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47273133520 = 2451752096673
BaseRepresentation
bin101100000001101100…
…101100010111010000
311112000112202000001001
4230001230230113100
51233303410233040
633414511151344
73262321001464
oct540154542720
9145015660031
1047273133520
11190594a6998
1291b3815554
1345c4b3a672
1424065064a4
15136a2a459a
hexb01b2c5d0

47273133520 has 80 divisors (see below), whose sum is σ = 116415115920. Its totient is φ = 17790861312.

The previous prime is 47273133499. The next prime is 47273133541. The reversal of 47273133520 is 2533137274.

It is an interprime number because it is at equal distance from previous prime (47273133499) and next prime (47273133541).

It can be written as a sum of positive squares in 8 ways, for example, as 497825344 + 46775308176 = 22312^2 + 216276^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 47273133520.

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, 7080904 + ... + 7087576.

It is an arithmetic number, because the mean of its divisors is an integer number (1455188949).

Almost surely, 247273133520 is an apocalyptic number.

47273133520 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

47273133520 is an abundant number, since it is smaller than the sum of its proper divisors (69141982400).

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

47273133520 is a wasteful number, since it uses less digits than its factorization.

47273133520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11912 (or 11906 counting only the distinct ones).

The product of its (nonzero) digits is 105840, while the sum is 37.

The spelling of 47273133520 in words is "forty-seven billion, two hundred seventy-three million, one hundred thirty-three thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 16 17 20 34 40 68 80 85 136 170 272 340 680 1360 5209 6673 10418 13346 20836 26045 26692 33365 41672 52090 53384 66730 83344 88553 104180 106768 113441 133460 177106 208360 226882 266920 354212 416720 442765 453764 533840 567205 708424 885530 907528 1134410 1416848 1771060 1815056 2268820 3542120 4537640 7084240 9075280 34759657 69519314 139038628 173798285 278077256 347596570 556154512 590914169 695193140 1181828338 1390386280 2363656676 2780772560 2954570845 4727313352 5909141690 9454626704 11818283380 23636566760 47273133520