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6049836864 = 263743223
BaseRepresentation
bin1011010001001100…
…10010111101000000
3120121121211120000000
411220212102331000
544342224234424
62440153000000
7302630523231
oct55046227500
916547746000
106049836864
112624a7aa85
12120a0b3000
137554c7b36
144156a3088
152561ce3c9
hex168992f40

6049836864 has 112 divisors (see below), whose sum is σ = 18005389440. Its totient is φ = 2016565632.

The previous prime is 6049836839. The next prime is 6049836887. The reversal of 6049836864 is 4686389406.

6049836864 is a `hidden beast` number, since 60 + 498 + 36 + 8 + 64 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 6049836864.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 118357 + ... + 161579.

Almost surely, 26049836864 is an apocalyptic number.

6049836864 is a gapful number since it is divisible by the number (64) 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 6049836864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9002694720).

6049836864 is an abundant number, since it is smaller than the sum of its proper divisors (11955552576).

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

6049836864 is an frugal number, since it uses more digits than its factorization.

6049836864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43256 (or 43228 counting only the distinct ones).

The product of its (nonzero) digits is 5971968, while the sum is 54.

The square root of 6049836864 is about 77780.6972455249. The cubic root of 6049836864 is about 1822.1378155452.

The spelling of 6049836864 in words is "six billion, forty-nine million, eight hundred thirty-six thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 144 162 192 216 243 288 324 432 486 576 648 729 864 972 1296 1458 1728 1944 2187 2592 2916 3888 4374 5184 5832 7776 8748 11664 15552 17496 23328 34992 43223 46656 69984 86446 129669 139968 172892 259338 345784 389007 518676 691568 778014 1037352 1167021 1383136 1556028 2074704 2334042 2766272 3112056 3501063 4149408 4668084 6224112 7002126 8298816 9336168 10503189 12448224 14004252 18672336 21006378 24896448 28008504 31509567 37344672 42012756 56017008 63019134 74689344 84025512 94528701 112034016 126038268 168051024 189057402 224068032 252076536 336102048 378114804 504153072 672204096 756229608 1008306144 1512459216 2016612288 3024918432 6049836864