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1377335512050 = 235231159349789
BaseRepresentation
bin10100000010101111100…
…110000000101111110010
311212200010212202111220020
4110002233212000233302
5140031240342341200
62532423400024310
7201336441453501
oct24025746005762
94780125674806
101377335512050
11491140a98013
121a2b2aa62096
139cb611ca664
144a9404d6838
1525c63525ea0
hex140af980bf2

1377335512050 has 96 divisors (see below), whose sum is σ = 3432622976640. Its totient is φ = 365483750400.

The previous prime is 1377335512043. The next prime is 1377335512057. The reversal of 1377335512050 is 502155337731.

It is an interprime number because it is at equal distance from previous prime (1377335512043) and next prime (1377335512057).

It is a super-2 number, since 2×13773355120502 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1377335511993 and 1377335512011.

It is not an unprimeable number, because it can be changed into a prime (1377335512057) 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 47 ways as a sum of consecutive naturals, for example, 27638556 + ... + 27688344.

It is an arithmetic number, because the mean of its divisors is an integer number (35756489340).

Almost surely, 21377335512050 is an apocalyptic number.

1377335512050 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1377335512050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1716311488320).

1377335512050 is an abundant number, since it is smaller than the sum of its proper divisors (2055287464590).

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

1377335512050 is a wasteful number, since it uses less digits than its factorization.

1377335512050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50708 (or 50703 counting only the distinct ones).

The product of its (nonzero) digits is 330750, while the sum is 42.

The spelling of 1377335512050 in words is "one trillion, three hundred seventy-seven billion, three hundred thirty-five million, five hundred twelve thousand, fifty".

Divisors: 1 2 3 5 6 10 15 25 30 50 75 150 311 593 622 933 1186 1555 1779 1866 2965 3110 3558 4665 5930 7775 8895 9330 14825 15550 17790 23325 29650 44475 46650 49789 88950 99578 149367 184423 248945 298734 368846 497890 553269 746835 922115 1106538 1244725 1493670 1844230 2489450 2766345 3734175 4610575 5532690 7468350 9221150 13831725 15484379 27663450 29524877 30968758 46453137 59049754 77421895 88574631 92906274 147624385 154843790 177149262 232265685 295248770 387109475 442873155 464531370 738121925 774218950 885746310 1161328425 1476243850 2214365775 2322656850 4428731550 9182236747 18364473494 27546710241 45911183735 55093420482 91822367470 137733551205 229555918675 275467102410 459111837350 688667756025 1377335512050