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16722980352 = 2932131072609
BaseRepresentation
bin11111001001100010…
…00110111000000000
31121011110020102101200
433210301012320000
5233222040332402
611403223301200
71131260662521
oct174461067000
947143212350
1016722980352
117101760721
1232a85aa800
1317667b0460
14b48dac848
1567d20721c
hex3e4c46e00

16722980352 has 240 divisors, whose sum is σ = 52482109680. Its totient is φ = 5095489536.

The previous prime is 16722980347. The next prime is 16722980377. The reversal of 16722980352 is 25308922761.

16722980352 is a `hidden beast` number, since 1 + 6 + 7 + 2 + 298 + 0 + 352 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 16722980298 and 16722980307.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6408424 + ... + 6411032.

It is an arithmetic number, because the mean of its divisors is an integer number (218675457).

Almost surely, 216722980352 is an apocalyptic number.

16722980352 is a gapful number since it is divisible by the number (12) 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 16722980352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26241054840).

16722980352 is an abundant number, since it is smaller than the sum of its proper divisors (35759129328).

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

16722980352 is a wasteful number, since it uses less digits than its factorization.

16722980352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2753 (or 2734 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 16722980352 in words is "sixteen billion, seven hundred twenty-two million, nine hundred eighty thousand, three hundred fifty-two".