Search a number
-
+
6100613442 = 23371119314753
BaseRepresentation
bin1011010111001111…
…11111100101000010
3120202011101021101000
411223213333211002
544443224112232
62445205152430
7304115234010
oct55347774502
916664337330
106100613442
1126507011a0
1212230bb716
13762b95851
1441c31d8b0
1525a8ae27c
hex16b9ff942

6100613442 has 512 divisors, whose sum is σ = 19110297600. Its totient is φ = 1395014400.

The previous prime is 6100613437. The next prime is 6100613459. The reversal of 6100613442 is 2443160016.

6100613442 is a `hidden beast` number, since 6 + 1 + 0 + 0 + 613 + 4 + 42 = 666.

It is a super-2 number, since 2×61006134422 = 74434968737422174728, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 115105888 + ... + 115105940.

It is an arithmetic number, because the mean of its divisors is an integer number (37324800).

Almost surely, 26100613442 is an apocalyptic number.

6100613442 is a gapful number since it is divisible by the number (62) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 6100613442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9555148800).

6100613442 is an abundant number, since it is smaller than the sum of its proper divisors (13009684158).

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

6100613442 is a wasteful number, since it uses less digits than its factorization.

6100613442 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 179 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 6100613442 is about 78106.4238203235. The cubic root of 6100613442 is about 1827.2213838142.

Adding to 6100613442 its reverse (2443160016), we get a palindrome (8543773458).

The spelling of 6100613442 in words is "six billion, one hundred million, six hundred thirteen thousand, four hundred forty-two".