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68210541921240 = 2332510334710874877
BaseRepresentation
bin11111000001001100000010…
…00111110000001111011000
322221111212022221112200122100
433200212001013300033120
532420030142212434430
6401023253530323400
720240022546650145
oct1740460107601730
9287455287480570
1068210541921240
111a808a2373aa44
1277977b0589560
132c0a2c3821224
1412bb59d1a53cc
157d44a56e4960
hex3e09811f03d8

68210541921240 has 384 divisors, whose sum is σ = 224734183464960. Its totient is φ = 17940767818752.

The previous prime is 68210541921227. The next prime is 68210541921251. The reversal of 68210541921240 is 4212914501286.

68210541921240 is a `hidden beast` number, since 6 + 8 + 2 + 1 + 0 + 541 + 92 + 12 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 13986165682 + ... + 13986170558.

It is an arithmetic number, because the mean of its divisors is an integer number (585245269440).

Almost surely, 268210541921240 is an apocalyptic number.

68210541921240 is a gapful number since it is divisible by the number (60) 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 68210541921240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112367091732480).

68210541921240 is an abundant number, since it is smaller than the sum of its proper divisors (156523641543720).

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

68210541921240 is a wasteful number, since it uses less digits than its factorization.

68210541921240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6431 (or 6424 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The spelling of 68210541921240 in words is "sixty-eight trillion, two hundred ten billion, five hundred forty-one million, nine hundred twenty-one thousand, two hundred forty".