Search a number
-
+
275985323100 = 2232521574434409
BaseRepresentation
bin1000000010000100000…
…00011101010001011100
3222101100220002001010100
410001002000131101130
514010204220314400
6330441431141100
725640113353144
oct4010200352134
9871326061110
10275985323100
11a705457a093
12455a2b14790
1320043794016
14d5019a5924
1572a426e100
hex404201d45c

275985323100 has 216 divisors, whose sum is σ = 872733672720. Its totient is φ = 72945699840.

The previous prime is 275985323093. The next prime is 275985323111. The reversal of 275985323100 is 1323589572.

275985323100 is a `hidden beast` number, since 2 + 7 + 5 + 9 + 8 + 532 + 3 + 100 = 666.

It is a super-2 number, since 2×2759853231002 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 62593696 + ... + 62598104.

It is an arithmetic number, because the mean of its divisors is an integer number (4040433670).

Almost surely, 2275985323100 is an apocalyptic number.

275985323100 is a gapful number since it is divisible by the number (20) 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 275985323100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (436366836360).

275985323100 is an abundant number, since it is smaller than the sum of its proper divisors (596748349620).

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

275985323100 is a wasteful number, since it uses less digits than its factorization.

275985323100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5029 (or 5019 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 45.

The spelling of 275985323100 in words is "two hundred seventy-five billion, nine hundred eighty-five million, three hundred twenty-three thousand, one hundred".