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68215670415360 = 21336513473739
BaseRepresentation
bin11111000001010101100101…
…10011011010000000000000
322221112100120100201012000000
433200222302303122000000
532420121143111242420
6401025502452000000
720240263622304066
oct1740526263320000
9287470510635000
1068215670415360
111a810115630536
1277987a2000000
132c0a93018c030
1412bb928354036
157d46a5a7d690
hex3e0ab2cda000

68215670415360 has 1568 divisors, whose sum is σ = 270026084401920. Its totient is φ = 16429887258624.

The previous prime is 68215670415329. The next prime is 68215670415427. The reversal of 68215670415360 is 6351407651286.

It is a happy number.

68215670415360 is a `hidden beast` number, since 6 + 8 + 2 + 1 + 5 + 67 + 0 + 41 + 536 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 68215670415297 and 68215670415306.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 18244360371 + ... + 18244364109.

Almost surely, 268215670415360 is an apocalyptic number.

68215670415360 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 68215670415360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135013042200960).

68215670415360 is an abundant number, since it is smaller than the sum of its proper divisors (201810413986560).

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

68215670415360 is an equidigital number, since it uses as much as digits as its factorization.

68215670415360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3848 (or 3809 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 54.

The spelling of 68215670415360 in words is "sixty-eight trillion, two hundred fifteen billion, six hundred seventy million, four hundred fifteen thousand, three hundred sixty".