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52142041502628 = 22372119118849111
BaseRepresentation
bin10111101101100010000111…
…10111001001001110100100
320211121201201112011001222120
423312301003313021032210
523313243400111041003
6302521420112425540
713661065252654200
oct1366610367111644
9224551645131876
1052142041502628
11156833520a7170
125a215882482b0
132312c8679514c
14cc398c8a5b00
15606502bbd853
hex2f6c43dc93a4

52142041502628 has 144 divisors (see below), whose sum is σ = 154564112037888. Its totient is φ = 13528519368000.

The previous prime is 52142041502627. The next prime is 52142041502653. The reversal of 52142041502628 is 82620514024125.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 52142041502628.

It is not an unprimeable number, because it can be changed into a prime (52142041502627) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1467793 + ... + 10316903.

It is an arithmetic number, because the mean of its divisors is an integer number (1073361889152).

Almost surely, 252142041502628 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 52142041502628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77282056018944).

52142041502628 is an abundant number, since it is smaller than the sum of its proper divisors (102422070535260).

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

52142041502628 is a wasteful number, since it uses less digits than its factorization.

52142041502628 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8850054 (or 8850045 counting only the distinct ones).

The product of its (nonzero) digits is 307200, while the sum is 42.

The spelling of 52142041502628 in words is "fifty-two trillion, one hundred forty-two billion, forty-one million, five hundred two thousand, six hundred twenty-eight".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 33 42 44 49 66 77 84 98 132 147 154 196 231 294 308 462 539 588 911 924 1078 1617 1822 2156 2733 3234 3644 5466 6377 6468 10021 10932 12754 19131 20042 25508 30063 38262 40084 44639 60126 70147 76524 89278 120252 133917 140294 178556 210441 267834 280588 420882 491029 535668 841764 982058 1473087 1964116 2946174 5892348 8849111 17698222 26547333 35396444 53094666 61943777 97340221 106189332 123887554 185831331 194680442 247775108 292020663 371662662 389360884 433606439 584041326 681381547 743325324 867212878 1168082652 1300819317 1362763094 1734425756 2044144641 2601638634 2725526188 4088289282 4769670829 5203277268 8061540121 8176578564 9539341658 14309012487 16123080242 19078683316 24184620363 28618024974 32246160484 48369240726 56430780847 57236049948 88676941331 96738481452 112861561694 169292342541 177353882662 225723123388 266030823993 338584685082 354707765324 395015465929 532061647986 620738589317 677169370164 790030931858 1064123295972 1185046397787 1241477178634 1580061863716 1862215767951 2370092795574 2482954357268 3724431535902 4345170125219 4740185591148 7448863071804 8690340250438 13035510375657 17380680500876 26071020751314 52142041502628