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68356509480 = 233257149307593
BaseRepresentation
bin111111101010010111…
…011000111100101000
320112102212211110201100
4333222113120330220
52104443231300410
651222541121400
74636636513050
oct775227307450
9215385743640
1068356509480
1126a98516346
12112b8559260
1365a4ac535c
143446640560
151ba11c08c0
hexfea5d8f28

68356509480 has 384 divisors, whose sum is σ = 256864608000. Its totient is φ = 15442845696.

The previous prime is 68356509479. The next prime is 68356509491. The reversal of 68356509480 is 8490565386.

It is a happy number.

68356509480 is a `hidden beast` number, since 6 + 8 + 3 + 56 + 509 + 4 + 80 = 666.

It is a super-2 number, since 2×683565094802 (a number of 22 digits) contains 22 as substring.

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, 115272064 + ... + 115272656.

It is an arithmetic number, because the mean of its divisors is an integer number (668918250).

Almost surely, 268356509480 is an apocalyptic number.

68356509480 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 68356509480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128432304000).

68356509480 is an abundant number, since it is smaller than the sum of its proper divisors (188508098520).

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

68356509480 is a wasteful number, since it uses less digits than its factorization.

68356509480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1073 (or 1066 counting only the distinct ones).

The product of its (nonzero) digits is 6220800, while the sum is 54.

The spelling of 68356509480 in words is "sixty-eight billion, three hundred fifty-six million, five hundred nine thousand, four hundred eighty".