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16130601960 = 2335113234391
BaseRepresentation
bin11110000010111010…
…10111001111101000
31112122011120111000020
433001131113033220
5231013413230320
611224342440440
71110505566024
oct170135271750
945564514006
1016130601960
116928339000
123162133120
1316a0b529b5
14ad044b384
156461e2940
hex3c17573e8

16130601960 has 256 divisors, whose sum is σ = 55554232320. Its totient is φ = 3739577600.

The previous prime is 16130601953. The next prime is 16130601961. The reversal of 16130601960 is 6910603161.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (16130601961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3671365 + ... + 3675755.

It is an arithmetic number, because the mean of its divisors is an integer number (217008720).

Almost surely, 216130601960 is an apocalyptic number.

16130601960 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 16130601960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27777116160).

16130601960 is an abundant number, since it is smaller than the sum of its proper divisors (39423630360).

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

16130601960 is a wasteful number, since it uses less digits than its factorization.

16130601960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4461 (or 4435 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 33.

The spelling of 16130601960 in words is "sixteen billion, one hundred thirty million, six hundred one thousand, nine hundred sixty".