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16719421680 = 24335134361227
BaseRepresentation
bin11111001001000111…
…00010000011110000
31121011012112121211000
433210203202003300
5233220132443210
611403015122000
71131215511423
oct174443420360
947135477730
1016719421680
1170aa74aa75
1232a7373300
131765b35730
14b487239ba
1567cc52ac0
hex3e48e20f0

16719421680 has 640 divisors, whose sum is σ = 64785853440. Its totient is φ = 3936522240.

The previous prime is 16719421661. The next prime is 16719421703. The reversal of 16719421680 is 8612491761.

16719421680 is a `hidden beast` number, since 167 + 1 + 9 + 421 + 68 + 0 = 666.

It is a super-2 number, since 2×167194216802 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 73653727 + ... + 73653953.

It is an arithmetic number, because the mean of its divisors is an integer number (101227896).

Almost surely, 216719421680 is an apocalyptic number.

16719421680 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 16719421680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32392926720).

16719421680 is an abundant number, since it is smaller than the sum of its proper divisors (48066431760).

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

16719421680 is a wasteful number, since it uses less digits than its factorization.

16719421680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 366 (or 354 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The spelling of 16719421680 in words is "sixteen billion, seven hundred nineteen million, four hundred twenty-one thousand, six hundred eighty".