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6019056416 = 25618397383
BaseRepresentation
bin1011001101100001…
…11000001100100000
3120112110220202011102
411212300320030200
544311334301131
62433133133532
7302105064302
oct54660701440
916473822142
106019056416
11260966719a
1211bb92a2a8
1374c00b859
1441156d972
1525364e1cb
hex166c38320

6019056416 has 96 divisors (see below), whose sum is σ = 12347209728. Its totient is φ = 2886819840.

The previous prime is 6019056391. The next prime is 6019056443. The reversal of 6019056416 is 6146509106.

It is a self number, because there is not a number n which added to its sum of digits gives 6019056416.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15715361 + ... + 15715743.

It is an arithmetic number, because the mean of its divisors is an integer number (128616768).

Almost surely, 26019056416 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 6019056416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6173604864).

6019056416 is an abundant number, since it is smaller than the sum of its proper divisors (6328153312).

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

6019056416 is a wasteful number, since it uses less digits than its factorization.

6019056416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 634 (or 626 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 38.

The square root of 6019056416 is about 77582.5780443006. The cubic root of 6019056416 is about 1819.0423267424.

The spelling of 6019056416 in words is "six billion, nineteen million, fifty-six thousand, four hundred sixteen".

Divisors: 1 2 4 8 16 32 61 83 97 122 166 194 244 332 383 388 488 664 766 776 976 1328 1532 1552 1952 2656 3064 3104 5063 5917 6128 8051 10126 11834 12256 16102 20252 23363 23668 31789 32204 37151 40504 46726 47336 63578 64408 74302 81008 93452 94672 127156 128816 148604 162016 186904 189344 254312 257632 297208 373808 491111 508624 594416 747616 982222 1017248 1188832 1939129 1964444 2266211 3083533 3878258 3928888 4532422 6167066 7756516 7857776 9064844 12334132 15513032 15715552 18129688 24668264 31026064 36259376 49336528 62052128 72518752 98673056 188095513 376191026 752382052 1504764104 3009528208 6019056416