Search a number
-
+
78479786112 = 2737213320839
BaseRepresentation
bin100100100010111000…
…0101000000010000000
321111120101120012120220
41021011300220002000
52241211311123422
6100015250103040
75445542114100
oct1110560500200
9244511505526
1078479786112
113031287a972
121326287aa80
1375291b5c80
143b26cd3200
152094ccee5c
hex1245c28080

78479786112 has 192 divisors, whose sum is σ = 261150926400. Its totient is φ = 20697901056.

The previous prime is 78479786107. The next prime is 78479786123. The reversal of 78479786112 is 21168797487.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Smith number, since the sum of its digits (60) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 84189 + ... + 405027.

It is an arithmetic number, because the mean of its divisors is an integer number (1360161075).

Almost surely, 278479786112 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 78479786112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130575463200).

78479786112 is an abundant number, since it is smaller than the sum of its proper divisors (182671140288).

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

78479786112 is a wasteful number, since it uses less digits than its factorization.

78479786112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 320883 (or 320864 counting only the distinct ones).

The product of its digits is 9483264, while the sum is 60.

The spelling of 78479786112 in words is "seventy-eight billion, four hundred seventy-nine million, seven hundred eighty-six thousand, one hundred twelve".