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1348510380500 = 225337647311261
BaseRepresentation
bin10011100111111001011…
…110110111000111010100
311202220202000012010001102
4103213321132313013110
5134043222124134000
62511255213245232
7166266226052213
oct23477136670724
94686660163042
101348510380500
1147a999a55048
12199425493818
139a21936a9ba
14493a811907a
1525127b213d5
hex139f97b71d4

1348510380500 has 96 divisors (see below), whose sum is σ = 3025481161248. Its totient is φ = 524697984000.

The previous prime is 1348510380499. The next prime is 1348510380517. The reversal of 1348510380500 is 50830158431.

It can be written as a sum of positive squares in 16 ways, for example, as 425289188164 + 923221192336 = 652142^2 + 960844^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 119744870 + ... + 119756130.

It is an arithmetic number, because the mean of its divisors is an integer number (31515428763).

Almost surely, 21348510380500 is an apocalyptic number.

1348510380500 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1348510380500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1512740580624).

1348510380500 is an abundant number, since it is smaller than the sum of its proper divisors (1676970780748).

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

1348510380500 is a wasteful number, since it uses less digits than its factorization.

1348510380500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17790 (or 17778 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 38.

The spelling of 1348510380500 in words is "one trillion, three hundred forty-eight billion, five hundred ten million, three hundred eighty thousand, five hundred".

Divisors: 1 2 4 5 10 20 25 37 50 74 100 125 148 185 250 370 500 740 925 1850 3700 4625 6473 9250 11261 12946 18500 22522 25892 32365 45044 56305 64730 112610 129460 161825 225220 239501 281525 323650 416657 479002 563050 647300 809125 833314 958004 1126100 1197505 1407625 1618250 1666628 2083285 2395010 2815250 3236500 4166570 4790020 5630500 5987525 8333140 10416425 11975050 20832850 23950100 29937625 41665700 52082125 59875250 72892453 104164250 119750500 145784906 208328500 291569812 364462265 728924530 1457849060 1822311325 2697020761 3644622650 5394041522 7289245300 9111556625 10788083044 13485103805 18223113250 26970207610 36446226500 53940415220 67425519025 134851038050 269702076100 337127595125 674255190250 1348510380500