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113066471232000 = 29325311131780747
BaseRepresentation
bin11001101101010101010110…
…110110101001001000000000
3112211100001022210011111202200
4121231111112312221020000
5104304440113113411000
61040250004140313200
732546532363106146
oct3155252666511000
9484301283144680
10113066471232000
1133032248412350
1210821058542800
134b121791490b0
141dcc636d23596
15d111b9876500
hex66d556da9200

113066471232000 has 1920 divisors, whose sum is σ = 506590621625088. Its totient is φ = 23812964352000.

The previous prime is 113066471231971. The next prime is 113066471232041. The reversal of 113066471232000 is 232174660311.

113066471232000 is a `hidden beast` number, since 1 + 1 + 3 + 0 + 6 + 647 + 1 + 2 + 3 + 2 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1400215627 + ... + 1400296373.

Almost surely, 2113066471232000 is an apocalyptic number.

113066471232000 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 113066471232000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253295310812544).

113066471232000 is an abundant number, since it is smaller than the sum of its proper divisors (393524150393088).

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

113066471232000 is a wasteful number, since it uses less digits than its factorization.

113066471232000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80827 (or 80798 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The spelling of 113066471232000 in words is "one hundred thirteen trillion, sixty-six billion, four hundred seventy-one million, two hundred thirty-two thousand".