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69024090240 = 2732572716317
BaseRepresentation
bin100000001001000101…
…0000000100010000000
320121011102000002100200
41000102022000202000
52112330131341430
651413105445200
74662324041460
oct1002212004200
9217142002320
1069024090240
1127300332686
1211464040800
1366801c3561
1434ab179ba0
151bdeadc460
hex1012280880

69024090240 has 384 divisors, whose sum is σ = 273447083520. Its totient is φ = 15716229120.

The previous prime is 69024090229. The next prime is 69024090253. The reversal of 69024090240 is 4209042096.

69024090240 is a `hidden beast` number, since 6 + 9 + 0 + 2 + 409 + 0 + 240 = 666.

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

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 69024090195 and 69024090204.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10923562 + ... + 10929878.

It is an arithmetic number, because the mean of its divisors is an integer number (712101780).

Almost surely, 269024090240 is an apocalyptic number.

69024090240 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 69024090240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136723541760).

69024090240 is an abundant number, since it is smaller than the sum of its proper divisors (204422993280).

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

69024090240 is a wasteful number, since it uses less digits than its factorization.

69024090240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6620 (or 6605 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The spelling of 69024090240 in words is "sixty-nine billion, twenty-four million, ninety thousand, two hundred forty".