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153408297856 = 2711108954757
BaseRepresentation
bin1000111011011111011…
…0001101101110000000
3112122222021202222120111
42032313312031232000
510003140011012411
6154250320121104
714040413005462
oct2166766155600
9478867688514
10153408297856
115a072a91840
1225894166194
131160a71c158
1475d42bc132
153ecce25721
hex23b7d8db80

153408297856 has 32 divisors (see below), whose sum is σ = 333401559480. Its totient is φ = 69731043840.

The previous prime is 153408297851. The next prime is 153408297947. The reversal of 153408297856 is 658792804351.

It is a tau number, because it is divible by the number of its divisors (32).

It is a self number, because there is not a number n which added to its sum of digits gives 153408297856.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (153408297851) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 54475971 + ... + 54478786.

It is a 1-persistent number, because it is pandigital, but 2⋅153408297856 = 306816595712 is not.

Almost surely, 2153408297856 is an apocalyptic number.

153408297856 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

153408297856 is an abundant number, since it is smaller than the sum of its proper divisors (179993261624).

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

153408297856 is a wasteful number, since it uses less digits than its factorization.

153408297856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108954782 (or 108954770 counting only the distinct ones).

The product of its (nonzero) digits is 14515200, while the sum is 58.

The spelling of 153408297856 in words is "one hundred fifty-three billion, four hundred eight million, two hundred ninety-seven thousand, eight hundred fifty-six".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 128 176 352 704 1408 108954757 217909514 435819028 871638056 1198502327 1743276112 2397004654 3486552224 4794009308 6973104448 9588018616 13946208896 19176037232 38352074464 76704148928 153408297856