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53511135024 = 24323199373653
BaseRepresentation
bin110001110101100000…
…110001111100110000
312010010021122022101210
4301311200301330300
51334042322310044
640325505200120
73603025100004
oct616540617460
9163107568353
1053511135024
112076a705836
12a454930040
13507a307709
142838b8a704
1515d2c511b9
hexc75831f30

53511135024 has 160 divisors (see below), whose sum is σ = 145583539200. Its totient is φ = 16904346624.

The previous prime is 53511135017. The next prime is 53511135053. The reversal of 53511135024 is 42053111535.

It is a super-3 number, since 3×535111350243 (a number of 33 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 53511134982 and 53511135000.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 81946282 + ... + 81946934.

It is an arithmetic number, because the mean of its divisors is an integer number (909897120).

Almost surely, 253511135024 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 53511135024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72791769600).

53511135024 is an abundant number, since it is smaller than the sum of its proper divisors (92072404176).

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

53511135024 is a wasteful number, since it uses less digits than its factorization.

53511135024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1259 (or 1253 counting only the distinct ones).

The product of its (nonzero) digits is 9000, while the sum is 30.

Adding to 53511135024 its reverse (42053111535), we get a palindrome (95564246559).

The spelling of 53511135024 in words is "fifty-three billion, five hundred eleven million, one hundred thirty-five thousand, twenty-four".

Divisors: 1 2 3 4 6 8 12 16 23 24 46 48 69 92 138 184 199 276 368 373 398 552 597 653 746 796 1104 1119 1194 1306 1492 1592 1959 2238 2388 2612 2984 3184 3918 4476 4577 4776 5224 5968 7836 8579 8952 9154 9552 10448 13731 15019 15672 17158 17904 18308 25737 27462 30038 31344 34316 36616 45057 51474 54924 60076 68632 73232 74227 90114 102948 109848 120152 129947 137264 148454 180228 205896 219696 222681 240304 243569 259894 296908 360456 389841 411792 445362 487138 519788 593816 720912 730707 779682 890724 974276 1039576 1187632 1461414 1559364 1707221 1781448 1948552 2079152 2922828 2988781 3118728 3414442 3562896 3897104 5121663 5602087 5845656 5977562 6237456 6828884 8966343 10243326 11204174 11691312 11955124 13657768 16806261 17932686 20486652 22408348 23910248 27315536 33612522 35865372 40973304 44816696 47820496 48470231 67225044 71730744 81946608 89633392 96940462 134450088 143461488 145410693 193880924 268900176 290821386 387761848 581642772 775523696 1114815313 1163285544 2229630626 2326571088 3344445939 4459261252 6688891878 8918522504 13377783756 17837045008 26755567512 53511135024