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2116466103132 = 22328310140117489
BaseRepresentation
bin11110110011000111001…
…101011101001101011100
321111022222011100220022100
4132303013031131031130
5234134010310300012
64300142513445100
7305624001022113
oct36630715351534
97438864326270
102116466103132
11746651a36987
122a2228270790
131247745744b4
147461a732c7a
153a0c2acc8dc
hex1ecc735d35c

2116466103132 has 144 divisors (see below), whose sum is σ = 5481970734240. Its totient is φ = 688327680000.

The previous prime is 2116466103121. The next prime is 2116466103137. The reversal of 2116466103132 is 2313016646112.

2116466103132 is a `hidden beast` number, since 2 + 1 + 1 + 6 + 4 + 6 + 610 + 3 + 1 + 32 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2116466103137) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 121008244 + ... + 121025732.

It is an arithmetic number, because the mean of its divisors is an integer number (38069241210).

Almost surely, 22116466103132 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 2116466103132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2740985367120).

2116466103132 is an abundant number, since it is smaller than the sum of its proper divisors (3365504631108).

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

2116466103132 is a wasteful number, since it uses less digits than its factorization.

2116466103132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18084 (or 18079 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The spelling of 2116466103132 in words is "two trillion, one hundred sixteen billion, four hundred sixty-six million, one hundred three thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 83 101 166 202 249 303 332 401 404 498 606 747 802 909 996 1203 1212 1494 1604 1818 2406 2988 3609 3636 4812 7218 8383 14436 16766 17489 25149 33283 33532 34978 40501 50298 52467 66566 69956 75447 81002 99849 100596 104934 121503 133132 150894 157401 162004 199698 209868 243006 299547 301788 314802 364509 399396 486012 599094 629604 729018 1198188 1451587 1458036 1766389 2903174 3361583 3532778 4354761 5299167 5806348 6723166 7013089 7065556 8709522 10084749 10598334 13064283 13446332 14026178 15897501 17419044 20169498 21039267 21196668 26128566 28052356 30254247 31795002 40338996 42078534 52257132 60508494 63117801 63590004 84157068 121016988 126235602 146610287 252471204 293220574 439830861 582086387 586441148 708321989 879661722 1164172774 1319492583 1416643978 1746259161 1759323444 2124965967 2328345548 2638985166 2833287956 3492518322 4249931934 5238777483 5277970332 6374897901 6985036644 8499863868 10477554966 12749795802 20955109932 25499591604 58790725087 117581450174 176372175261 235162900348 352744350522 529116525783 705488701044 1058233051566 2116466103132