Search a number
-
+
69669072000 = 27375311181
BaseRepresentation
bin100000011100010011…
…0011010110010000000
320122211100122120000000
41000320212122302000
52120140240301000
652001110000000
75014315224663
oct1007046326200
9218740576000
1069669072000
1127601413a60
1211604046000
136753a0b378
14352cab16da
151c2b543000
hex103899ac80

69669072000 has 1024 divisors, whose sum is σ = 284964825600. Its totient is φ = 16796160000.

The previous prime is 69669071999. The next prime is 69669072017. The reversal of 69669072000 is 27096696.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 384911910 + ... + 384912090.

Almost surely, 269669072000 is an apocalyptic number.

69669072000 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 69669072000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142482412800).

69669072000 is an abundant number, since it is smaller than the sum of its proper divisors (215295753600).

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

69669072000 is an equidigital number, since it uses as much as digits as its factorization.

69669072000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242 (or 202 counting only the distinct ones).

The product of its (nonzero) digits is 244944, while the sum is 45.

The spelling of 69669072000 in words is "sixty-nine billion, six hundred sixty-nine million, seventy-two thousand".