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268278807104 = 267211219127293
BaseRepresentation
bin1111100111011010101…
…0011011101001000000
3221122110210220110120222
43321312222123221000
513343413333311404
6323125013522212
725245125143400
oct3716652335100
9848423813528
10268278807104
11a385a435600
1243bb2043368
131c3b5ca9b99
14cdb0296800
156ea28e6dbe
hex3e76a9ba40

268278807104 has 504 divisors, whose sum is σ = 724632007680. Its totient is φ = 97907927040.

The previous prime is 268278807067. The next prime is 268278807133. The reversal of 268278807104 is 401708872862.

It is a super-2 number, since 2×2682788071042 (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 915627182 + ... + 915627474.

It is an arithmetic number, because the mean of its divisors is an integer number (1437761920).

Almost surely, 2268278807104 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 268278807104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (362316003840).

268278807104 is an abundant number, since it is smaller than the sum of its proper divisors (456353200576).

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

268278807104 is a wasteful number, since it uses less digits than its factorization.

268278807104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 487 (or 459 counting only the distinct ones).

The product of its (nonzero) digits is 2408448, while the sum is 53.

The spelling of 268278807104 in words is "two hundred sixty-eight billion, two hundred seventy-eight million, eight hundred seven thousand, one hundred four".