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643116063104 = 2759163752021
BaseRepresentation
bin10010101101111001011…
…01000101100110000000
32021110222212022222222022
421112330231011212000
541014100203004404
61211235441101012
764315005224624
oct11267455054600
92243885288868
10643116063104
112288202849a9
12a4782327768
1348851470298
14231ac62b184
1511ae01c28be
hex95bcb45980

643116063104 has 64 divisors (see below), whose sum is σ = 1303744150800. Its totient is φ = 315908720640.

The previous prime is 643116063091. The next prime is 643116063173. The reversal of 643116063104 is 401360611346.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×6431160631042 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12336614 + ... + 12388634.

Almost surely, 2643116063104 is an apocalyptic number.

643116063104 is a gapful number since it is divisible by the number (64) 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 643116063104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (651872075400).

643116063104 is an abundant number, since it is smaller than the sum of its proper divisors (660628087696).

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

643116063104 is a wasteful number, since it uses less digits than its factorization.

643116063104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53731 (or 53719 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 35.

The spelling of 643116063104 in words is "six hundred forty-three billion, one hundred sixteen million, sixty-three thousand, one hundred four".

Divisors: 1 2 4 8 16 32 59 64 118 128 236 472 944 1637 1888 3274 3776 6548 7552 13096 26192 52021 52384 96583 104042 104768 193166 208084 209536 386332 416168 772664 832336 1545328 1664672 3069239 3090656 3329344 6138478 6181312 6658688 12276956 12362624 24553912 49107824 85158377 98215648 170316754 196431296 340633508 392862592 681267016 1362534032 2725068064 5024344243 5450136128 10048688486 10900272256 20097376972 40194753944 80389507888 160779015776 321558031552 643116063104