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111271965952 = 28733493631
BaseRepresentation
bin110011110100001010…
…0110111010100000000
3101122012201211112122011
41213220110313110000
53310341110402302
6123041224222304
711016265051000
oct1475024672400
9348181745564
10111271965952
114321013aa44
121969490a994
13a653b9a994
1455580c8000
152d63aeb5d7
hex19e8537500

111271965952 has 144 divisors (see below), whose sum is σ = 259833280000. Its totient is φ = 47538247680.

The previous prime is 111271965943. The next prime is 111271965991. The reversal of 111271965952 is 259569172111.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a junction number, because it is equal to n+sod(n) for n = 111271965896 and 111271965905.

It is a congruent number.

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, 30643177 + ... + 30646807.

Almost surely, 2111271965952 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 111271965952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129916640000).

111271965952 is an abundant number, since it is smaller than the sum of its proper divisors (148561314048).

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

111271965952 is an frugal number, since it uses more digits than its factorization.

111271965952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4017 (or 3989 counting only the distinct ones).

The product of its digits is 340200, while the sum is 49.

The spelling of 111271965952 in words is "one hundred eleven billion, two hundred seventy-one million, nine hundred sixty-five thousand, nine hundred fifty-two".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 128 196 224 256 343 349 392 448 686 698 784 896 1372 1396 1568 1792 2443 2744 2792 3136 3631 4886 5488 5584 6272 7262 9772 10976 11168 12544 14524 17101 19544 21952 22336 25417 29048 34202 39088 43904 44672 50834 58096 68404 78176 87808 89344 101668 116192 119707 136808 156352 177919 203336 232384 239414 273616 312704 355838 406672 464768 478828 547232 625408 711676 813344 929536 957656 1094464 1245433 1267219 1423352 1626688 1915312 2188928 2490866 2534438 2846704 3253376 3830624 4377856 4981732 5068876 5693408 6506752 7661248 8870533 9963464 10137752 11386816 15322496 17741066 19926928 20275504 22773632 30644992 35482132 39853856 40551008 45547264 62093731 70964264 79707712 81102016 124187462 141928528 159415424 162204032 248374924 283857056 318830848 324408064 434656117 496749848 567714112 869312234 993499696 1135428224 1738624468 1986999392 2270856448 3477248936 3973998784 6954497872 7947997568 13908995744 15895995136 27817991488 55635982976 111271965952