Search a number
-
+
78242367778260 = 223575471031330329
BaseRepresentation
bin10001110010100100111000…
…100010011010110111010100
3101021000220020010201222210220
4101302210320202122313110
540223410332122401020
6434224014134114340
722323552545542560
oct2162447042326724
9337026203658726
1078242367778260
1122a26446922434
128937a8a7ab9b0
1334872ba3b5bba
141546d450266a0
1590a3e46c6240
hex47293889add4

78242367778260 has 192 divisors, whose sum is σ = 251077353246720. Its totient is φ = 17833906621440.

The previous prime is 78242367778241. The next prime is 78242367778303. The reversal of 78242367778260 is 6287776324287.

It is a super-2 number, since 2×782423677782602 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 236696776 + ... + 237027104.

It is an arithmetic number, because the mean of its divisors is an integer number (1307694548160).

Almost surely, 278242367778260 is an apocalyptic number.

78242367778260 is a gapful number since it is divisible by the number (70) 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 78242367778260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125538676623360).

78242367778260 is an abundant number, since it is smaller than the sum of its proper divisors (172834985468460).

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

78242367778260 is a wasteful number, since it uses less digits than its factorization.

78242367778260 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 331926 (or 331924 counting only the distinct ones).

The product of its (nonzero) digits is 531062784, while the sum is 69.

The spelling of 78242367778260 in words is "seventy-eight trillion, two hundred forty-two billion, three hundred sixty-seven million, seven hundred seventy-eight thousand, two hundred sixty".