Search a number
-
+
69073213440 = 2113571129201
BaseRepresentation
bin100000001010100010…
…1011001100000000000
320121021211102210201110
41000111011121200000
52112430220312230
651422022403320
74663461425010
oct1002505314000
9217254383643
1069073213440
1127326034670
1211478590540
13668a43283a
1434b38c5c40
151be40924b0
hex1015159800

69073213440 has 384 divisors, whose sum is σ = 275517365760. Its totient is φ = 14352384000.

The previous prime is 69073213387. The next prime is 69073213481. The reversal of 69073213440 is 4431237096.

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

It is a super-2 number, since 2×690732134402 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2350840 + ... + 2380040.

It is an arithmetic number, because the mean of its divisors is an integer number (717493140).

Almost surely, 269073213440 is an apocalyptic number.

69073213440 is a gapful number since it is divisible by the number (60) 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 69073213440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137758682880).

69073213440 is an abundant number, since it is smaller than the sum of its proper divisors (206444152320).

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

69073213440 is a wasteful number, since it uses less digits than its factorization.

69073213440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29249 (or 29229 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 39.

The spelling of 69073213440 in words is "sixty-nine billion, seventy-three million, two hundred thirteen thousand, four hundred forty".