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69929377056 = 2533721131773
BaseRepresentation
bin100000100100000011…
…1011001110100100000
320200111111110102102000
41001020013121310200
52121203410031211
652043005124000
75023625616600
oct1011007316440
9220444412360
1069929377056
1127725346000
1211677259600
13679591b426
1435554b0c00
151c44310656
hex10481d9d20

69929377056 has 1152 divisors, whose sum is σ = 280104894720. Its totient is φ = 16860856320.

The previous prime is 69929377003. The next prime is 69929377081. The reversal of 69929377056 is 65077392996.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 69929376984 and 69929377002.

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 191 ways as a sum of consecutive naturals, for example, 957936636 + ... + 957936708.

It is an arithmetic number, because the mean of its divisors is an integer number (243146610).

Almost surely, 269929377056 is an apocalyptic number.

69929377056 is a gapful number since it is divisible by the number (66) 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 69929377056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140052447360).

69929377056 is an abundant number, since it is smaller than the sum of its proper divisors (210175517664).

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

69929377056 is a wasteful number, since it uses less digits than its factorization.

69929377056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 38578680, while the sum is 63.

It can be divided in two parts, 69929 and 377056, that added together give a triangular number (446985 = T945).

The spelling of 69929377056 in words is "sixty-nine billion, nine hundred twenty-nine million, three hundred seventy-seven thousand, fifty-six".