Search a number
-
+
78857461872 = 2435711872441
BaseRepresentation
bin100100101110001000…
…1010110000001110000
321112112201020010100000
41021130101112001300
52243000002234442
6100120541030000
75461106236440
oct1113421260160
9245481203300
1078857461872
1130496a882a2
1213349255300
13758950c257
143b61126120
1520b8033d4c
hex125c456070

78857461872 has 240 divisors, whose sum is σ = 261887738112. Its totient is φ = 22502499840.

The previous prime is 78857461847. The next prime is 78857461873. The reversal of 78857461872 is 27816475887.

78857461872 is a `hidden beast` number, since 7 + 8 + 8 + 5 + 7 + 4 + 618 + 7 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (78857461873) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 32304172 + ... + 32306612.

Almost surely, 278857461872 is an apocalyptic number.

78857461872 is a gapful number since it is divisible by the number (72) 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 78857461872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130943869056).

78857461872 is an abundant number, since it is smaller than the sum of its proper divisors (183030276240).

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

78857461872 is a wasteful number, since it uses less digits than its factorization.

78857461872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3658 (or 3640 counting only the distinct ones).

The product of its digits is 42147840, while the sum is 63.

The spelling of 78857461872 in words is "seventy-eight billion, eight hundred fifty-seven million, four hundred sixty-one thousand, eight hundred seventy-two".