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368482992784 = 2429252332
BaseRepresentation
bin1010101110010110100…
…11000100001010010000
31022020010012202111221021
411113023103010022100
522014123121232114
6441140113205224
735423231521414
oct5271323041220
91266105674837
10368482992784
111323000523a5
125b4b8260814
1328994baab4a
1413b984a8d44
1598b9a16024
hex55cb4c4290

368482992784 has 45 divisors (see below), whose sum is σ = 739544510523. Its totient is φ = 177854347776.

The previous prime is 368482992749. The next prime is 368482992827. The reversal of 368482992784 is 487299284863.

The square root of 368482992784 is 607028.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 122990490000 + 245492502784 = 350700^2 + 495472^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 70412632 + ... + 70417864.

Almost surely, 2368482992784 is an apocalyptic number.

368482992784 is the 607028-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 368482992784

368482992784 is an abundant number, since it is smaller than the sum of its proper divisors (371061517739).

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

368482992784 is an frugal number, since it uses more digits than its factorization.

368482992784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10532 (or 5264 counting only the distinct ones).

The product of its digits is 334430208, while the sum is 70.

The spelling of 368482992784 in words is "three hundred sixty-eight billion, four hundred eighty-two million, nine hundred ninety-two thousand, seven hundred eighty-four".

Divisors: 1 2 4 8 16 29 58 116 232 464 841 1682 3364 5233 6728 10466 13456 20932 41864 83728 151757 303514 607028 1214056 2428112 4400953 8801906 17603812 27384289 35207624 54768578 70415248 109537156 219074312 438148624 794144381 1588288762 3176577524 6353155048 12706310096 23030187049 46060374098 92120748196 184241496392 368482992784