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3355165072 = 247137449487
BaseRepresentation
bin1100011111111011…
…1100000110010000
322122211100001020001
43013332330012100
523332410240242
61312532455344
7146100301240
oct30776740620
98584301201
103355165072
1114719a31a6
1279777a554
1341615869c
1423b859b20
1514984ceb7
hexc7fbc190

3355165072 has 80 divisors (see below), whose sum is σ = 7515590400. Its totient is φ = 1421328384.

The previous prime is 3355165049. The next prime is 3355165087. The reversal of 3355165072 is 2705615533.

It is a super-2 number, since 2×33551650722 = 22514265320737530368, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6889213 + ... + 6889699.

It is an arithmetic number, because the mean of its divisors is an integer number (93944880).

Almost surely, 23355165072 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 3355165072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3757795200).

3355165072 is an abundant number, since it is smaller than the sum of its proper divisors (4160425328).

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

3355165072 is a wasteful number, since it uses less digits than its factorization.

3355165072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1088 (or 1082 counting only the distinct ones).

The product of its (nonzero) digits is 94500, while the sum is 37.

The square root of 3355165072 is about 57923.7867546658. The cubic root of 3355165072 is about 1497.0557167267.

The spelling of 3355165072 in words is "three billion, three hundred fifty-five million, one hundred sixty-five thousand, seventy-two".

Divisors: 1 2 4 7 8 14 16 28 56 112 137 274 449 487 548 898 959 974 1096 1796 1918 1948 2192 3143 3409 3592 3836 3896 6286 6818 7184 7672 7792 12572 13636 15344 25144 27272 50288 54544 61513 66719 123026 133438 218663 246052 266876 430591 437326 467033 492104 533752 861182 874652 934066 984208 1067504 1530641 1722364 1749304 1868132 3061282 3444728 3498608 3736264 6122564 6889456 7472528 12245128 24490256 29956831 59913662 119827324 209697817 239654648 419395634 479309296 838791268 1677582536 3355165072