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10005532342314 = 2323975437137477
BaseRepresentation
bin1001000110011001100000…
…1100110111100000101010
31022102112000202022100202120
42101212120030313200222
52302412312234423224
633140251134212110
72051606263441215
oct221463014674052
938375022270676
1010005532342314
113208360188753
121157180654036
13577696384362
142683adba477c
151254009a0779
hex9199833782a

10005532342314 has 64 divisors (see below), whose sum is σ = 21100413793536. Its totient is φ = 3156677720064.

The previous prime is 10005532342301. The next prime is 10005532342361. The reversal of 10005532342314 is 41324323550001.

It is a super-2 number, since 2×100055323423142 (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 72710944 + ... + 72848420.

It is an arithmetic number, because the mean of its divisors is an integer number (329693965524).

Almost surely, 210005532342314 is an apocalyptic number.

10005532342314 is an abundant number, since it is smaller than the sum of its proper divisors (11094881451222).

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

10005532342314 is a wasteful number, since it uses less digits than its factorization.

10005532342314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143039.

The product of its (nonzero) digits is 43200, while the sum is 33.

Adding to 10005532342314 its reverse (41324323550001), we get a palindrome (51329855892315).

The spelling of 10005532342314 in words is "ten trillion, five billion, five hundred thirty-two million, three hundred forty-two thousand, three hundred fourteen".

Divisors: 1 2 3 6 23 46 69 97 138 194 291 582 2231 4462 5437 6693 10874 13386 16311 32622 125051 137477 250102 274954 375153 412431 527389 750306 824862 1054778 1582167 3161971 3164334 6323942 9485913 12129947 13335269 18971826 24259894 26670538 36389841 40005807 72779682 80011614 306711187 613422374 747462449 920133561 1494924898 1840267122 2242387347 4484774694 17191636327 34383272654 51574908981 72503857553 103149817962 145007715106 217511572659 435023145318 1667588723719 3335177447438 5002766171157 10005532342314