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6041276416 = 2127239161
BaseRepresentation
bin1011010000001011…
…01001000000000000
3120121000201122021101
411220011221000000
544333031321131
62435245304144
7302465000530
oct55005510000
916530648241
106041276416
11262016342a
121207265054
137537bb596
144144b54c0
1525558cc61
hex168169000

6041276416 has 104 divisors (see below), whose sum is σ = 14408820864. Its totient is φ = 2476277760.

The previous prime is 6041276411. The next prime is 6041276431. The reversal of 6041276416 is 6146721406.

It is not an unprimeable number, because it can be changed into a prime (6041276411) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 654876 + ... + 664036.

Almost surely, 26041276416 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6041276416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7204410432).

6041276416 is an abundant number, since it is smaller than the sum of its proper divisors (8367544448).

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

6041276416 is an equidigital number, since it uses as much as digits as its factorization.

6041276416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9215 (or 9193 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 37.

The square root of 6041276416 is about 77725.6483794121. The cubic root of 6041276416 is about 1821.2779753378.

The spelling of 6041276416 in words is "six billion, forty-one million, two hundred seventy-six thousand, four hundred sixteen".

Divisors: 1 2 4 7 8 14 16 23 28 32 46 56 64 92 112 128 161 184 224 256 322 368 448 512 644 736 896 1024 1288 1472 1792 2048 2576 2944 3584 4096 5152 5888 7168 9161 10304 11776 14336 18322 20608 23552 28672 36644 41216 47104 64127 73288 82432 94208 128254 146576 164864 210703 256508 293152 329728 421406 513016 586304 659456 842812 1026032 1172608 1474921 1685624 2052064 2345216 2949842 3371248 4104128 4690432 5899684 6742496 8208256 9380864 11799368 13484992 16416512 18761728 23598736 26969984 32833024 37523456 47197472 53939968 65666048 94394944 107879936 131332096 188789888 215759872 262664192 377579776 431519744 755159552 863039488 1510319104 3020638208 6041276416