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1061922461040 = 24365721721859
BaseRepresentation
bin11110111001111111000…
…00101101010101110000
310202112000012110101000000
433130333200231111300
5114344304122223130
62131501311430000
7136502266662300
oct17347740552560
93675005411000
101061922461040
1137a3a45aa431
12151983825300
13791a60c1c2c
143957c36d600
151c952b62260
hexf73f82d570

1061922461040 has 840 divisors, whose sum is σ = 4559640731280. Its totient is φ = 228436733952.

The previous prime is 1061922461003. The next prime is 1061922461059. The reversal of 1061922461040 is 401642291601.

1061922461040 is a `hidden beast` number, since 1 + 0 + 6 + 19 + 2 + 24 + 610 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (840).

It is a super-2 number, since 2×10619224610402 (a number of 25 digits) contains 22 as substring.

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 = 1061922460986 and 1061922461004.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 48569631 + ... + 48591489.

Almost surely, 21061922461040 is an apocalyptic number.

1061922461040 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 1061922461040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2279820365640).

1061922461040 is an abundant number, since it is smaller than the sum of its proper divisors (3497718270240).

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

1061922461040 is a wasteful number, since it uses less digits than its factorization.

1061922461040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21921 (or 21893 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The spelling of 1061922461040 in words is "one trillion, sixty-one billion, nine hundred twenty-two million, four hundred sixty-one thousand, forty".