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47488100228010 = 232513250131622681
BaseRepresentation
bin10101100110000101011110…
…10110000101101110101010
320020010211002100120122120100
422303002233112011232222
522211021112124244020
6244555422043410230
713000621251561531
oct1263025726055652
9206124070518510
1047488100228010
1114149654626002
1253ab618823976
13206615489c850
14ba2617367318
1557541b4caa90
hex2b30af585baa

47488100228010 has 96 divisors (see below), whose sum is σ = 132972078487248. Its totient is φ = 11688903982080.

The previous prime is 47488100228003. The next prime is 47488100228011. The reversal of 47488100228010 is 1082200188474.

47488100228010 is a `hidden beast` number, since 47 + 488 + 100 + 2 + 28 + 0 + 1 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 22326730663689 + 25161369564321 = 4725117^2 + 5016111^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (47488100228011) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 28453870 + ... + 30076550.

Almost surely, 247488100228010 is an apocalyptic number.

47488100228010 is an abundant number, since it is smaller than the sum of its proper divisors (85483978259238).

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

47488100228010 is a wasteful number, since it uses less digits than its factorization.

47488100228010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1647720 (or 1647717 counting only the distinct ones).

The product of its (nonzero) digits is 229376, while the sum is 45.

The spelling of 47488100228010 in words is "forty-seven trillion, four hundred eighty-eight billion, one hundred million, two hundred twenty-eight thousand, ten".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 30 39 45 65 78 90 117 130 195 234 390 585 1170 25013 50026 75039 125065 150078 225117 250130 325169 375195 450234 650338 750390 975507 1125585 1622681 1625845 1951014 2251170 2926521 3245362 3251690 4868043 4877535 5853042 8113405 9736086 9755070 14604129 14632605 16226810 21094853 24340215 29208258 29265210 42189706 48680430 63284559 73020645 105474265 126569118 146041290 189853677 210948530 316422795 379707354 632845590 949268385 1898536770 40588119853 81176239706 121764359559 202940599265 243528719118 365293078677 405881198530 527645558089 608821797795 730586157354 1055291116178 1217643595590 1582936674267 1826465393385 2638227790445 3165873348534 3652930786770 4748810022801 5276455580890 7914683371335 9497620045602 15829366742670 23744050114005 47488100228010