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1612340951040 = 21134523223379
BaseRepresentation
bin10111011101100111000…
…000100111100000000000
312201010201210221202020000
4113131213000213200000
5202404033240413130
63232411010120000
7224326211646111
oct27354700474000
95633653852200
101612340951040
11571876484686
12220595880000
13b90738c6031
14580756dc208
152be19c52260
hex17767027800

1612340951040 has 960 divisors, whose sum is σ = 6073420953600. Its totient is φ = 408339283968.

The previous prime is 1612340951027. The next prime is 1612340951119. The reversal of 1612340951040 is 401590432161.

It is a happy number.

1612340951040 is a `hidden beast` number, since 1 + 61 + 2 + 3 + 40 + 9 + 510 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

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

It is a junction number, because it is equal to n+sod(n) for n = 1612340950986 and 1612340951004.

It is a congruent 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 79 ways as a sum of consecutive naturals, for example, 4254197571 + ... + 4254197949.

It is an arithmetic number, because the mean of its divisors is an integer number (6326480160).

Almost surely, 21612340951040 is an apocalyptic number.

1612340951040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1612340951040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3036710476800).

1612340951040 is an abundant number, since it is smaller than the sum of its proper divisors (4461080002560).

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

1612340951040 is a wasteful number, since it uses less digits than its factorization.

1612340951040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 664 (or 635 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The spelling of 1612340951040 in words is "one trillion, six hundred twelve billion, three hundred forty million, nine hundred fifty-one thousand, forty".