Search a number
-
+
1357542320500 = 22538930506569
BaseRepresentation
bin10011110000010011110…
…100111110100101110100
311210210001110101012111201
4103300103310332211310
5134220221313224000
62515351335142244
7200036110221622
oct23602364764564
94723043335451
101357542320500
11483804281273
1219b126214984
139b028621cb2
14499c3886512
15254a5a0b96a
hex13c13d3e974

1357542320500 has 48 divisors (see below), whose sum is σ = 2998185699600. Its totient is φ = 536915596800.

The previous prime is 1357542320419. The next prime is 1357542320501. The reversal of 1357542320500 is 50232457531.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 1062243545104 + 295298775396 = 1030652^2 + 543414^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 1357542320500.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1357542320501) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15208785 + ... + 15297784.

It is an arithmetic number, because the mean of its divisors is an integer number (62462202075).

Almost surely, 21357542320500 is an apocalyptic number.

1357542320500 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1357542320500 is an abundant number, since it is smaller than the sum of its proper divisors (1640643379100).

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

1357542320500 is a wasteful number, since it uses less digits than its factorization.

1357542320500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30506677 (or 30506665 counting only the distinct ones).

The product of its (nonzero) digits is 126000, while the sum is 37.

The spelling of 1357542320500 in words is "one trillion, three hundred fifty-seven billion, five hundred forty-two million, three hundred twenty thousand, five hundred".

Divisors: 1 2 4 5 10 20 25 50 89 100 125 178 250 356 445 500 890 1780 2225 4450 8900 11125 22250 44500 30506569 61013138 122026276 152532845 305065690 610131380 762664225 1525328450 2715084641 3050656900 3813321125 5430169282 7626642250 10860338564 13575423205 15253284500 27150846410 54301692820 67877116025 135754232050 271508464100 339385580125 678771160250 1357542320500