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69281811144 = 2332713127139599
BaseRepresentation
bin100000010000110000…
…1001000101011001000
320121211100221122222100
41000201201020223020
52113342120424034
651454433353400
75001603451410
oct1004141105310
9217740848870
1069281811144
112742285a167
1211516408860
1366c170a330
1434d34a5640
151c07549099
hex1021848ac8

69281811144 has 384 divisors, whose sum is σ = 234823680000. Its totient is φ = 17967785472.

The previous prime is 69281811119. The next prime is 69281811163. The reversal of 69281811144 is 44111818296.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 69281811144.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 115662157 + ... + 115662755.

It is an arithmetic number, because the mean of its divisors is an integer number (611520000).

Almost surely, 269281811144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 69281811144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117411840000).

69281811144 is an abundant number, since it is smaller than the sum of its proper divisors (165541868856).

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

69281811144 is a wasteful number, since it uses less digits than its factorization.

69281811144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 897 (or 890 counting only the distinct ones).

The product of its digits is 110592, while the sum is 45.

The spelling of 69281811144 in words is "sixty-nine billion, two hundred eighty-one million, eight hundred eleven thousand, one hundred forty-four".