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6972003072 = 2834336227
BaseRepresentation
bin1100111111001000…
…00101001100000000
3122222220001110020000
412133210011030000
5103234313044242
63111454120000
7334526022366
oct63744051400
918886043200
106972003072
112a58572111
121426ab0000
13871582908
144a1d4d636
152ac138a4c
hex19f905300

6972003072 has 90 divisors (see below), whose sum is σ = 20789313468. Its totient is φ = 2323994112.

The previous prime is 6972003047. The next prime is 6972003121. The reversal of 6972003072 is 2703002796.

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

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 9 ways as a sum of consecutive naturals, for example, 147378 + ... + 188849.

Almost surely, 26972003072 is an apocalyptic number.

It is an amenable number.

6972003072 is an abundant number, since it is smaller than the sum of its proper divisors (13817310396).

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

6972003072 is an equidigital number, since it uses as much as digits as its factorization.

6972003072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 336255 (or 336232 counting only the distinct ones).

The product of its (nonzero) digits is 31752, while the sum is 36.

The square root of 6972003072 is about 83498.5213761298. The cubic root of 6972003072 is about 1910.3774801012.

The spelling of 6972003072 in words is "six billion, nine hundred seventy-two million, three thousand, seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 256 288 324 384 432 576 648 768 864 1152 1296 1728 2304 2592 3456 5184 6912 10368 20736 336227 672454 1008681 1344908 2017362 2689816 3026043 4034724 5379632 6052086 8069448 9078129 10759264 12104172 16138896 18156258 21518528 24208344 27234387 32277792 36312516 43037056 48416688 54468774 64555584 72625032 86074112 96833376 108937548 129111168 145250064 193666752 217875096 258222336 290500128 387333504 435750192 581000256 774667008 871500384 1162000512 1743000768 2324001024 3486001536 6972003072