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47103277312 = 287137572671
BaseRepresentation
bin101011110111100100…
…101111100100000000
311111120201010102010101
4223313210233210000
51232431414333222
633350002412144
73255156152050
oct536744574400
9144521112111
1047103277312
1118a81632463
129166961054
1345988a8930
1423cbb2d560
15135a401927
hexaf792f900

47103277312 has 144 divisors (see below), whose sum is σ = 115916319232. Its totient is φ = 18602680320.

The previous prime is 47103277307. The next prime is 47103277339. The reversal of 47103277312 is 21377230174.

47103277312 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×471032773123 (a number of 33 digits) contains 333 as substring.

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, 17633737 + ... + 17636407.

Almost surely, 247103277312 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 47103277312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57958159616).

47103277312 is an abundant number, since it is smaller than the sum of its proper divisors (68813041920).

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

47103277312 is a wasteful number, since it uses less digits than its factorization.

47103277312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3464 (or 3450 counting only the distinct ones).

The product of its (nonzero) digits is 49392, while the sum is 37.

It can be divided in two parts, 47103 and 277312, that added together give a triangular number (324415 = T805).

The spelling of 47103277312 in words is "forty-seven billion, one hundred three million, two hundred seventy-seven thousand, three hundred twelve".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 52 56 64 91 104 112 128 182 208 224 256 364 416 448 728 757 832 896 1456 1514 1664 1792 2671 2912 3028 3328 5299 5342 5824 6056 9841 10598 10684 11648 12112 18697 19682 21196 21368 23296 24224 34723 37394 39364 42392 42736 48448 68887 69446 74788 78728 84784 85472 96896 137774 138892 149576 157456 169568 170944 193792 243061 275548 277784 299152 314912 339136 341888 486122 551096 555568 598304 629824 678272 683776 972244 1102192 1111136 1196608 1259648 1356544 1944488 2021947 2204384 2222272 2393216 2519296 3888976 4043894 4408768 4444544 4786432 7777952 8087788 8817536 8889088 14153629 15555904 16175576 17635072 26285311 28307258 31111808 32351152 52570622 56614516 62223616 64702304 105141244 113229032 129404608 183997177 210282488 226458064 258809216 367994354 420564976 452916128 517618432 735988708 841129952 905832256 1471977416 1682259904 1811664512 2943954832 3364519808 3623329024 5887909664 6729039616 11775819328 23551638656 47103277312