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2116044406112 = 25713816189041
BaseRepresentation
bin11110110010101110000…
…100110011110101100000
321111021212202212110202012
4132302232010303311200
5234132124331443422
64300033011212052
7305610360452540
oct36625604636540
97437782773665
102116044406112
117464559a174a
122a212aba7028
131247080a7230
14745ba721320
153a09aa804e2
hex1ecae133d60

2116044406112 has 96 divisors (see below), whose sum is σ = 5128024233024. Its totient is φ = 837004492800.

The previous prime is 2116044406087. The next prime is 2116044406153.

2116044406112 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (32).

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, 23720312 + ... + 23809352.

It is an arithmetic number, because the mean of its divisors is an integer number (53416919094).

Almost surely, 22116044406112 is an apocalyptic number.

It is an amenable number.

2116044406112 is an abundant number, since it is smaller than the sum of its proper divisors (3011979826912).

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

2116044406112 is a wasteful number, since it uses less digits than its factorization.

2116044406112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97232 (or 97224 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 32.

The spelling of 2116044406112 in words is "two trillion, one hundred sixteen billion, forty-four million, four hundred six thousand, one hundred twelve".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 52 56 91 104 112 182 208 224 364 416 728 1456 2912 8161 16322 32644 57127 65288 89041 106093 114254 130576 178082 212186 228508 261152 356164 424372 457016 623287 712328 742651 848744 914032 1157533 1246574 1424656 1485302 1697488 1828064 2315066 2493148 2849312 2970604 3394976 4630132 4986296 5941208 8102731 9260264 9972592 11882416 16205462 18520528 19945184 23764832 32410924 37041056 64821848 129643696 259287392 726663601 1453327202 2906654404 5086645207 5813308808 9446626813 10173290414 11626617616 18893253626 20346580828 23253235232 37786507252 40693161656 66126387691 75573014504 81386323312 132252775382 151146029008 162772646624 264505550764 302292058016 529011101528 1058022203056 2116044406112