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107224541443656 = 23337135455054001
BaseRepresentation
bin11000011000010100101000…
…101101000011011001001000
3112001122120021122121200221000
4120120110220231003121020
5103023231330102144111
61020014135130415000
731404501044164050
oct3030245055033110
9461576248550830
10107224541443656
113118a74434155a
1210038a01b91460
1347aa3002c2820
141c699a4628560
15c5e252c36c56
hex618528b43648

107224541443656 has 128 divisors (see below), whose sum is σ = 366579628934400. Its totient is φ = 28278999936000.

The previous prime is 107224541443633. The next prime is 107224541443727. The reversal of 107224541443656 is 656344145422701.

107224541443656 is a `hidden beast` number, since 1 + 0 + 7 + 2 + 2 + 4 + 541 + 4 + 43 + 6 + 56 = 666.

It is a super-2 number, since 2×1072245414436562 (a number of 29 digits) contains 22 as substring.

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 31 ways as a sum of consecutive naturals, for example, 2727507345 + ... + 2727546656.

It is an arithmetic number, because the mean of its divisors is an integer number (2863903351050).

Almost surely, 2107224541443656 is an apocalyptic number.

It is an amenable number.

107224541443656 is an abundant number, since it is smaller than the sum of its proper divisors (259355087490744).

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

107224541443656 is a wasteful number, since it uses less digits than its factorization.

107224541443656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5455054036 (or 5455054026 counting only the distinct ones).

The product of its (nonzero) digits is 19353600, while the sum is 54.

The spelling of 107224541443656 in words is "one hundred seven trillion, two hundred twenty-four billion, five hundred forty-one million, four hundred forty-three thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 9 12 13 14 18 21 24 26 27 28 36 39 42 52 54 56 63 72 78 84 91 104 108 117 126 156 168 182 189 216 234 252 273 312 351 364 378 468 504 546 702 728 756 819 936 1092 1404 1512 1638 2184 2457 2808 3276 4914 6552 9828 19656 5455054001 10910108002 16365162003 21820216004 32730324006 38185378007 43640432008 49095486009 65460648012 70915702013 76370756014 98190972018 114556134021 130921296024 141831404026 147286458027 152741512028 196381944036 212747106039 229112268042 283662808052 294572916054 305483024056 343668402063 392763888072 425494212078 458224536084 496409914091 567325616104 589145832108 638241318117 687336804126 850988424156 916449072168 992819828182 1031005206189 1178291664216 1276482636234 1374673608252 1489229742273 1701976848312 1914723954351 1985639656364 2062010412378 2552965272468 2749347216504 2978459484546 3829447908702 3971279312728 4124020824756 4467689226819 5105930544936 5956918969092 7658895817404 8248041649512 8935378453638 11913837938184 13403067680457 15317791634808 17870756907276 26806135360914 35741513814552 53612270721828 107224541443656