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51558659328 = 2831115738873
BaseRepresentation
bin110000000001001000…
…101011010100000000
311221002012201021021010
4300001020223110000
51321043004044303
635404041000520
73503446242021
oct600110532400
9157065637233
1051558659328
111a958578960
129baaa83140
134b2895c957
1426d1742c48
15151b629c03
hexc0122b500

51558659328 has 144 divisors (see below), whose sum is σ = 150653232576. Its totient is φ = 15523921920.

The previous prime is 51558659309. The next prime is 51558659363. The reversal of 51558659328 is 82395685515.

It is a super-2 number, since 2×515586593282 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1306900 + ... + 1345772.

It is an arithmetic number, because the mean of its divisors is an integer number (1046203004).

Almost surely, 251558659328 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 51558659328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75326616288).

51558659328 is an abundant number, since it is smaller than the sum of its proper divisors (99094573248).

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

51558659328 is a wasteful number, since it uses less digits than its factorization.

51558659328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39060 (or 39046 counting only the distinct ones).

The product of its digits is 12960000, while the sum is 57.

The spelling of 51558659328 in words is "fifty-one billion, five hundred fifty-eight million, six hundred fifty-nine thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 128 132 157 176 192 256 264 314 352 384 471 528 628 704 768 942 1056 1256 1408 1727 1884 2112 2512 2816 3454 3768 4224 5024 5181 6908 7536 8448 10048 10362 13816 15072 20096 20724 27632 30144 38873 40192 41448 55264 60288 77746 82896 110528 116619 120576 155492 165792 221056 233238 310984 331584 427603 442112 466476 621968 663168 855206 932952 1243936 1282809 1326336 1710412 1865904 2487872 2565618 3420824 3731808 4975744 5131236 6103061 6841648 7463616 9951488 10262472 12206122 13683296 14927232 18309183 20524944 24412244 27366592 29854464 36618366 41049888 48824488 54733184 67133671 73236732 82099776 97648976 109466368 134267342 146473464 164199552 195297952 201401013 268534684 292946928 328399104 390595904 402802026 537069368 585893856 781191808 805604052 1074138736 1171787712 1562383616 1611208104 2148277472 2343575424 3222416208 4296554944 4687150848 6444832416 8593109888 12889664832 17186219776 25779329664 51558659328