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112115766140676 = 22347126921181039
BaseRepresentation
bin11001011111011111111100…
…011010100001111100000100
3112200222011101111210220110000
4121133133330122201330010
5104143401042113000201
61034241134423001300
732421045126135054
oct3137377432417404
9480864344726400
10112115766140676
11327a6036152a01
12106a8953299230
134a7361881a68c
141d98609709564
15ce65c5b28d86
hex65f7fc6a1f04

112115766140676 has 120 divisors (see below), whose sum is σ = 297233508337920. Its totient is φ = 36843984777600.

The previous prime is 112115766140659. The next prime is 112115766140681. The reversal of 112115766140676 is 676041667511211.

112115766140676 is a `hidden beast` number, since 1 + 1 + 2 + 1 + 1 + 576 + 6 + 1 + 4 + 0 + 67 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 619200165 + ... + 619381203.

It is an arithmetic number, because the mean of its divisors is an integer number (2476945902816).

Almost surely, 2112115766140676 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 112115766140676, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148616754168960).

112115766140676 is an abundant number, since it is smaller than the sum of its proper divisors (185117742197244).

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

112115766140676 is a wasteful number, since it uses less digits than its factorization.

112115766140676 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208047 (or 208036 counting only the distinct ones).

The product of its (nonzero) digits is 2540160, while the sum is 54.

The spelling of 112115766140676 in words is "one hundred twelve trillion, one hundred fifteen billion, seven hundred sixty-six million, one hundred forty thousand, six hundred seventy-six".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 71 81 108 142 162 213 284 324 426 639 852 1278 1917 2556 3834 5751 7668 11502 23004 26921 53842 80763 107684 161526 181039 242289 323052 362078 484578 543117 724156 726867 969156 1086234 1453734 1629351 1911391 2172468 2180601 2907468 3258702 3822782 4361202 4888053 5734173 6517404 7645564 8722404 9776106 11468346 12853769 14664159 17202519 19552212 22936692 25707538 29328318 34405038 38561307 51415076 51607557 58656636 68810076 77122614 103215114 115683921 154245228 154822671 206430228 231367842 309645342 347051763 462735684 619290684 694103526 1041155289 1388207052 2082310578 4164621156 4873750919 9747501838 14621252757 19495003676 29242505514 43863758271 58485011028 87727516542 131591274813 175455033084 263182549626 346036315249 394773824439 526365099252 692072630498 789547648878 1038108945747 1384145260996 1579095297756 2076217891494 3114326837241 4152435782988 6228653674482 9342980511723 12457307348964 18685961023446 28028941535169 37371922046892 56057883070338 112115766140676