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161736503040 = 28325721811583
BaseRepresentation
bin1001011010100000111…
…1110010111100000000
3120110110200202122100100
42112220033302330000
510122214021044130
6202144542322400
714453660410200
oct2265017627400
9513420678310
10161736503040
1162657048642
1227419289400
1312336c57108
147b843bc400
154319151c60
hex25a83f2f00

161736503040 has 648 divisors, whose sum is σ = 654963236928. Its totient is φ = 36740874240.

The previous prime is 161736503039. The next prime is 161736503041. The reversal of 161736503040 is 40305637161.

161736503040 is a `hidden beast` number, since 1 + 617 + 3 + 6 + 5 + 0 + 30 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (161736503039) and next prime (161736503041).

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 = 161736502986 and 161736503004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (161736503041) 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 71 ways as a sum of consecutive naturals, for example, 102170089 + ... + 102171671.

It is an arithmetic number, because the mean of its divisors is an integer number (1010745736).

Almost surely, 2161736503040 is an apocalyptic number.

161736503040 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 161736503040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (327481618464).

161736503040 is an abundant number, since it is smaller than the sum of its proper divisors (493226733888).

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

161736503040 is a wasteful number, since it uses less digits than its factorization.

161736503040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1805 (or 1781 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The spelling of 161736503040 in words is "one hundred sixty-one billion, seven hundred thirty-six million, five hundred three thousand, forty".