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1061421877152 = 2536713311272
BaseRepresentation
bin11110111001000011010…
…11001000011110100000
310202110201022112002000000
433130201223020132200
5114342243000032102
62131335510300000
7136454011044120
oct17344153103640
93673638462000
101061421877152
1137a167a8433a
12151864057600
1379126494150
1439531aa4c80
151c923c3101c
hexf721ac87a0

1061421877152 has 1008 divisors, whose sum is σ = 4012075694592. Its totient is φ = 268772152320.

The previous prime is 1061421877133. The next prime is 1061421877177. The reversal of 1061421877152 is 2517781241601.

1061421877152 is a `hidden beast` number, since 1 + 0 + 6 + 1 + 421 + 8 + 77 + 152 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a super-2 number, since 2×10614218771522 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1061421877098 and 1061421877107.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 8357652513 + ... + 8357652639.

It is an arithmetic number, because the mean of its divisors is an integer number (3980233824).

Almost surely, 21061421877152 is an apocalyptic number.

1061421877152 is a gapful number since it is divisible by the number (12) 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 1061421877152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2006037847296).

1061421877152 is an abundant number, since it is smaller than the sum of its proper divisors (2950653817440).

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

1061421877152 is an equidigital number, since it uses as much as digits as its factorization.

1061421877152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 333 (or 183 counting only the distinct ones).

The product of its (nonzero) digits is 188160, while the sum is 45.

The spelling of 1061421877152 in words is "one trillion, sixty-one billion, four hundred twenty-one million, eight hundred seventy-seven thousand, one hundred fifty-two".