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5257008844752 = 243747593561367
BaseRepresentation
bin100110001111111111000…
…1001010000111111010000
3200121120020222121012001010
41030133332021100333100
51142112323231013002
615103011520010520
71051543402616460
oct114377611207720
920546228535033
105257008844752
111747537496595
1270aa15760a40
132c1970234b72
14142624d77ba0
1591b30a0046c
hex4c7fe250fd0

5257008844752 has 160 divisors (see below), whose sum is σ = 15877678620672. Its totient is φ = 1467563415552.

The previous prime is 5257008844723. The next prime is 5257008844753. The reversal of 5257008844752 is 2574488007525.

It is a super-2 number, since 2×52570088447522 (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 5257008844692 and 5257008844701.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5257008844753) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9083973 + ... + 9645339.

Almost surely, 25257008844752 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 5257008844752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7938839310336).

5257008844752 is an abundant number, since it is smaller than the sum of its proper divisors (10620669775920).

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

5257008844752 is a wasteful number, since it uses less digits than its factorization.

5257008844752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 562025 (or 562019 counting only the distinct ones).

The product of its (nonzero) digits is 25088000, while the sum is 57.

The spelling of 5257008844752 in words is "five trillion, two hundred fifty-seven billion, eight million, eight hundred forty-four thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 47 48 56 84 94 112 141 168 188 282 329 336 376 564 593 658 752 987 1128 1186 1316 1779 1974 2256 2372 2632 3558 3948 4151 4744 5264 7116 7896 8302 9488 12453 14232 15792 16604 24906 27871 28464 33208 49812 55742 66416 83613 99624 111484 167226 195097 199248 222968 334452 390194 445936 561367 585291 668904 780388 1122734 1170582 1337808 1560776 1684101 2245468 2341164 3121552 3368202 3929569 4490936 4682328 6736404 7859138 8981872 9364656 11788707 13472808 15718276 23577414 26384249 26945616 31436552 47154828 52768498 62873104 79152747 94309656 105536996 158305494 184689743 188619312 211073992 316610988 332890631 369379486 422147984 554069229 633221976 665781262 738758972 998671893 1108138458 1266443952 1331562524 1477517944 1997343786 2216276916 2330234417 2663125048 2955035888 3994687572 4432553832 4660468834 5326250096 6990703251 7989375144 8865107664 9320937668 13981406502 15645859657 15978750288 18641875336 27962813004 31291719314 37283750672 46937578971 55925626008 62583438628 93875157942 109521017599 111851252016 125166877256 187750315884 219042035198 250333754512 328563052797 375500631768 438084070396 657126105594 751001263536 876168140792 1314252211188 1752336281584 2628504422376 5257008844752