Search a number
-
+
69390048000 = 28353713347
BaseRepresentation
bin100000010011111111…
…0000001101100000000
320122002220121200000210
41000213332001230000
52114102323014000
651513301314120
75004356450640
oct1004776015400
9218086550023
1069390048000
1127478967109
1211546705940
13670ac76000
1435039dc520
151c11cc9350
hex1027f81b00

69390048000 has 1152 divisors, whose sum is σ = 291416186880. Its totient is φ = 14329036800.

The previous prime is 69390047989. The next prime is 69390048041. The reversal of 69390048000 is 84009396.

It is a super-2 number, since 2×693900480002 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 69390048000.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1476383977 + ... + 1476384023.

It is an arithmetic number, because the mean of its divisors is an integer number (252965440).

Almost surely, 269390048000 is an apocalyptic number.

69390048000 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 69390048000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145708093440).

69390048000 is an abundant number, since it is smaller than the sum of its proper divisors (222026138880).

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

69390048000 is an equidigital number, since it uses as much as digits as its factorization.

69390048000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 39.

The spelling of 69390048000 in words is "sixty-nine billion, three hundred ninety million, forty-eight thousand".