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20235174375 = 3541317471039
BaseRepresentation
bin10010110110000111…
…000100000111100111
31221020020001100211210
4102312013010013213
5312420201040000
613143530002503
71314306100323
oct226607040747
957206040753
1020235174375
118644257009
123b08876433
131ba6329180
14d9d622983
157d6722350
hex4b61c41e7

20235174375 has 160 divisors (see below), whose sum is σ = 39299420160. Its totient is φ = 9167616000.

The previous prime is 20235174373. The next prime is 20235174383. The reversal of 20235174375 is 57347153202.

It is not a de Polignac number, because 20235174375 - 21 = 20235174373 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20235174371) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 19475106 + ... + 19476144.

It is an arithmetic number, because the mean of its divisors is an integer number (245621376).

Almost surely, 220235174375 is an apocalyptic number.

20235174375 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

20235174375 is a deficient number, since it is larger than the sum of its proper divisors (19064245785).

20235174375 is a wasteful number, since it uses less digits than its factorization.

20235174375 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1139 (or 1124 counting only the distinct ones).

The product of its (nonzero) digits is 176400, while the sum is 39.

The spelling of 20235174375 in words is "twenty billion, two hundred thirty-five million, one hundred seventy-four thousand, three hundred seventy-five".

Divisors: 1 3 5 13 15 17 25 39 47 51 65 75 85 125 141 195 221 235 255 325 375 425 611 625 663 705 799 975 1039 1105 1175 1275 1625 1833 1875 2125 2397 3055 3117 3315 3525 3995 4875 5195 5525 5875 6375 8125 9165 10387 10625 11985 13507 15275 15585 16575 17625 17663 19975 24375 25975 27625 29375 31161 31875 40521 45825 48833 51935 52989 59925 67535 76375 77925 82875 88125 88315 99875 129875 138125 146499 155805 202605 229125 229619 244165 259675 264945 299625 337675 381875 389625 414375 441575 499375 634829 649375 688857 732495 779025 830161 1013025 1145625 1148095 1220825 1298375 1324725 1498125 1688375 1904487 1948125 2207875 2490483 3174145 3444285 3662475 3895125 4150805 5065125 5740475 6104125 6491875 6623625 8441875 9522435 10792093 11039375 12452415 15870725 17221425 18312375 19475625 20754025 25325625 28702375 30520625 32376279 33118125 47612175 53960465 62262075 79353625 86107125 91561875 103770125 143511875 161881395 238060875 269802325 311310375 396768125 430535625 518850625 809406975 1190304375 1349011625 1556551875 4047034875 6745058125 20235174375