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47005671383120 = 24527715531365869
BaseRepresentation
bin10101011000000010111000…
…10110000110000001010000
320011102200212001121002202102
422230001130112012001100
522130120103333224440
6243550035103135532
712621022233214502
oct1254013426060120
9204380761532672
1047005671383120
1113a82aa20734aa
1253320202a45a8
13202c800b81798
14b8712da1bd72
15567ad3290b15
hex2ac05c586050

47005671383120 has 80 divisors (see below), whose sum is σ = 109753434861840. Its totient is φ = 18722313265152.

The previous prime is 47005671383119. The next prime is 47005671383129. The reversal of 47005671383120 is 2138317650074.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 1756801797136 + 45248869585984 = 1325444^2 + 6726728^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47005671383129) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33731546 + ... + 35097414.

It is an arithmetic number, because the mean of its divisors is an integer number (1371917935773).

Almost surely, 247005671383120 is an apocalyptic number.

47005671383120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

47005671383120 is an abundant number, since it is smaller than the sum of its proper divisors (62747763478720).

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

47005671383120 is a wasteful number, since it uses less digits than its factorization.

47005671383120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1367712 (or 1367706 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 47.

The spelling of 47005671383120 in words is "forty-seven trillion, five billion, six hundred seventy-one million, three hundred eighty-three thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 277 554 1108 1385 1553 2216 2770 3106 4432 5540 6212 7765 11080 12424 15530 22160 24848 31060 62120 124240 430181 860362 1365869 1720724 2150905 2731738 3441448 4301810 5463476 6829345 6882896 8603620 10926952 13658690 17207240 21853904 27317380 34414480 54634760 109269520 378345713 756691426 1513382852 1891728565 2121194557 3026765704 3783457130 4242389114 6053531408 7566914260 8484778228 10605972785 15133828520 16969556456 21211945570 30267657040 33939112912 42423891140 84847782280 169695564560 587570892289 1175141784578 2350283569156 2937854461445 4700567138312 5875708922890 9401134276624 11751417845780 23502835691560 47005671383120