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1351265489728 = 267111861147341
BaseRepresentation
bin10011101010011101101…
…100110001001101000000
311210011212000102011101221
4103222131230301031000
5134114342431132403
62512432433004424
7166424422102510
oct23523554611500
94704760364357
101351265489728
11481083161420
12199a740b3714
139a5680ab24b
1449589db5840
152523993edbd
hex13a9db31340

1351265489728 has 112 divisors (see below), whose sum is σ = 3344885002368. Its totient is φ = 526180608000.

The previous prime is 1351265489713. The next prime is 1351265489729. The reversal of 1351265489728 is 8279845621531.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1351265489729) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9097338 + ... + 9244678.

It is an arithmetic number, because the mean of its divisors is an integer number (29865044664).

Almost surely, 21351265489728 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 1351265489728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1672442501184).

1351265489728 is an abundant number, since it is smaller than the sum of its proper divisors (1993619512640).

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

1351265489728 is a wasteful number, since it uses less digits than its factorization.

1351265489728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149232 (or 149222 counting only the distinct ones).

The product of its digits is 29030400, while the sum is 61.

The spelling of 1351265489728 in words is "one trillion, three hundred fifty-one billion, two hundred sixty-five million, four hundred eighty-nine thousand, seven hundred twenty-eight".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 64 77 88 112 154 176 224 308 352 448 616 704 1232 1861 2464 3722 4928 7444 13027 14888 20471 26054 29776 40942 52108 59552 81884 104216 119104 143297 147341 163768 208432 286594 294682 327536 416864 573188 589364 655072 833728 1031387 1146376 1178728 1310144 1620751 2062774 2292752 2357456 3241502 4125548 4585504 4714912 6483004 8251096 9171008 9429824 11345257 12966008 16502192 22690514 25932016 33004384 45381028 51864032 66008768 90762056 103728064 181524112 274201601 363048224 548403202 726096448 1096806404 1919411207 2193612808 3016217611 3838822414 4387225616 6032435222 7677644828 8774451232 12064870444 15355289656 17548902464 21113523277 24129740888 30710579312 42227046554 48259481776 61421158624 84454093108 96518963552 122842317248 168908186216 193037927104 337816372432 675632744864 1351265489728