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112544645334 = 231119478272309
BaseRepresentation
bin110100011010000101…
…1110000000011010110
3101202111102121100112120
41220310023300003112
53320442412122314
6123411410200410
711062650462342
oct1506413600326
9352442540476
10112544645334
1143803577890
121998ab83106
13a7c775b3c4
145639136622
152dda6e18a9
hex1a342f00d6

112544645334 has 128 divisors (see below), whose sum is σ = 264408883200. Its totient is φ = 31570116480.

The previous prime is 112544645293. The next prime is 112544645363. The reversal of 112544645334 is 433546445211.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 48740572 + ... + 48742880.

It is an arithmetic number, because the mean of its divisors is an integer number (2065694400).

Almost surely, 2112544645334 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112544645334, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132204441600).

112544645334 is an abundant number, since it is smaller than the sum of its proper divisors (151864237866).

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

112544645334 is a wasteful number, since it uses less digits than its factorization.

112544645334 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3218.

The product of its digits is 691200, while the sum is 42.

The spelling of 112544645334 in words is "one hundred twelve billion, five hundred forty-four million, six hundred forty-five thousand, three hundred thirty-four".

Divisors: 1 2 3 6 11 19 22 33 38 47 57 66 94 114 141 209 282 418 517 627 827 893 1034 1254 1551 1654 1786 2309 2481 2679 3102 4618 4962 5358 6927 9097 9823 13854 15713 18194 19646 25399 27291 29469 31426 38869 43871 47139 50798 54582 58938 76197 77738 87742 94278 108523 116607 131613 152394 172843 217046 233214 263226 325569 345686 427559 482581 518529 651138 738511 855118 965162 1037058 1193753 1282677 1447743 1477022 1909543 2061937 2215533 2387506 2565354 2895486 3581259 3819086 4123874 4431066 5728629 6185811 7162518 8123621 11457258 12371622 16247242 21004973 22681307 24370863 36281317 42009946 45362614 48741726 63014919 68043921 72562634 89748521 108843951 126029838 136087842 179497042 217687902 269245563 399094487 538491126 798188974 987233731 1197283461 1705221899 1974467462 2394566922 2961701193 3410443798 5115665697 5923402386 10231331394 18757440889 37514881778 56272322667 112544645334