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348063056672 = 2529396794547
BaseRepresentation
bin1010001000010100010…
…11001100001100100000
31020021102010001021122012
411010022023030030200
521200313120303142
6423521543132052
734101220111112
oct5041213141440
91207363037565
10348063056672
11124681581141
1257559744028
1326a8c501606
1412bbc50d3b2
1590c1e99882
hex510a2cc320

348063056672 has 48 divisors (see below), whose sum is σ = 709064616960. Its totient is φ = 167986307328.

The previous prime is 348063056639. The next prime is 348063056699. The reversal of 348063056672 is 276650360843.

It is a super-2 number, since 2×3480630566722 (a number of 24 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 348063056672.

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 7 ways as a sum of consecutive naturals, for example, 3634103 + ... + 3728649.

It is an arithmetic number, because the mean of its divisors is an integer number (14772179520).

Almost surely, 2348063056672 is an apocalyptic number.

348063056672 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

348063056672 is an abundant number, since it is smaller than the sum of its proper divisors (361001560288).

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

348063056672 is a wasteful number, since it uses less digits than its factorization.

348063056672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98553 (or 98545 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 50.

The spelling of 348063056672 in words is "three hundred forty-eight billion, sixty-three million, fifty-six thousand, six hundred seventy-two".

Divisors: 1 2 4 8 16 29 32 58 116 232 464 928 3967 7934 15868 31736 63472 94547 115043 126944 189094 230086 378188 460172 756376 920344 1512752 1840688 2741863 3025504 3681376 5483726 10967452 21934904 43869808 87739616 375067949 750135898 1500271796 3000543592 6001087184 10876970521 12002174368 21753941042 43507882084 87015764168 174031528336 348063056672