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6119993880 = 23355711131737
BaseRepresentation
bin1011011001100011…
…11011001000011000
3120210111211220100000
411230301323020120
5100013204301010
62451140413000
7304442042520
oct55461731030
916714756300
106119993880
112660638a90
1212296a7160
13766bbcc70
14420b26680
1525c43b7c0
hex16cc7b218

6119993880 has 1536 divisors, whose sum is σ = 30116136960. Its totient is φ = 1074954240.

The previous prime is 6119993857. The next prime is 6119993903. The reversal of 6119993880 is 883999116.

It is an interprime number because it is at equal distance from previous prime (6119993857) and next prime (6119993903).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 165405222 + ... + 165405258.

It is an arithmetic number, because the mean of its divisors is an integer number (19606860).

Almost surely, 26119993880 is an apocalyptic number.

6119993880 is a gapful number since it is divisible by the number (60) 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 6119993880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15058068480).

6119993880 is an abundant number, since it is smaller than the sum of its proper divisors (23996143080).

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

6119993880 is a wasteful number, since it uses less digits than its factorization.

6119993880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 839808, while the sum is 54.

The square root of 6119993880 is about 78230.3897472076. The cubic root of 6119993880 is about 1829.1542450357.

It can be divided in two parts, 6119 and 993880, that added together give a palindrome (999999).

The spelling of 6119993880 in words is "six billion, one hundred nineteen million, nine hundred ninety-three thousand, eight hundred eighty".