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111444651136 = 2771393710211
BaseRepresentation
bin110011111001010011…
…1100110110010000000
3101122122202202212011201
41213302213212302000
53311214312314021
6123110313350544
711023462622230
oct1476247466200
9348582685151
10111444651136
1143299666975
1219722708454
13a6808b0270
145572dd9cc0
152d73d5c591
hex19f29e6c80

111444651136 has 128 divisors (see below), whose sum is σ = 273572127360. Its totient is φ = 44036628480.

The previous prime is 111444651127. The next prime is 111444651137. The reversal of 111444651136 is 631156444111.

It is a tau number, because it is divible by the number of its divisors (128).

It is a hoax number, since the sum of its digits (37) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 111444651095 and 111444651104.

It is not an unprimeable number, because it can be changed into a prime (111444651137) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10909071 + ... + 10919281.

It is an arithmetic number, because the mean of its divisors is an integer number (2137282245).

Almost surely, 2111444651136 is an apocalyptic number.

111444651136 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 111444651136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136786063680).

111444651136 is an abundant number, since it is smaller than the sum of its proper divisors (162127476224).

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

111444651136 is a wasteful number, since it uses less digits than its factorization.

111444651136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11182 (or 11170 counting only the distinct ones).

The product of its digits is 34560, while the sum is 37.

The spelling of 111444651136 in words is "one hundred eleven billion, four hundred forty-four million, six hundred fifty-one thousand, one hundred thirty-six".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 52 56 64 91 104 112 128 182 208 224 364 416 448 728 832 896 937 1456 1664 1874 2912 3748 5824 6559 7496 10211 11648 12181 13118 14992 20422 24362 26236 29984 40844 48724 52472 59968 71477 81688 85267 97448 104944 119936 132743 142954 163376 170534 194896 209888 265486 285908 326752 341068 389792 419776 530972 571816 653504 682136 779584 839552 929201 1061944 1143632 1307008 1364272 1559168 1858402 2123888 2287264 2728544 3716804 4247776 4574528 5457088 7433608 8495552 9149056 9567707 10914176 14867216 16991104 19135414 29734432 38270828 59468864 66973949 76541656 118937728 124380191 133947898 153083312 248760382 267895796 306166624 497520764 535791592 612333248 870661337 995041528 1071583184 1224666496 1741322674 1990083056 2143166368 3482645348 3980166112 4286332736 6965290696 7960332224 8572665472 13930581392 15920664448 27861162784 55722325568 111444651136