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61043092992 = 293572171931
BaseRepresentation
bin111000110110011100…
…111010111000000000
312211120012100102100000
4320312130322320000
52000004012433432
644013125200000
74260463505100
oct706634727000
9184505312300
1061043092992
1123985264292
12b9b7260000
1359aa8a498b
142d5121b200
1518c40e757c
hexe3673ae00

61043092992 has 1440 divisors, whose sum is σ = 244514350080. Its totient is φ = 15049359360.

The previous prime is 61043092987. The next prime is 61043092993. The reversal of 61043092992 is 29929034016.

It is a happy number.

61043092992 is a `hidden beast` number, since 610 + 4 + 3 + 0 + 9 + 29 + 9 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61043092993) by changing a digit.

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 143 ways as a sum of consecutive naturals, for example, 1969132017 + ... + 1969132047.

It is an arithmetic number, because the mean of its divisors is an integer number (169801632).

Almost surely, 261043092992 is an apocalyptic number.

61043092992 is a gapful number since it is divisible by the number (62) 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 61043092992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122257175040).

61043092992 is an abundant number, since it is smaller than the sum of its proper divisors (183471257088).

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

61043092992 is a wasteful number, since it uses less digits than its factorization.

61043092992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114 (or 79 counting only the distinct ones).

The product of its (nonzero) digits is 209952, while the sum is 45.

The spelling of 61043092992 in words is "sixty-one billion, forty-three million, ninety-two thousand, nine hundred ninety-two".