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51126906915 = 3357376123971
BaseRepresentation
bin101111100111011001…
…101011000000100011
311212222010021222022000
4233213121223000203
51314201442010130
635253135015043
73456654352440
oct574731530043
9155863258260
1051126906915
111a756895987
129aaa36a483
134a8a381856
1426902749c7
1514e3793260
hexbe766b023

51126906915 has 128 divisors (see below), whose sum is σ = 108437821440. Its totient is φ = 22366886400.

The previous prime is 51126906907. The next prime is 51126906967. The reversal of 51126906915 is 51960962115.

It is a happy number.

51126906915 is a `hidden beast` number, since 511 + 2 + 69 + 0 + 69 + 15 = 666.

It is not a de Polignac number, because 51126906915 - 23 = 51126906907 is a prime.

It is a super-2 number, since 2×511269069152 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 127 ways as a sum of consecutive naturals, for example, 2120880 + ... + 2144850.

It is an arithmetic number, because the mean of its divisors is an integer number (847170480).

Almost surely, 251126906915 is an apocalyptic number.

51126906915 is an abundant number, since it is smaller than the sum of its proper divisors (57310914525).

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

51126906915 is a wasteful number, since it uses less digits than its factorization.

51126906915 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24090 (or 24084 counting only the distinct ones).

The product of its (nonzero) digits is 145800, while the sum is 45.

The spelling of 51126906915 in words is "fifty-one billion, one hundred twenty-six million, nine hundred six thousand, nine hundred fifteen".

Divisors: 1 3 5 7 9 15 21 27 35 37 45 61 63 105 111 135 183 185 189 259 305 315 333 427 549 555 777 915 945 999 1281 1295 1647 1665 2135 2257 2331 2745 3843 3885 4995 6405 6771 6993 8235 11285 11529 11655 15799 19215 20313 23971 33855 34965 47397 57645 60939 71913 78995 101565 119855 142191 167797 215739 236985 304695 359565 426573 503391 647217 710955 838985 886927 1078695 1462231 1510173 2132865 2516955 2660781 3236085 4386693 4434635 4530519 6208489 7311155 7550865 7982343 10235617 13160079 13303905 18625467 21933465 22652595 23947029 30706851 31042445 39480237 39911715 51178085 54102547 55876401 65800395 92120553 93127335 119735145 153534255 162307641 167629203 197401185 270512735 276361659 279382005 378717829 460602765 486922923 811538205 838146015 1136153487 1381808295 1460768769 1893589145 2434614615 3408460461 5680767435 7303843845 10225381383 17042302305 51126906915