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13431123566652 = 223112171015387353
BaseRepresentation
bin1100001101110010110101…
…0110010110000000111100
31202120000002002112220100010
43003130231112112000330
53230023420113113102
644322101210503220
72554236522426651
oct303345526260074
952500062486303
1013431123566652
114309120117400
12160b060134b10
1376571b3a118c
143460d9947c28
15184593647d6c
hexc372d59603c

13431123566652 has 144 divisors (see below), whose sum is σ = 36834761559456. Its totient is φ = 3792695808000.

The previous prime is 13431123566639. The next prime is 13431123566683. The reversal of 13431123566652 is 25666532113431.

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, 200593 + ... + 5186760.

It is an arithmetic number, because the mean of its divisors is an integer number (255796955274).

Almost surely, 213431123566652 is an apocalyptic number.

13431123566652 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13431123566652, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18417380779728).

13431123566652 is an abundant number, since it is smaller than the sum of its proper divisors (23403637992804).

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

13431123566652 is a wasteful number, since it uses less digits than its factorization.

13431123566652 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5387500 (or 5387487 counting only the distinct ones).

The product of its digits is 2332800, while the sum is 48.

The spelling of 13431123566652 in words is "thirteen trillion, four hundred thirty-one billion, one hundred twenty-three million, five hundred sixty-six thousand, six hundred fifty-two".

Divisors: 1 2 3 4 6 11 12 17 22 33 34 44 51 66 68 101 102 121 132 187 202 204 242 303 363 374 404 484 561 606 726 748 1111 1122 1212 1452 1717 2057 2222 2244 3333 3434 4114 4444 5151 6171 6666 6868 8228 10302 12221 12342 13332 18887 20604 24442 24684 36663 37774 48884 56661 73326 75548 113322 146652 207757 226644 415514 623271 831028 1246542 2493084 5387353 10774706 16162059 21549412 32324118 59260883 64648236 91585001 118521766 177782649 183170002 237043532 274755003 355565298 366340004 544122653 549510006 651869713 711130596 1007435011 1088245306 1099020012 1303739426 1632367959 1955609139 2014870022 2176490612 2607478852 3022305033 3264735918 3911218278 4029740044 5985349183 6044610066 6529471836 7822436556 9250085101 11081785121 11970698366 12089220132 17956047549 18500170202 22163570242 23941396732 27750255303 33245355363 35912095098 37000340404 44327140484 55500510606 65838841013 66490710726 71824190196 101750936111 111001021212 131677682026 132981421452 197516523039 203501872222 263355364052 305252808333 395033046078 407003744444 610505616666 790066092156 1119260297221 1221011233332 2238520594442 3357780891663 4477041188884 6715561783326 13431123566652