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51006680388 = 223217235368371
BaseRepresentation
bin101111100000001111…
…000010110101000100
311212122202001211111200
4233200033002311010
51313430202233023
635233202102500
73453664425666
oct574017026504
9155582054450
1051006680388
111a6a4a39a14
129a7604aa30
134a6b4a87b1
14267c2da536
1514d7e45743
hexbe03c2d44

51006680388 has 144 divisors (see below), whose sum is σ = 145143363456. Its totient is φ = 15017333760.

The previous prime is 51006680381. The next prime is 51006680519. The reversal of 51006680388 is 88308660015.

It is not an unprimeable number, because it can be changed into a prime (51006680381) 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, 711843 + ... + 780213.

It is an arithmetic number, because the mean of its divisors is an integer number (1007940024).

Almost surely, 251006680388 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 51006680388, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72571681728).

51006680388 is an abundant number, since it is smaller than the sum of its proper divisors (94136683068).

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

51006680388 is a wasteful number, since it uses less digits than its factorization.

51006680388 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68474 (or 68469 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The spelling of 51006680388 in words is "fifty-one billion, six million, six hundred eighty thousand, three hundred eighty-eight".

Divisors: 1 2 3 4 6 9 12 17 18 23 34 36 46 51 53 68 69 92 102 106 138 153 159 204 207 212 276 306 318 391 414 477 612 636 782 828 901 954 1173 1219 1564 1802 1908 2346 2438 2703 3519 3604 3657 4692 4876 5406 7038 7314 8109 10812 10971 14076 14628 16218 20723 21942 32436 41446 43884 62169 68371 82892 124338 136742 186507 205113 248676 273484 373014 410226 615339 746028 820452 1162307 1230678 1572533 2324614 2461356 3145066 3486921 3623663 4649228 4717599 6290132 6973842 7247326 9435198 10460763 10870989 13947684 14152797 14494652 18870396 20921526 21741978 26733061 28305594 32612967 41843052 43483956 53466122 56611188 61602271 65225934 80199183 83344249 106932244 123204542 130451868 160398366 166688498 184806813 240597549 246409084 250032747 320796732 333376996 369613626 481195098 500065494 554420439 739227252 750098241 962390196 1000130988 1108840878 1416852233 1500196482 2217681756 2833704466 3000392964 4250556699 5667408932 8501113398 12751670097 17002226796 25503340194 51006680388