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23068117373184 = 28321324321792
BaseRepresentation
bin1010011111010111101101…
…11100010001000100000000
310000200021211202120212111100
411033223312330101010000
511010422001021420214
6121021202525214400
74600421311264512
oct517536674210400
9100607752525440
1023068117373184
117394151966454
122706909a01400
13cb44111cb300
1459a707b05bb2
152a00c47b0309
hex14faf6f11100

23068117373184 has 729 divisors, whose sum is σ = 74148944117157. Its totient is φ = 6894084427776.

The previous prime is 23068117373131. The next prime is 23068117373201. The reversal of 23068117373184 is 48137371186032.

The square root of 23068117373184 is 4802928.

It is a perfect power (a square), and thus also a powerful number.

23068117373184 is a `hidden beast` number, since 2 + 3 + 0 + 6 + 81 + 17 + 373 + 184 = 666.

It can be written as a sum of positive squares in only one way, i.e., 3412443398400 + 19655673974784 = 1847280^2 + 4433472^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 23068117373184.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 128872164007 + ... + 128872164185.

Almost surely, 223068117373184 is an apocalyptic number.

23068117373184 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

23068117373184 is the 4802928-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23068117373184

23068117373184 is an abundant number, since it is smaller than the sum of its proper divisors (51080826743973).

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

23068117373184 is an equidigital number, since it uses as much as digits as its factorization.

23068117373184 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 492 (or 240 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 54.

The spelling of 23068117373184 in words is "twenty-three trillion, sixty-eight billion, one hundred seventeen million, three hundred seventy-three thousand, one hundred eighty-four".