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153850670064 = 2432713234710861
BaseRepresentation
bin1000111101001000110…
…1101110101111110000
3112201010010011211011100
42033102031232233300
510010041232420224
6154402241444400
714054364055410
oct2172215565760
9481103154140
10153850670064
115a27a768603
1225998340700
131167b277c60
147636d52640
154006ba8ac9
hex23d236ebf0

153850670064 has 480 divisors, whose sum is σ = 564787851264. Its totient is φ = 37982545920.

The previous prime is 153850670063. The next prime is 153850670069. The reversal of 153850670064 is 460076058351.

153850670064 is a `hidden beast` number, since 1 + 538 + 50 + 6 + 7 + 0 + 0 + 64 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (153850670063) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 14159994 + ... + 14170854.

Almost surely, 2153850670064 is an apocalyptic number.

153850670064 is a gapful number since it is divisible by the number (14) 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 153850670064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (282393925632).

153850670064 is an abundant number, since it is smaller than the sum of its proper divisors (410937181200).

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

153850670064 is a wasteful number, since it uses less digits than its factorization.

153850670064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10965 (or 10956 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The spelling of 153850670064 in words is "one hundred fifty-three billion, eight hundred fifty million, six hundred seventy thousand, sixty-four".