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1612226046114 = 2331737195124329
BaseRepresentation
bin10111011101100000001…
…010010010100010100010
312201010102210201222022000
4113131200022102202202
5202403314331433424
63232351343224430
7224323315165245
oct27354012224242
95633383658260
101612226046114
11571817632932
122205632a8116
13b9055b64258
145806434b25c
152be0eb063c9
hex177602928a2

1612226046114 has 128 divisors (see below), whose sum is σ = 3898156492800. Its totient is φ = 491853772800.

The previous prime is 1612226046083. The next prime is 1612226046157. The reversal of 1612226046114 is 4116406222161.

1612226046114 is a `hidden beast` number, since 1 + 6 + 12 + 2 + 26 + 0 + 4 + 611 + 4 = 666.

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 66255502 + ... + 66279830.

It is an arithmetic number, because the mean of its divisors is an integer number (30454347600).

Almost surely, 21612226046114 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1612226046114, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1949078246400).

1612226046114 is an abundant number, since it is smaller than the sum of its proper divisors (2285930446686).

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

1612226046114 is a wasteful number, since it uses less digits than its factorization.

1612226046114 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26345 (or 26339 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 1612226046114 in words is "one trillion, six hundred twelve billion, two hundred twenty-six million, forty-six thousand, one hundred fourteen".

Divisors: 1 2 3 6 9 17 18 27 34 37 51 54 74 102 111 153 222 306 333 459 629 666 918 999 1258 1887 1951 1998 3774 3902 5661 5853 11322 11706 16983 17559 24329 33167 33966 35118 48658 52677 66334 72187 72987 99501 105354 144374 145974 199002 216561 218961 298503 413593 433122 437922 597006 649683 656883 827186 895509 900173 1227179 1240779 1299366 1313766 1791018 1800346 1949049 2454358 2481558 2700519 3681537 3722337 3898098 5401038 7363074 7444674 8101557 11044611 11167011 15302941 16203114 22089222 22334022 24304671 30605882 33133833 45908823 47465879 48609342 66267666 91817646 94931758 137726469 142397637 275452938 284795274 413179407 427192911 806919943 826358814 854385822 1281578733 1613839886 1756237523 2420759829 2563157466 3512475046 4841519658 5268712569 7262279487 10537425138 14524558974 15806137707 21786838461 29856037891 31612275414 43573676922 47418413121 59712075782 89568113673 94836826242 179136227346 268704341019 537408682038 806113023057 1612226046114