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16716740040 = 23335721113472
BaseRepresentation
bin11111001000110010…
…10011010111001000
31121011000111101022000
433210121103113020
5233213441140130
611402441431000
71131153642300
oct174431232710
947130441260
1016716740040
1170a9189240
1232a649b460
131765406c70
14b48226600
1567c8c3260
hex3e46535c8

16716740040 has 1152 divisors, whose sum is σ = 77806915200. Its totient is φ = 3138186240.

The previous prime is 16716740023. The next prime is 16716740057. The reversal of 16716740040 is 4004761761.

16716740040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (16716740023) and next prime (16716740057).

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 = 16716739977 and 16716740004.

It is a congruent number.

It is an unprimeable number.

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 287 ways as a sum of consecutive naturals, for example, 355675297 + ... + 355675343.

It is an arithmetic number, because the mean of its divisors is an integer number (67540725).

Almost surely, 216716740040 is an apocalyptic number.

16716740040 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 16716740040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38903457600).

16716740040 is an abundant number, since it is smaller than the sum of its proper divisors (61090175160).

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

16716740040 is a wasteful number, since it uses less digits than its factorization.

16716740040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The spelling of 16716740040 in words is "sixteen billion, seven hundred sixteen million, seven hundred forty thousand, forty".