Search a number
-
+
47660129328 = 24372311354577
BaseRepresentation
bin101100011000110000…
…111101110000110000
311120000111221102111010
4230120300331300300
51240101443114303
633521133550520
73305030262240
oct543060756060
9146014842433
1047660129328
111923799a639
1292a1345440
134657077b76
142441a83b20
15138e249c03
hexb18c3dc30

47660129328 has 160 divisors (see below), whose sum is σ = 148130804736. Its totient is φ = 12909625344.

The previous prime is 47660129327. The next prime is 47660129389. The reversal of 47660129328 is 82392106674.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (47660129327) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 845976 + ... + 900552.

Almost surely, 247660129328 is an apocalyptic number.

47660129328 is a gapful number since it is divisible by the number (48) 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 47660129328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74065402368).

47660129328 is an abundant number, since it is smaller than the sum of its proper divisors (100470675408).

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

47660129328 is a wasteful number, since it uses less digits than its factorization.

47660129328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54731 (or 54725 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 48.

The spelling of 47660129328 in words is "forty-seven billion, six hundred sixty million, one hundred twenty-nine thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 23 24 28 42 46 48 56 69 84 92 112 113 138 161 168 184 226 276 322 336 339 368 452 483 552 644 678 791 904 966 1104 1288 1356 1582 1808 1932 2373 2576 2599 2712 3164 3864 4746 5198 5424 6328 7728 7797 9492 10396 12656 15594 18193 18984 20792 31188 36386 37968 41584 54577 54579 62376 72772 109154 109158 124752 145544 163731 218308 218316 291088 327462 382039 436616 436632 654924 764078 873232 873264 1146117 1255271 1309848 1528156 2292234 2510542 2619696 3056312 3765813 4584468 5021084 6112624 6167201 7531626 8786897 9168936 10042168 12334402 15063252 17573794 18337872 18501603 20084336 24668804 26360691 30126504 35147588 37003206 43170407 49337608 52721382 60253008 70295176 74006412 86340814 98675216 105442764 129511221 140590352 141845623 148012824 172681628 210885528 259022442 283691246 296025648 345363256 421771056 425536869 518044884 567382492 690726512 851073738 992919361 1036089768 1134764984 1702147476 1985838722 2072179536 2269529968 2978758083 3404294952 3971677444 5957516166 6808589904 7943354888 11915032332 15886709776 23830064664 47660129328