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274106386398 = 231361130144281
BaseRepresentation
bin1111111101001000000…
…0111000011111011110
3222012111221112011112010
43333102000320133132
513442332213331043
6325531151052050
725542416561445
oct3772200703736
9865457464463
10274106386398
11a627aa00139
1245159811026
131cb04426860
14d3a4221d5c
1571e4322133
hex3fd20387de

274106386398 has 64 divisors (see below), whose sum is σ = 600536188224. Its totient is φ = 82892160000.

The previous prime is 274106386387. The next prime is 274106386399. The reversal of 274106386398 is 893683601472.

It is a super-2 number, since 2×2741063863982 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (274106386399) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6168018 + ... + 6212298.

It is an arithmetic number, because the mean of its divisors is an integer number (9383377941).

Almost surely, 2274106386398 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 274106386398, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (300268094112).

274106386398 is an abundant number, since it is smaller than the sum of its proper divisors (326429801826).

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

274106386398 is a wasteful number, since it uses less digits than its factorization.

274106386398 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45661.

The product of its (nonzero) digits is 10450944, while the sum is 57.

The spelling of 274106386398 in words is "two hundred seventy-four billion, one hundred six million, three hundred eighty-six thousand, three hundred ninety-eight".

Divisors: 1 2 3 6 13 26 39 61 78 122 183 366 793 1301 1586 2379 2602 3903 4758 7806 16913 33826 44281 50739 79361 88562 101478 132843 158722 238083 265686 476166 575653 1031693 1151306 1726959 2063386 2701141 3095079 3453918 5402282 6190158 8103423 16206846 35114833 57609581 70229666 105344499 115219162 172828743 210688998 345657486 748924553 1497849106 2246773659 3514184441 4493547318 7028368882 10542553323 21085106646 45684397733 91368795466 137053193199 274106386398