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16978993152 = 213311181347
BaseRepresentation
bin11111101000000011…
…01110000000000000
31121211021222012221020
433310001232000000
5234233110240102
611444450425440
71140520026522
oct176401560000
947737865836
1016978993152
117223220950
12335a292280
1317a7849914
14b70db1a12
15695927bbc
hex3f406e000

16978993152 has 224 divisors, whose sum is σ = 49806417024. Its totient is φ = 5101977600.

The previous prime is 16978993099. The next prime is 16978993169. The reversal of 16978993152 is 25139987961.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 48930643 + ... + 48930989.

It is an arithmetic number, because the mean of its divisors is an integer number (222350076).

Almost surely, 216978993152 is an apocalyptic number.

16978993152 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 16978993152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24903208512).

16978993152 is an abundant number, since it is smaller than the sum of its proper divisors (32827423872).

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

16978993152 is a wasteful number, since it uses less digits than its factorization.

16978993152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 568 (or 544 counting only the distinct ones).

The product of its digits is 7348320, while the sum is 60.

The spelling of 16978993152 in words is "sixteen billion, nine hundred seventy-eight million, nine hundred ninety-three thousand, one hundred fifty-two".