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348820421427516 = 223745714657265957
BaseRepresentation
bin100111101010000000001010…
…1010011110100000100111100
31200202001220110220220202010210
41033110000111103310010330
5331210033210341140031
63233513520035032420
7133321305135606543
oct11724002523640474
91622056426822123
10348820421427516
11a1165a01191245
123315789943b710
1311c8381731c3cc
14621cdd9b7d15a
152a4d946546746
hex13d40154f413c

348820421427516 has 48 divisors (see below), whose sum is σ = 814082063499936. Its totient is φ = 116249512280064.

The previous prime is 348820421427503. The next prime is 348820421427559. The reversal of 348820421427516 is 615724124028843.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1311434010 + ... + 1311699966.

It is an arithmetic number, because the mean of its divisors is an integer number (16960042989582).

Almost surely, 2348820421427516 is an apocalyptic number.

It is an amenable number.

348820421427516 is an abundant number, since it is smaller than the sum of its proper divisors (465261642072420).

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

348820421427516 is a wasteful number, since it uses less digits than its factorization.

348820421427516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 288078 (or 288076 counting only the distinct ones).

The product of its (nonzero) digits is 20643840, while the sum is 57.

The spelling of 348820421427516 in words is "three hundred forty-eight trillion, eight hundred twenty billion, four hundred twenty-one million, four hundred twenty-seven thousand, five hundred sixteen".

Divisors: 1 2 3 4 6 12 7457 14657 14914 22371 29314 29828 43971 44742 58628 87942 89484 175884 265957 531914 797871 1063828 1595742 3191484 109297249 218594498 327891747 437188996 655783494 1311566988 1983241349 3898131749 3966482698 5949724047 7796263498 7932965396 11694395247 11899448094 15592526996 23388790494 23798896188 46777580988 29068368452293 58136736904586 87205105356879 116273473809172 174410210713758 348820421427516