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67098114816 = 283461189517
BaseRepresentation
bin111110011111010110…
…111111101100000000
320102012011221101202120
4332133112333230000
52044404104133231
650454025244240
74563516364665
oct763726775400
9212164841676
1067098114816
1126502155857
1211007033680
136434196825
14336746da6c
151b2a99cd96
hexf9f5bfb00

67098114816 has 72 divisors (see below), whose sum is σ = 178967153904. Its totient is φ = 22317404160.

The previous prime is 67098114767. The next prime is 67098114817. The reversal of 67098114816 is 61841189076.

It is a super-2 number, since 2×670981148162 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (67098114817) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 259290 + ... + 448806.

Almost surely, 267098114816 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 67098114816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89483576952).

67098114816 is an abundant number, since it is smaller than the sum of its proper divisors (111869039088).

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

67098114816 is a wasteful number, since it uses less digits than its factorization.

67098114816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189997 (or 189983 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 51.

The spelling of 67098114816 in words is "sixty-seven billion, ninety-eight million, one hundred fourteen thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 461 768 922 1383 1844 2766 3688 5532 7376 11064 14752 22128 29504 44256 59008 88512 118016 177024 189517 354048 379034 568551 758068 1137102 1516136 2274204 3032272 4548408 6064544 9096816 12129088 18193632 24258176 36387264 48516352 72774528 87367337 145549056 174734674 262102011 349469348 524204022 698938696 1048408044 1397877392 2096816088 2795754784 4193632176 5591509568 8387264352 11183019136 16774528704 22366038272 33549057408 67098114816