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207688707072 = 21034711311049
BaseRepresentation
bin1100000101101100110…
…1100010110000000000
3201212002011221110210000
43001123031202300000
511400321302111242
6235224425440000
721001501611420
oct3013315426000
9655064843700
10207688707072
1180097951670
1234302640000
131677b20c2a2
14a0a32b6480
15560847ea4c
hex305b362c00

207688707072 has 880 divisors, whose sum is σ = 798939187200. Its totient is φ = 52155187200.

The previous prime is 207688707049. The next prime is 207688707089. The reversal of 207688707072 is 270707886702.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 197986804 + ... + 197987852.

It is an arithmetic number, because the mean of its divisors is an integer number (907885440).

Almost surely, 2207688707072 is an apocalyptic number.

207688707072 is a gapful number since it is divisible by the number (22) 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 207688707072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (399469593600).

207688707072 is an abundant number, since it is smaller than the sum of its proper divisors (591250480128).

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

207688707072 is a wasteful number, since it uses less digits than its factorization.

207688707072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1130 (or 1103 counting only the distinct ones).

The product of its (nonzero) digits is 3687936, while the sum is 54.

The spelling of 207688707072 in words is "two hundred seven billion, six hundred eighty-eight million, seven hundred seven thousand, seventy-two".