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69228956160 = 2932572135389
BaseRepresentation
bin100000001111001011…
…1100000101000000000
320121200200111100120100
41000132113200220000
52113240103044120
651445304442400
75000362263300
oct1003627405000
9217620440510
1069228956160
11273a5a39461
1211500779400
1366b37925b0
1434ca467600
151c02aa8490
hex101e5e0a00

69228956160 has 1440 divisors, whose sum is σ = 309463474320. Its totient is φ = 14169931776.

The previous prime is 69228956131. The next prime is 69228956171. The reversal of 69228956160 is 6165982296.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 14067857664 + 55161098496 = 118608^2 + 234864^2 .

It is a tau number, because it is divible by the number of its divisors (1440).

It is a junction number, because it is equal to n+sod(n) for n = 69228956097 and 69228956106.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 777853396 + ... + 777853484.

Almost surely, 269228956160 is an apocalyptic number.

69228956160 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 69228956160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154731737160).

69228956160 is an abundant number, since it is smaller than the sum of its proper divisors (240234518160).

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

69228956160 is a wasteful number, since it uses less digits than its factorization.

69228956160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 198 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 2799360, while the sum is 54.

The spelling of 69228956160 in words is "sixty-nine billion, two hundred twenty-eight million, nine hundred fifty-six thousand, one hundred sixty".