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2400497817316 = 22292267132
BaseRepresentation
bin100010111011101000110…
…100011101011011100100
322111111002211010221221021
4202323220310131123210
5303312204420123231
65034435023100524
7335300400532354
oct42735064353344
98444084127837
102400497817316
11846055489755
12329295a41744
1314549b072171
1484282bdab64
154269845c811
hex22ee8d1d6e4

2400497817316 has 27 divisors (see below), whose sum is σ = 4350886773051. Its totient is φ = 1158817633344.

The previous prime is 2400497817271. The next prime is 2400497817317. The reversal of 2400497817316 is 6137187940042.

It is a happy number.

The square root of 2400497817316 is 1549354.

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 908914356900 + 1491583460416 = 953370^2 + 1221304^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2400497817317) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 89849176 + ... + 89875888.

Almost surely, 22400497817316 is an apocalyptic number.

2400497817316 is the 1549354-th square number.

It is an amenable number.

2400497817316 is a deficient number, since it is larger than the sum of its proper divisors (1950388955735).

2400497817316 is an frugal number, since it uses more digits than its factorization.

2400497817316 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53488 (or 26744 counting only the distinct ones).

The product of its (nonzero) digits is 2032128, while the sum is 52.

The spelling of 2400497817316 in words is "two trillion, four hundred billion, four hundred ninety-seven million, eight hundred seventeen thousand, three hundred sixteen".

Divisors: 1 2 4 29 58 116 841 1682 3364 26713 53426 106852 774677 1549354 3098708 22465633 44931266 89862532 713584369 1427168738 2854337476 20693946701 41387893402 82775786804 600124454329 1200248908658 2400497817316