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47716506403552 = 2571713219485689
BaseRepresentation
bin10101101100101110111010…
…11010100000001011100000
320020221122122101002120022101
422312113131122200023200
522223241401114403202
6245252354352420144
713023255340205050
oct1266273532401340
9206848571076271
1047716506403552
1114227502997338
125427941547654
132081855000bcc
14bad6c3d29560
1557b338699887
hex2b65dd6a02e0

47716506403552 has 96 divisors (see below), whose sum is σ = 113763625536960. Its totient is φ = 19232422133760.

The previous prime is 47716506403403. The next prime is 47716506403567. The reversal of 47716506403552 is 25530460561774.

It is a happy number.

It is a super-4 number, since 4×477165064035524 (a number of 56 digits) contains 4444 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 47716506403493 and 47716506403502.

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, 287524 + ... + 9773212.

It is an arithmetic number, because the mean of its divisors is an integer number (1185037766010).

Almost surely, 247716506403552 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 47716506403552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56881812768480).

47716506403552 is an abundant number, since it is smaller than the sum of its proper divisors (66047119133408).

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

47716506403552 is a wasteful number, since it uses less digits than its factorization.

47716506403552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9487044 (or 9487036 counting only the distinct ones).

The product of its (nonzero) digits is 21168000, while the sum is 55.

The spelling of 47716506403552 in words is "forty-seven trillion, seven hundred sixteen billion, five hundred six million, four hundred three thousand, five hundred fifty-two".

Divisors: 1 2 4 7 8 14 16 17 28 32 34 56 68 112 119 136 224 238 272 476 544 952 1321 1904 2642 3808 5284 9247 10568 18494 21136 22457 36988 42272 44914 73976 89828 147952 157199 179656 295904 314398 359312 628796 718624 1257592 2515184 5030368 9485689 18971378 37942756 66399823 75885512 132799646 151771024 161256713 265599292 303542048 322513426 531198584 645026852 1062397168 1128796991 1290053704 2124794336 2257593982 2580107408 4515187964 5160214816 9030375928 12530595169 18060751856 25061190338 36121503712 50122380676 87714166183 100244761352 175428332366 200489522704 213020117873 350856664732 400979045408 426040235746 701713329464 852080471492 1403426658928 1491140825111 1704160942984 2806853317856 2982281650222 3408321885968 5964563300444 6816643771936 11929126600888 23858253201776 47716506403552