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23417381463168 = 273711297742253
BaseRepresentation
bin1010101001100010010001…
…01101000010010010000000
310001220200100120120222002210
411110301020231002102000
511032132244123310133
6121445444014542120
74634564354126520
oct524611055022200
9101820316528083
1023417381463168
11750928a389700
122762541807940
13100b332496504
145ad59b933680
152a9216deb763
hex154c48b42480

23417381463168 has 384 divisors, whose sum is σ = 78944235269760. Its totient is φ = 6019723100160.

The previous prime is 23417381463149. The next prime is 23417381463173. The reversal of 23417381463168 is 86136418371432.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 31177930 + ... + 31920182.

It is an arithmetic number, because the mean of its divisors is an integer number (205583946015).

Almost surely, 223417381463168 is an apocalyptic number.

23417381463168 is a gapful number since it is divisible by the number (28) 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 23417381463168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39472117634880).

23417381463168 is an abundant number, since it is smaller than the sum of its proper divisors (55526853806592).

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

23417381463168 is a wasteful number, since it uses less digits than its factorization.

23417381463168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 742396 (or 742373 counting only the distinct ones).

The product of its digits is 13934592, while the sum is 57.

The spelling of 23417381463168 in words is "twenty-three trillion, four hundred seventeen billion, three hundred eighty-one million, four hundred sixty-three thousand, one hundred sixty-eight".