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6116503680 = 273257295231
BaseRepresentation
bin1011011001001001…
…00111000010000000
3120210021021120200100
411230210213002000
5100011311104210
62450533522400
7304400265150
oct55444470200
916707246610
106116503680
112659674821
1212284a3400
1376626a461
14420498760
1525be9c5c0
hex16c927080

6116503680 has 384 divisors, whose sum is σ = 24975475200. Its totient is φ = 1349591040.

The previous prime is 6116503583. The next prime is 6116503691. The reversal of 6116503680 is 863056116.

It is a happy number.

6116503680 is a `hidden beast` number, since 61 + 16 + 503 + 6 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1166665 + ... + 1171895.

It is an arithmetic number, because the mean of its divisors is an integer number (65040300).

Almost surely, 26116503680 is an apocalyptic number.

6116503680 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 6116503680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12487737600).

6116503680 is an abundant number, since it is smaller than the sum of its proper divisors (18858971520).

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

6116503680 is a wasteful number, since it uses less digits than its factorization.

6116503680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5292 (or 5277 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 6116503680 is about 78208.0793780285. The cubic root of 6116503680 is about 1828.8064599308.

Adding to 6116503680 its reverse (863056116), we get a palindrome (6979559796).

It can be divided in two parts, 6116 and 503680, that added together give a square (509796 = 7142).

The spelling of 6116503680 in words is "six billion, one hundred sixteen million, five hundred three thousand, six hundred eighty".