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116244797760 = 26345713217223
BaseRepresentation
bin110110001000010111…
…0101101100101000000
3102010001022002120110000
41230100232231211000
53401032132012020
6125222505240000
711253440322630
oct1542056554500
9363038076400
10116244797760
11453321810a3
121a642193000
13ac67206500
1458aa7166c0
153055488090
hex1b10bad940

116244797760 has 1680 divisors, whose sum is σ = 544254391296. Its totient is φ = 22980132864.

The previous prime is 116244797759. The next prime is 116244797761. The reversal of 116244797760 is 67797442611.

It is a happy number.

116244797760 is a `hidden beast` number, since 1 + 1 + 624 + 4 + 7 + 9 + 7 + 7 + 6 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (116244797759) and next prime (116244797761).

It is a tau number, because it is divible by the number of its divisors (1680).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 116244797697 and 116244797706.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (116244797761) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 521277009 + ... + 521277231.

Almost surely, 2116244797760 is an apocalyptic number.

116244797760 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 116244797760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272127195648).

116244797760 is an abundant number, since it is smaller than the sum of its proper divisors (428009593536).

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

116244797760 is a wasteful number, since it uses less digits than its factorization.

116244797760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 302 (or 270 counting only the distinct ones).

The product of its (nonzero) digits is 3556224, while the sum is 54.

The spelling of 116244797760 in words is "one hundred sixteen billion, two hundred forty-four million, seven hundred ninety-seven thousand, seven hundred sixty".