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3056438016 = 2833442193
BaseRepresentation
bin1011011000101101…
…1000101100000000
321220000020010202000
42312023120230000
522224422004031
61223142024000
7135512203002
oct26613305400
97800203660
103056438016
111329309135
12713718000
133992b5108
1420dcd8372
1512d4e13e6
hexb62d8b00

3056438016 has 72 divisors (see below), whose sum is σ = 9038445360. Its totient is φ = 1018810368.

The previous prime is 3056438003. The next prime is 3056438017. The reversal of 3056438016 is 6108346503.

3056438016 is a `hidden beast` number, since 3 + 0 + 5 + 643 + 8 + 0 + 1 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is not an unprimeable number, because it can be changed into a prime (3056438017) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 214185 + ... + 228008.

Almost surely, 23056438016 is an apocalyptic number.

3056438016 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

3056438016 is an abundant number, since it is smaller than the sum of its proper divisors (5982007344).

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

3056438016 is an equidigital number, since it uses as much as digits as its factorization.

3056438016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 442218 (or 442198 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 3056438016 is about 55285.0614180721. The cubic root of 3056438016 is about 1451.2376299782.

The spelling of 3056438016 in words is "three billion, fifty-six million, four hundred thirty-eight thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 256 288 384 432 576 768 864 1152 1728 2304 3456 6912 442193 884386 1326579 1768772 2653158 3537544 3979737 5306316 7075088 7959474 10612632 11939211 14150176 15918948 21225264 23878422 28300352 31837896 42450528 47756844 56600704 63675792 84901056 95513688 113201408 127351584 169802112 191027376 254703168 339604224 382054752 509406336 764109504 1018812672 1528219008 3056438016