Search a number
-
+
274940993088 = 2635591092749
BaseRepresentation
bin1000000000000111100…
…00101001111001000000
3222021200002222120200000
410000003300221321000
514001034343234323
6330150043400000
725602202611216
oct4000360517100
9867602876600
10274940993088
11a6669028533
1245351223000
131cc08305478
14d442dd8cb6
157242732e43
hex4003c29e40

274940993088 has 336 divisors, whose sum is σ = 839038200000. Its totient is φ = 89234638848.

The previous prime is 274940993059. The next prime is 274940993099. The reversal of 274940993088 is 880399049472.

274940993088 is a `hidden beast` number, since 27 + 49 + 409 + 93 + 0 + 88 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 100013538 + ... + 100016286.

It is an arithmetic number, because the mean of its divisors is an integer number (2497137500).

Almost surely, 2274940993088 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 274940993088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (419519100000).

274940993088 is an abundant number, since it is smaller than the sum of its proper divisors (564097206912).

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

274940993088 is a wasteful number, since it uses less digits than its factorization.

274940993088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2944 (or 2922 counting only the distinct ones).

The product of its (nonzero) digits is 31352832, while the sum is 63.

It can be divided in two parts, 274940 and 993088, that added together give a triangular number (1268028 = T1592).

The spelling of 274940993088 in words is "two hundred seventy-four billion, nine hundred forty million, nine hundred ninety-three thousand, eighty-eight".