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61374780096 = 2637193124161
BaseRepresentation
bin111001001010001110…
…001101001011000000
312212102022110212111120
4321022032031023000
52001143420430341
644110054312240
74301632010640
oct711216151300
9185368425446
1061374780096
1124035510763
12ba8a358680
135a31518636
142d832bc520
1518e32b5066
hexe4a38d2c0

61374780096 has 672 divisors, whose sum is σ = 210171548160. Its totient is φ = 15427584000.

The previous prime is 61374780073. The next prime is 61374780109. The reversal of 61374780096 is 69008747316.

It is a tau number, because it is divible by the number of its divisors (672).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1006143906 + ... + 1006143966.

It is an arithmetic number, because the mean of its divisors is an integer number (312755280).

Almost surely, 261374780096 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61374780096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105085774080).

61374780096 is an abundant number, since it is smaller than the sum of its proper divisors (148796768064).

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

61374780096 is a wasteful number, since it uses less digits than its factorization.

61374780096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205 (or 164 counting only the distinct ones).

The product of its (nonzero) digits is 1524096, while the sum is 51.

The spelling of 61374780096 in words is "sixty-one billion, three hundred seventy-four million, seven hundred eighty thousand, ninety-six".