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78363518364 = 2234653370387
BaseRepresentation
bin100100011111011010…
…1000110010110011100
321111021021210012020000
41020332311012112130
52240442030041424
655555534054300
75442630626055
oct1107665062634
9244237705200
1078363518364
113026318821a
121322b94a390
13750b097aa1
143b156a972c
1520899b53c9
hex123ed4659c

78363518364 has 60 divisors (see below), whose sum is σ = 205171987944. Its totient is φ = 26081100576.

The previous prime is 78363518351. The next prime is 78363518369. The reversal of 78363518364 is 46381536387.

78363518364 is a `hidden beast` number, since 7 + 8 + 3 + 63 + 518 + 3 + 64 = 666.

It is a super-2 number, since 2×783635183642 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 78363518364.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (78363518369) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 26379 + ... + 396765.

Almost surely, 278363518364 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 78363518364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102585993972).

78363518364 is an abundant number, since it is smaller than the sum of its proper divisors (126808469580).

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

78363518364 is a wasteful number, since it uses less digits than its factorization.

78363518364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 371056 (or 371045 counting only the distinct ones).

The product of its digits is 8709120, while the sum is 54.

The spelling of 78363518364 in words is "seventy-eight billion, three hundred sixty-three million, five hundred eighteen thousand, three hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 324 653 1306 1959 2612 3918 5877 7836 11754 17631 23508 35262 52893 70524 105786 211572 370387 740774 1111161 1481548 2222322 3333483 4444644 6666966 10000449 13333932 20000898 30001347 40001796 60002694 120005388 241862711 483725422 725588133 967450844 1451176266 2176764399 2902352532 4353528798 6530293197 8707057596 13060586394 19590879591 26121172788 39181759182 78363518364