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3355145046 = 23211411732389
BaseRepresentation
bin1100011111111011…
…0111001101010110
322122211022000202100
43013332313031112
523332404120141
61312532222530
7146100155661
oct30776671526
98584260670
103355145046
11147198a150
1279776aa46
1341614c536
1423b8526d8
151498470b6
hexc7fb7356

3355145046 has 96 divisors (see below), whose sum is σ = 8174144160. Its totient is φ = 985766400.

The previous prime is 3355144999. The next prime is 3355145069. The reversal of 3355145046 is 6405415533.

It is a super-2 number, since 2×33551450462 = 22513996559396684232, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 3355145046.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1403220 + ... + 1405608.

It is an arithmetic number, because the mean of its divisors is an integer number (85147335).

Almost surely, 23355145046 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3355145046, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4087072080).

3355145046 is an abundant number, since it is smaller than the sum of its proper divisors (4818999114).

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

3355145046 is a wasteful number, since it uses less digits than its factorization.

3355145046 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2622 (or 2619 counting only the distinct ones).

The product of its (nonzero) digits is 108000, while the sum is 36.

The square root of 3355145046 is about 57923.6138893284. The cubic root of 3355145046 is about 1497.0527382248.

The spelling of 3355145046 in words is "three billion, three hundred fifty-five million, one hundred forty-five thousand, forty-six".

Divisors: 1 2 3 6 9 11 18 22 33 41 66 82 99 123 173 198 246 346 369 451 519 738 902 1038 1353 1557 1903 2389 2706 3114 3806 4059 4778 5709 7093 7167 8118 11418 14186 14334 17127 21279 21501 26279 34254 42558 43002 52558 63837 78023 78837 97949 127674 156046 157674 195898 234069 236511 293847 413297 468138 473022 587694 702207 826594 881541 1077439 1239891 1404414 1763082 2154878 2479782 3232317 3719673 4546267 6464634 7439346 9092534 9696951 13638801 16945177 19393902 27277602 33890354 40916403 50835531 81832806 101671062 152506593 186396947 305013186 372793894 559190841 1118381682 1677572523 3355145046