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493958190132 = 2232112128987973
BaseRepresentation
bin1110011000000100011…
…00111101010000110100
31202012222210110222012200
413030002030331100310
531043111244041012
61014530554144500
750454513224331
oct7140214752064
91665883428180
10493958190132
11180539580300
127b895722130
1337770503754
1419c9ca4d988
15ccb04dc3dc
hex730233d434

493958190132 has 108 divisors (see below), whose sum is σ = 1373526625380. Its totient is φ = 149566475520.

The previous prime is 493958190119. The next prime is 493958190133. The reversal of 493958190132 is 231091859394.

493958190132 is a `hidden beast` number, since 49 + 3 + 9 + 581 + 9 + 0 + 13 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 208231592976 + 285726597156 = 456324^2 + 534534^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (493958190133) 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 35 ways as a sum of consecutive naturals, for example, 5570898 + ... + 5658870.

Almost surely, 2493958190132 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 493958190132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (686763312690).

493958190132 is an abundant number, since it is smaller than the sum of its proper divisors (879568435248).

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

493958190132 is a wasteful number, since it uses less digits than its factorization.

493958190132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89294 (or 89278 counting only the distinct ones).

The product of its (nonzero) digits is 2099520, while the sum is 54.

The spelling of 493958190132 in words is "four hundred ninety-three billion, nine hundred fifty-eight million, one hundred ninety thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 121 132 198 242 363 396 484 726 1089 1289 1452 2178 2578 3867 4356 5156 7734 11601 14179 15468 23202 28358 42537 46404 56716 85074 87973 127611 155969 170148 175946 255222 263919 311938 351892 467907 510444 527838 623876 791757 935814 967703 1055676 1403721 1583514 1871628 1935406 2807442 2903109 3167028 3870812 5614884 5806218 8709327 10644733 11612436 17418654 21289466 31934199 34837308 42578932 63868398 95802597 113397197 127736796 191605194 226794394 340191591 383210388 453588788 680383182 1020574773 1247369167 1360766364 2041149546 2494738334 3742107501 4082299092 4989476668 7484215002 11226322503 13721060837 14968430004 22452645006 27442121674 41163182511 44905290012 54884243348 82326365022 123489547533 164652730044 246979095066 493958190132