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64417061214 = 23311691156941
BaseRepresentation
bin111011111111100011…
…100101100101011110
320011021100001202122000
4323333203211211132
52023411231424324
645332013103130
74440212662122
oct737743454536
9204240052560
1064417061214
112535682a580
1210599187aa6
1360c78b4a8c
14319136d582
151a2040b9c9
hexeff8e595e

64417061214 has 64 divisors (see below), whose sum is σ = 156389564160. Its totient is φ = 19491948000.

The previous prime is 64417061207. The next prime is 64417061251. The reversal of 64417061214 is 41216071446.

It is a happy number.

64417061214 is a `hidden beast` number, since 644 + 1 + 7 + 0 + 6 + 1 + 2 + 1 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 331984 + ... + 488924.

It is an arithmetic number, because the mean of its divisors is an integer number (2443586940).

Almost surely, 264417061214 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 64417061214, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78194782080).

64417061214 is an abundant number, since it is smaller than the sum of its proper divisors (91972502946).

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

64417061214 is a wasteful number, since it uses less digits than its factorization.

64417061214 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157654 (or 157648 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 64417061214 in words is "sixty-four billion, four hundred seventeen million, sixty-one thousand, two hundred fourteen".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 99 198 297 594 691 1382 2073 4146 6219 7601 12438 15202 18657 22803 37314 45606 68409 136818 156941 205227 313882 410454 470823 941646 1412469 1726351 2824938 3452702 4237407 5179053 8474814 10358106 15537159 31074318 46611477 93222954 108446231 216892462 325338693 650677386 976016079 1192908541 1952032158 2385817082 2928048237 3578725623 5856096474 7157451246 10736176869 21472353738 32208530607 64417061214