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268475719680 = 2133257289167
BaseRepresentation
bin1111101000001001100…
…1100110000000000000
3221122222112102122212100
43322002121212000000
513344314241012210
6323200330230400
725253035651500
oct3720231460000
9848875378770
10268475719680
11a39505a9973
1244047b85400
131c417a22abc
14cdcc4b3a00
156eb4d415c0
hex3e82666000

268475719680 has 1008 divisors, whose sum is σ = 1101322928160. Its totient is φ = 60313042944.

The previous prime is 268475719663. The next prime is 268475719691. The reversal of 268475719680 is 86917574862.

268475719680 is a `hidden beast` number, since 2 + 6 + 8 + 475 + 71 + 96 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1607638957 + ... + 1607639123.

It is an arithmetic number, because the mean of its divisors is an integer number (1092582270).

Almost surely, 2268475719680 is an apocalyptic number.

268475719680 is a gapful number since it is divisible by the number (20) 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 268475719680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (550661464080).

268475719680 is an abundant number, since it is smaller than the sum of its proper divisors (832847208480).

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

268475719680 is a wasteful number, since it uses less digits than its factorization.

268475719680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 307 (or 273 counting only the distinct ones).

The product of its (nonzero) digits is 40642560, while the sum is 63.

The spelling of 268475719680 in words is "two hundred sixty-eight billion, four hundred seventy-five million, seven hundred nineteen thousand, six hundred eighty".