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78883601140 = 22537821129841
BaseRepresentation
bin100100101110111010…
…1000011101011110100
321112121112102010200001
41021131311003223310
52243023200214030
6100123313201044
75461544355301
oct1113565035364
9245545363601
1078883601140
11304aa8110a3
1213355b60184
137591a61b86
143b647ac0a8
1520ba498cca
hex125dd43af4

78883601140 has 48 divisors (see below), whose sum is σ = 170341277904. Its totient is φ = 30663014400.

The previous prime is 78883601117. The next prime is 78883601197. The reversal of 78883601140 is 4110638887.

It can be written as a sum of positive squares in 8 ways, for example, as 1508390244 + 77375210896 = 38838^2 + 278164^2 .

It is a super-4 number, since 4×788836011404 (a number of 45 digits) contains 4444 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 542620 + ... + 672460.

It is an arithmetic number, because the mean of its divisors is an integer number (3548776623).

Almost surely, 278883601140 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 78883601140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85170638952).

78883601140 is an abundant number, since it is smaller than the sum of its proper divisors (91457676764).

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

78883601140 is a wasteful number, since it uses less digits than its factorization.

78883601140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130708 (or 130706 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 46.

The spelling of 78883601140 in words is "seventy-eight billion, eight hundred eighty-three million, six hundred one thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 37 74 148 185 370 740 821 1642 3284 4105 8210 16420 30377 60754 121508 129841 151885 259682 303770 519364 607540 649205 1298410 2596820 4804117 9608234 19216468 24020585 48041170 96082340 106599461 213198922 426397844 532997305 1065994610 2131989220 3944180057 7888360114 15776720228 19720900285 39441800570 78883601140