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274928349696 = 293711131631097
BaseRepresentation
bin1000000000000110000…
…00011011001000000000
3222021122020012020012020
410000003000123020000
514001023124142241
6330144512401440
725601660262060
oct4000300331000
9867566166166
10274928349696
11a6661982350
1245348b46280
131cc057c9680
14d4414673a0
157241586b66
hex400301b200

274928349696 has 640 divisors, whose sum is σ = 990332614656. Its totient is φ = 65452769280.

The previous prime is 274928349673. The next prime is 274928349727. The reversal of 274928349696 is 696943829472.

Its product of digits (282175488) is a multiple of the sum of its prime divisors (1296).

It is a self number, because there is not a number n which added to its sum of digits gives 274928349696.

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, 250617820 + ... + 250618916.

Almost surely, 2274928349696 is an apocalyptic number.

274928349696 is a gapful number since it is divisible by the number (26) 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 274928349696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (495166307328).

274928349696 is an abundant number, since it is smaller than the sum of its proper divisors (715404264960).

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

274928349696 is a wasteful number, since it uses less digits than its factorization.

274928349696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1312 (or 1296 counting only the distinct ones).

The product of its digits is 282175488, while the sum is 69.

The spelling of 274928349696 in words is "two hundred seventy-four billion, nine hundred twenty-eight million, three hundred forty-nine thousand, six hundred ninety-six".