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133748027112 = 233719254316477
BaseRepresentation
bin111110010010000000…
…0001110111011101000
3110210020010111202020210
41330210000032323220
54142403443331422
6141235404221120
712443254321050
oct1744400167350
9423203452223
10133748027112
11517a43023a7
1221b07b3a7a0
13c7c654285b
14668b18c560
15372be1510c
hex1f2400eee8

133748027112 has 128 divisors (see below), whose sum is σ = 402432307200. Its totient is φ = 36186041088.

The previous prime is 133748027111. The next prime is 133748027113. The reversal of 133748027112 is 211720847331.

It is an interprime number because it is at equal distance from previous prime (133748027111) and next prime (133748027113).

It is not an unprimeable number, because it can be changed into a prime (133748027111) 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, 8109018 + ... + 8125494.

It is an arithmetic number, because the mean of its divisors is an integer number (3144002400).

Almost surely, 2133748027112 is an apocalyptic number.

133748027112 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 133748027112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201216153600).

133748027112 is an abundant number, since it is smaller than the sum of its proper divisors (268684280088).

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

133748027112 is a wasteful number, since it uses less digits than its factorization.

133748027112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19055 (or 19051 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 39.

The spelling of 133748027112 in words is "one hundred thirty-three billion, seven hundred forty-eight million, twenty-seven thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 19 21 24 28 38 42 56 57 76 84 114 133 152 168 228 266 399 456 532 798 1064 1596 2543 3192 5086 7629 10172 15258 16477 17801 20344 30516 32954 35602 48317 49431 53403 61032 65908 71204 96634 98862 106806 115339 131816 142408 144951 193268 197724 213612 230678 289902 313063 338219 346017 386536 395448 427224 461356 579804 626126 676438 692034 922712 939189 1014657 1159608 1252252 1352876 1384068 1878378 2029314 2191441 2504504 2705752 2768136 3756756 4058628 4382882 6574323 7513512 8117256 8765764 13148646 17531528 26297292 41901011 52594584 83802022 125703033 167604044 251406066 293307077 335208088 502812132 586614154 796119209 879921231 1005624264 1173228308 1592238418 1759842462 2346456616 2388357627 3184476836 3519684924 4776715254 5572834463 6368953672 7039369848 9553430508 11145668926 16718503389 19106861016 22291337852 33437006778 44582675704 66874013556 133748027112