresentation
bin10101011001110110…
…01011001000110000
31002122211120210000000
422230323023020300
5142013212042411
65140130430000
7554521655325
oct125473131060
932584523000
1011491127856
11496749548a
122288432300
1311118c4350
147b01d6b4c
15473c53956
hex2acecb230

11491127856 has 160 divisors (see below), whose sum is σ = 35960962240. Its totient is φ = 3535591680.

The previous prime is 11491127801. The next prime is 11491127863. The reversal of 11491127856 is 65872119411.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 442266 + ... + 467526.

It is an arithmetic number, because the mean of its divisors is an integer number (224756014).

Almost surely, 211491127856 is an apocalyptic number.

11491127856 is a gapful number since it is divisible by the number (16) 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 11491127856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17980481120).

11491127856 is an abundant number, since it is smaller than the sum of its proper divisors (24469834384).

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

11491127856 is an equidigital number, since it uses as much as digits as its factorization.

11491127856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25303 (or 25279 counting only the distinct ones).

The product of its digits is 120960, while the sum is 45.

The spelling of 11491127856 in words is "eleven billion, four hundred ninety-one million, one hundred twenty-seven thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 36 39 48 52 54 72 78 81 104 108 117 144 156 162 208 216 234 243 312 324 351 432 468 486 624 648 702 729 936 972 1053 1296 1404 1458 1872 1944 2106 2187 2808 2916 3159 3888 4212 4374 5616 5832 6318 8424 8748 9477 11664 12636 16848 17496 18954 25261 25272 28431 34992 37908 50522 50544 56862 75783 75816 101044 113724 151566 151632 202088 227349 227448 303132 328393 404176 454698 454896 606264 656786 682047 909396 985179 1212528 1313572 1364094 1818792 1970358 2046141 2627144 2728188 2955537 3637584 3940716 4092282 5254288 5456376 5911074 6138423 7881432 8184564 8866611 10912752 11822148 12276846 15762864 16369128 17733222 18415269 23644296 24553692 26599833 32738256 35466444 36830538 47288592 49107384 53199666 55245807 70932888 73661076 79799499 98214768 106399332 110491614 141865776 147322152 159598998 212798664 220983228 239398497 294644304 319197996 425597328 441966456 478796994 638395992 718195491 883932912 957593988 1276791984 1436390982 1915187976 2872781964 3830375952 5745563928 11491127856