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402348396773376 = 2183614512
BaseRepresentation
bin101101101111011110000100…
…1010001000000000000000000
31221202121010112120002211000000
41123132330021101000000000
5410214034004033222001
63543420145104000000
7150514466231066514
oct13336741121000000
91852533476084000
10402348396773376
11107222aa6860949
1239161994000000
13143673a2488121
14714daa2a76144
15317b012524a86
hex16def09440000

402348396773376 has 399 divisors, whose sum is σ = 1207323033220423. Its totient is φ = 134023702118400.

The previous prime is 402348396773329. The next prime is 402348396773377. The reversal of 402348396773376 is 673377693843204.

The square root of 402348396773376 is 20058624.

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

402348396773376 is a `hidden beast` number, since 4 + 0 + 2 + 3 + 483 + 9 + 6 + 7 + 73 + 3 + 76 = 666.

It is a super-2 number, since 2×4023483967733762 (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (402348396773377) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 277290417451 + ... + 277290418901.

Almost surely, 2402348396773376 is an apocalyptic number.

402348396773376 is the 20058624-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 402348396773376

402348396773376 is an abundant number, since it is smaller than the sum of its proper divisors (804974636447047).

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

402348396773376 is an frugal number, since it uses more digits than its factorization.

402348396773376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2956 (or 1456 counting only the distinct ones).

The product of its (nonzero) digits is 2304433152, while the sum is 72.

The spelling of 402348396773376 in words is "four hundred two trillion, three hundred forty-eight billion, three hundred ninety-six million, seven hundred seventy-three thousand, three hundred seventy-six".