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274401466080 = 253572293783131
BaseRepresentation
bin1111111110001110011…
…0100001011011100000
3222020021111202202202020
43333203212201123200
513443433233403310
6330020331421440
725552631656200
oct3774346413340
9866244682666
10274401466080
11a6411523945
12452205b4880
131cb505c0c11
14d3d14b4400
1572101ad170
hex3fe39a16e0

274401466080 has 1152 divisors, whose sum is σ = 1089393338880. Its totient is φ = 57766625280.

The previous prime is 274401466067. The next prime is 274401466103. The reversal of 274401466080 is 80664104472.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2094667615 + ... + 2094667745.

It is an arithmetic number, because the mean of its divisors is an integer number (945653940).

Almost surely, 2274401466080 is an apocalyptic number.

274401466080 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 274401466080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (544696669440).

274401466080 is an abundant number, since it is smaller than the sum of its proper divisors (814991872800).

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

274401466080 is a wasteful number, since it uses less digits than its factorization.

274401466080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 312 (or 297 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 42.

The spelling of 274401466080 in words is "two hundred seventy-four billion, four hundred one million, four hundred sixty-six thousand, eighty".