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61069411440 = 243251741731667
BaseRepresentation
bin111000111000000001…
…010100010001110000
312211122000212112110100
4320320001110101300
52000032232131230
644015505232400
74261233301212
oct707001242160
9184560775410
1061069411440
11239990aa774
12ba04032700
1359b318b01b
142d5490c5b2
1518c6595660
hexe38054470

61069411440 has 480 divisors, whose sum is σ = 225634683456. Its totient is φ = 14739701760.

The previous prime is 61069411427. The next prime is 61069411477. The reversal of 61069411440 is 4411496016.

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 = 61069411395 and 61069411404.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 36633487 + ... + 36635153.

Almost surely, 261069411440 is an apocalyptic number.

61069411440 is a gapful number since it is divisible by the number (60) 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 61069411440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112817341728).

61069411440 is an abundant number, since it is smaller than the sum of its proper divisors (164565272016).

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

61069411440 is a wasteful number, since it uses less digits than its factorization.

61069411440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1817 (or 1808 counting only the distinct ones).

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

The spelling of 61069411440 in words is "sixty-one billion, sixty-nine million, four hundred eleven thousand, four hundred forty".