Search a number
-
+
12157770500 = 225325794613
BaseRepresentation
bin10110101001010100…
…01101101100000100
31011101021222201210022
423110222031230010
5144344342124000
65330223114312
7610165226021
oct132452155404
934337881708
1012157770500
115179820a17
122433742998
1311b9a54555
1483496a548
154b2537585
hex2d4a8db04

12157770500 has 48 divisors (see below), whose sum is σ = 26656169904. Its totient is φ = 4844134400.

The previous prime is 12157770431. The next prime is 12157770503. The reversal of 12157770500 is 507775121.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 4637065216 + 7520705284 = 68096^2 + 86722^2 .

It is a super-2 number, since 2×121577705002 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (12157770503) 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, 81194 + ... + 175806.

It is an arithmetic number, because the mean of its divisors is an integer number (555336873).

Almost surely, 212157770500 is an apocalyptic number.

12157770500 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 12157770500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13328084952).

12157770500 is an abundant number, since it is smaller than the sum of its proper divisors (14498399404).

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

12157770500 is a wasteful number, since it uses less digits than its factorization.

12157770500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94889 (or 94877 counting only the distinct ones).

The product of its (nonzero) digits is 17150, while the sum is 35.

The spelling of 12157770500 in words is "twelve billion, one hundred fifty-seven million, seven hundred seventy thousand, five hundred".

Divisors: 1 2 4 5 10 20 25 50 100 125 250 257 500 514 1028 1285 2570 5140 6425 12850 25700 32125 64250 94613 128500 189226 378452 473065 946130 1892260 2365325 4730650 9461300 11826625 23653250 24315541 47306500 48631082 97262164 121577705 243155410 486310820 607888525 1215777050 2431554100 3039442625 6078885250 12157770500