Search a number
-
+
207376663680 = 27325477110789
BaseRepresentation
bin1100000100100010011…
…1001100010010000000
3201211021102210000201100
43001020213030102000
511344201411214210
6235133441334400
720660662362054
oct3011047142200
9654242700640
10207376663680
117aa477a186a
1234236037400
131672b685824
14a073a89c64
1555dad925c0
hex30489cc480

207376663680 has 384 divisors, whose sum is σ = 741702873600. Its totient is φ = 53356584960.

The previous prime is 207376663621. The next prime is 207376663699. The reversal of 207376663680 is 86366673702.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×2073766636802 (a number of 23 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 19215726 + ... + 19226514.

It is an arithmetic number, because the mean of its divisors is an integer number (1931517900).

Almost surely, 2207376663680 is an apocalyptic number.

207376663680 is a gapful number since it is divisible by the number (20) 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 207376663680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (370851436800).

207376663680 is an abundant number, since it is smaller than the sum of its proper divisors (534326209920).

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

207376663680 is a wasteful number, since it uses less digits than its factorization.

207376663680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10932 (or 10917 counting only the distinct ones).

The product of its (nonzero) digits is 9144576, while the sum is 54.

The spelling of 207376663680 in words is "two hundred seven billion, three hundred seventy-six million, six hundred sixty-three thousand, six hundred eighty".