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1356890052744 = 2332193632315443
BaseRepresentation
bin10011101111101100111…
…100110001100010001000
311210201101000000120100200
4103233230330301202020
5134212402323141434
62515202514532200
7200014000101432
oct23575474614210
94721330016320
101356890052744
114834aa073906
1219ab83897060
139ac53455a45
1449960db5652
1525468617199
hex13becf31888

1356890052744 has 96 divisors (see below), whose sum is σ = 3694774992480. Its totient is φ = 449852884992.

The previous prime is 1356890052731. The next prime is 1356890052751. The reversal of 1356890052744 is 4472500986531.

It is a happy number.

1356890052744 is a `hidden beast` number, since 1 + 3 + 568 + 9 + 0 + 0 + 5 + 2 + 74 + 4 = 666.

It is a super-3 number, since 3×13568900527443 (a number of 37 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 87856687 + ... + 87872129.

It is an arithmetic number, because the mean of its divisors is an integer number (38487239505).

It is a 1-persistent number, because it is pandigital, but 2⋅1356890052744 = 2713780105488 is not.

Almost surely, 21356890052744 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 1356890052744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1847387496240).

1356890052744 is an abundant number, since it is smaller than the sum of its proper divisors (2337884939736).

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

1356890052744 is a wasteful number, since it uses less digits than its factorization.

1356890052744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21971 (or 21964 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 54.

The spelling of 1356890052744 in words is "one trillion, three hundred fifty-six billion, eight hundred ninety million, fifty-two thousand, seven hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 193 386 579 772 1158 1544 1737 2316 3474 4632 6323 6948 12646 13896 15443 18969 25292 30886 37938 46329 50584 56907 61772 75876 92658 113814 123544 138987 151752 185316 227628 277974 370632 455256 555948 1111896 1220339 2440678 2980499 3661017 4881356 5960998 7322034 8941497 9762712 10983051 11921996 14644068 17882994 21966102 23843992 26824491 29288136 35765988 43932204 53648982 71531976 87864408 97646089 107297964 195292178 214595928 292938267 390584356 585876534 781168712 878814801 1171753068 1757629602 2343506136 3515259204 7030518408 18845695177 37691390354 56537085531 75382780708 113074171062 150765561416 169611256593 226148342124 339222513186 452296684248 678445026372 1356890052744