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53488888434 = 23317314343711
BaseRepresentation
bin110001110100001011…
…111010101001110010
312010001201210001211000
4301310023322221302
51334021123412214
640323352302430
73602335023102
oct616413725162
9163051701730
1053488888434
11207590a0623
12a4493a1a16
135075818857
142835c39202
1515d0d09809
hexc742faa72

53488888434 has 128 divisors (see below), whose sum is σ = 132940431360. Its totient is φ = 15861484800.

The previous prime is 53488888381. The next prime is 53488888463. The reversal of 53488888434 is 43488888435.

53488888434 is a `hidden beast` number, since 5 + 3 + 48 + 88 + 88 + 434 = 666.

It is a super-2 number, since 2×534888884342 (a number of 22 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 63 ways as a sum of consecutive naturals, for example, 1201839 + ... + 1245549.

It is an arithmetic number, because the mean of its divisors is an integer number (1038597120).

Almost surely, 253488888434 is an apocalyptic number.

53488888434 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 53488888434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66470215680).

53488888434 is an abundant number, since it is smaller than the sum of its proper divisors (79451542926).

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

53488888434 is a wasteful number, since it uses less digits than its factorization.

53488888434 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43813 (or 43807 counting only the distinct ones).

The product of its digits is 94371840, while the sum is 63.

Subtracting from 53488888434 its reverse (43488888435), we obtain a palindrome (9999999999).

The spelling of 53488888434 in words is "fifty-three billion, four hundred eighty-eight million, eight hundred eighty-eight thousand, four hundred thirty-four".

Divisors: 1 2 3 6 9 17 18 27 31 34 43 51 54 62 86 93 102 129 153 186 258 279 306 387 459 527 558 731 774 837 918 1054 1161 1333 1462 1581 1674 2193 2322 2666 3162 3999 4386 4743 6579 7998 9486 11997 13158 14229 19737 22661 23994 28458 35991 39474 43711 45322 67983 71982 87422 131133 135966 203949 262266 393399 407898 611847 743087 786798 1180197 1223694 1355041 1486174 1879573 2229261 2360394 2710082 3759146 4065123 4458522 5638719 6687783 8130246 11277438 12195369 13375566 16916157 20063349 23035697 24390738 31952741 33832314 36586107 40126698 46071394 50748471 58266763 63905482 69107091 73172214 95858223 101496942 116533526 138214182 174800289 191716446 207321273 287574669 349600578 414642546 524400867 575149338 621963819 862724007 990534971 1048801734 1243927638 1573202601 1725448014 1981069942 2971604913 3146405202 5943209826 8914814739 17829629478 26744444217 53488888434