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235223641732464 = 243673111759732
BaseRepresentation
bin110101011110111101000101…
…100110111011010101110000
31010211212011100000211002000000
4311132331011212323111300
5221312401004240414324
62152140125455430000
7100355230060104000
oct6536750546732560
91124764300732000
10235223641732464
1168a49871543630
122246bb01825300
13a133656abb558
144212c56654000
151c2da903319c9
hexd5ef459bb570

235223641732464 has 3360 divisors, whose sum is σ = 949034097216000. Its totient is φ = 55754114088960.

The previous prime is 235223641732423. The next prime is 235223641732477. The reversal of 235223641732464 is 464237146322532.

235223641732464 is a `hidden beast` number, since 2 + 3 + 5 + 2 + 2 + 3 + 6 + 4 + 173 + 2 + 464 = 666.

It is a super-2 number, since 2×2352236417324642 (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

Its product of digits (34836480) is a multiple of the sum of its prime factors (280).

It is a self number, because there is not a number n which added to its sum of digits gives 235223641732464.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 671 ways as a sum of consecutive naturals, for example, 3222241667532 + ... + 3222241667604.

Almost surely, 2235223641732464 is an apocalyptic number.

235223641732464 is a gapful number since it is divisible by the number (24) 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 235223641732464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (474517048608000).

235223641732464 is an abundant number, since it is smaller than the sum of its proper divisors (713810455483536).

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

235223641732464 is an equidigital number, since it uses as much as digits as its factorization.

235223641732464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 280 (or 172 counting only the distinct ones).

The product of its digits is 34836480, while the sum is 54.

The spelling of 235223641732464 in words is "two hundred thirty-five trillion, two hundred twenty-three billion, six hundred forty-one million, seven hundred thirty-two thousand, four hundred sixty-four".