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112766230127424 = 2633474024142061
BaseRepresentation
bin11001101000111101101111…
…000101101110001101000000
3112210021100100110120002201110
4121220331233011232031000
5104240030214403034144
61035500031351403320
732516043206610636
oct3150755705561500
9483240313502643
10112766230127424
1132a26987108675
1210792a26383540
134abca6b3a0973
141dbbcb3b7d356
15d08495e3e0b9
hex668f6f16e340

112766230127424 has 112 divisors (see below), whose sum is σ = 299235029363136. Its totient is φ = 37478595993600.

The previous prime is 112766230127399. The next prime is 112766230127449. The reversal of 112766230127424 is 424721032667211.

It is a happy number.

112766230127424 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (112766230127399) and next prime (112766230127449).

It is a super-2 number, since 2×1127662301274242 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 2680995354 + ... + 2681037414.

Almost surely, 2112766230127424 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 112766230127424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149617514681568).

112766230127424 is an abundant number, since it is smaller than the sum of its proper divisors (186468799235712).

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

112766230127424 is a wasteful number, since it uses less digits than its factorization.

112766230127424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82664 (or 82654 counting only the distinct ones).

The product of its (nonzero) digits is 1354752, while the sum is 48.

The spelling of 112766230127424 in words is "one hundred twelve trillion, seven hundred sixty-six billion, two hundred thirty million, one hundred twenty-seven thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 347 694 1041 1388 2082 2776 4164 5552 8328 11104 16656 22208 33312 40241 42061 66624 80482 84122 120723 126183 160964 168244 241446 252366 321928 336488 482892 504732 643856 672976 965784 1009464 1287712 1345952 1931568 2018928 2575424 2691904 3863136 4037856 7726272 8075712 13963627 14595167 27927254 29190334 41890881 43785501 55854508 58380668 83781762 87571002 111709016 116761336 167563524 175142004 223418032 233522672 335127048 350284008 446836064 467045344 670254096 700568016 893672128 934090688 1340508192 1401136032 1692576701 2681016384 2802272064 3385153402 5077730103 6770306804 10155460206 13540613608 20310920412 27081227216 40621840824 54162454432 81243681648 108324908864 162487363296 324974726592 587324115247 1174648230494 1761972345741 2349296460988 3523944691482 4698592921976 7047889382964 9397185843952 14095778765928 18794371687904 28191557531856 37588743375808 56383115063712 112766230127424