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69288979984 = 2474172792
BaseRepresentation
bin100000010000111110…
…0011110111000010000
320121211212102212202221
41000201330132320100
52113400434324414
651455251150424
75002021420000
oct1004174367020
9217755385687
1069288979984
1127426906224
12115188a5414
1366c304a353
1434d4410000
151c07eb3224
hex1021f1ee10

69288979984 has 225 divisors, whose sum is σ = 168499636557. Its totient is φ = 27594717696.

The previous prime is 69288979951. The next prime is 69288980011. The reversal of 69288979984 is 48997988296.

The square root of 69288979984 is 263228.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 53944707600 + 15344272384 = 232260^2 + 123872^2 .

It is a Harshad number since it is a multiple of its sum of digits (79).

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 877075657 + ... + 877075735.

Almost surely, 269288979984 is an apocalyptic number.

69288979984 is the 263228-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 69288979984

69288979984 is an abundant number, since it is smaller than the sum of its proper divisors (99210656573).

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

69288979984 is an frugal number, since it uses more digits than its factorization.

69288979984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228 (or 105 counting only the distinct ones).

The product of its digits is 1128701952, while the sum is 79.

The spelling of 69288979984 in words is "sixty-nine billion, two hundred eighty-eight million, nine hundred seventy-nine thousand, nine hundred eighty-four".