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51603103944 = 23337131260527
BaseRepresentation
bin110000000011110010…
…001110000011001000
311221012022100021211000
4300003302032003020
51321140343311234
635412305335000
73504526101120
oct600362160310
9157168307730
1051603103944
111a980674847
12a001937460
134b34c21542
1426d75d1c80
1515204a8899
hexc03c8e0c8

51603103944 has 128 divisors (see below), whose sum is σ = 165070540800. Its totient is φ = 14631140160.

The previous prime is 51603103939. The next prime is 51603103949. The reversal of 51603103944 is 44930130615.

51603103944 is a `hidden beast` number, since 5 + 1 + 603 + 1 + 0 + 3 + 9 + 44 = 666.

It is an interprime number because it is at equal distance from previous prime (51603103939) and next prime (51603103949).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 51603103899 and 51603103908.

It is not an unprimeable number, because it can be changed into a prime (51603103949) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 67809 + ... + 328335.

It is an arithmetic number, because the mean of its divisors is an integer number (1289613600).

Almost surely, 251603103944 is an apocalyptic number.

51603103944 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51603103944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82535270400).

51603103944 is an abundant number, since it is smaller than the sum of its proper divisors (113467436856).

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

51603103944 is a wasteful number, since it uses less digits than its factorization.

51603103944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 260680 (or 260670 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The spelling of 51603103944 in words is "fifty-one billion, six hundred three million, one hundred three thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 84 108 126 131 168 189 216 252 262 378 393 504 524 756 786 917 1048 1179 1512 1572 1834 2358 2751 3144 3537 3668 4716 5502 7074 7336 8253 9432 11004 14148 16506 22008 24759 28296 33012 49518 66024 99036 198072 260527 521054 781581 1042108 1563162 1823689 2084216 2344743 3126324 3647378 4689486 5471067 6252648 7034229 7294756 9378972 10942134 14068458 14589512 16413201 18757944 21884268 28136916 32826402 34129037 43768536 49239603 56273832 65652804 68258074 98479206 102387111 131305608 136516148 196958412 204774222 238903259 273032296 307161333 393916824 409548444 477806518 614322666 716709777 819096888 921483999 955613036 1228645332 1433419554 1842967998 1911226072 2150129331 2457290664 2866839108 3685935996 4300258662 5733678216 6450387993 7371871992 8600517324 12900775986 17201034648 25801551972 51603103944