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1012160641632 = 25375477275003
BaseRepresentation
bin11101011101010010111…
…10011011101001100000
310120202120012211000201120
432232221132123221200
5113040401111013012
62052551415132240
7133061166333510
oct16565136335140
93522505730646
101012160641632
11360289327a48
121441b6674080
13745a57b6b8a
1436dbb51d840
151b4de16958c
hexeba979ba60

1012160641632 has 96 divisors (see below), whose sum is σ = 3037047374592. Its totient is φ = 289134902784.

The previous prime is 1012160641627. The next prime is 1012160641633. The reversal of 1012160641632 is 2361460612101.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 1012160641593 and 1012160641602.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1012160641633) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3543043 + ... + 3818045.

It is an arithmetic number, because the mean of its divisors is an integer number (31635910152).

Almost surely, 21012160641632 is an apocalyptic number.

1012160641632 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1012160641632 is an abundant number, since it is smaller than the sum of its proper divisors (2024886732960).

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

1012160641632 is a wasteful number, since it uses less digits than its factorization.

1012160641632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 280500 (or 280492 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 33.

The spelling of 1012160641632 in words is "one trillion, twelve billion, one hundred sixty million, six hundred forty-one thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 672 5477 10954 16431 21908 32862 38339 43816 65724 76678 87632 115017 131448 153356 175264 230034 262896 275003 306712 460068 525792 550006 613424 825009 920136 1100012 1226848 1650018 1840272 1925021 2200024 3300036 3680544 3850042 4400048 5775063 6600072 7700084 8800096 11550126 13200144 15400168 23100252 26400288 30800336 46200504 61600672 92401008 184802016 1506191431 3012382862 4518574293 6024765724 9037148586 10543340017 12049531448 18074297172 21086680034 24099062896 31630020051 36148594344 42173360068 48198125792 63260040102 72297188688 84346720136 126520080204 144594377376 168693440272 253040160408 337386880544 506080320816 1012160641632