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2362049314816 = 214120072
BaseRepresentation
bin100010010111110101000…
…111000100000000000000
322100210212021111122220011
4202113311013010000000
5302144434111033231
65005035510154304
7332436532622032
oct42276507040000
98323767448804
102362049314816
11830815294754
12321945652994
13141981572a79
14824766d9c52
1541697c939b1
hex225f51c4000

2362049314816 has 45 divisors (see below), whose sum is σ = 4724347927719. Its totient is φ = 1180926296064.

The previous prime is 2362049314813. The next prime is 2362049314843. The reversal of 2362049314816 is 6184139402632.

The square root of 2362049314816 is 1536896.

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

It is a super-2 number, since 2×23620493148162 (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 2362049314816.

It is not an unprimeable number, because it can be changed into a prime (2362049314813) by changing a digit.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 196716685 + ... + 196728691.

Almost surely, 22362049314816 is an apocalyptic number.

2362049314816 is the 1536896-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2362049314816

2362049314816 is an abundant number, since it is smaller than the sum of its proper divisors (2362298612903).

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

2362049314816 is an frugal number, since it uses more digits than its factorization.

2362049314816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24042 (or 12009 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 49.

Multiplying 2362049314816 by its sum of digits (49), we get a square (115740416425984 = 107582722).

The spelling of 2362049314816 in words is "two trillion, three hundred sixty-two billion, forty-nine million, three hundred fourteen thousand, eight hundred sixteen".

Divisors: 1 2 4 8 16 32 64 128 256 512 1024 2048 4096 8192 12007 16384 24014 48028 96056 192112 384224 768448 1536896 3073792 6147584 12295168 24590336 49180672 98361344 144168049 196722688 288336098 576672196 1153344392 2306688784 4613377568 9226755136 18453510272 36907020544 73814041088 147628082176 295256164352 590512328704 1181024657408 2362049314816