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78414386664 = 23331166963149
BaseRepresentation
bin100100100000111011…
…1001001010111101000
321111101211111120102010
41021001313021113220
52241043040333124
6100004552235520
75444116201125
oct1110167112750
9244354446363
1078414386664
1130289971339
121324499bba0
137518798483
143b1c34b74c
15208e1b2529
hex1241dc95e8

78414386664 has 64 divisors (see below), whose sum is σ = 202484160000. Its totient is φ = 25279407360.

The previous prime is 78414386653. The next prime is 78414386671. The reversal of 78414386664 is 46668341487.

It is a super-2 number, since 2×784143866642 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1210162 + ... + 1273310.

It is an arithmetic number, because the mean of its divisors is an integer number (3163815000).

Almost surely, 278414386664 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 78414386664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101242080000).

78414386664 is an abundant number, since it is smaller than the sum of its proper divisors (124069773336).

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

78414386664 is a wasteful number, since it uses less digits than its factorization.

78414386664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64858 (or 64854 counting only the distinct ones).

The product of its digits is 18579456, while the sum is 57.

The spelling of 78414386664 in words is "seventy-eight billion, four hundred fourteen million, three hundred eighty-six thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 24 31 62 93 124 186 248 372 744 1669 3338 5007 6676 10014 13352 20028 40056 51739 63149 103478 126298 155217 189447 206956 252596 310434 378894 413912 505192 620868 757788 1241736 1515576 1957619 3915238 5872857 7830476 11745714 15660952 23491428 46982856 105395681 210791362 316187043 421582724 632374086 843165448 1264748172 2529496344 3267266111 6534532222 9801798333 13069064444 19603596666 26138128888 39207193332 78414386664