Search a number
-
+
47432151536 = 2471150376541
BaseRepresentation
bin101100001011001011…
…010011000111110000
311112102121221221202012
4230023023103013300
51234120112322121
633442351342052
73266261431040
oct541313230760
9145377857665
1047432151536
1119130238540
129238b21928
13461ba76173
14241d69b720
151379215c5b
hexb0b2d31f0

47432151536 has 80 divisors (see below), whose sum is σ = 114805651968. Its totient is φ = 18443078400.

The previous prime is 47432151527. The next prime is 47432151539. The reversal of 47432151536 is 63515123474.

It is a junction number, because it is equal to n+sod(n) for n = 47432151493 and 47432151502.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47432151539) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 581426 + ... + 657966.

Almost surely, 247432151536 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 47432151536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57402825984).

47432151536 is an abundant number, since it is smaller than the sum of its proper divisors (67373500432).

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

47432151536 is a wasteful number, since it uses less digits than its factorization.

47432151536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77070 (or 77064 counting only the distinct ones).

The product of its digits is 302400, while the sum is 41.

The spelling of 47432151536 in words is "forty-seven billion, four hundred thirty-two million, one hundred fifty-one thousand, five hundred thirty-six".

Divisors: 1 2 4 7 8 11 14 16 22 28 44 56 77 88 112 154 176 308 503 616 1006 1232 2012 3521 4024 5533 7042 8048 11066 14084 22132 28168 38731 44264 56336 76541 77462 88528 153082 154924 306164 309848 535787 612328 619696 841951 1071574 1224656 1683902 2143148 3367804 4286296 5893657 6735608 8572592 11787314 13471216 23574628 38500123 47149256 77000246 94298512 154000492 269500861 308000984 423501353 539001722 616001968 847002706 1078003444 1694005412 2156006888 2964509471 3388010824 4312013776 5929018942 6776021648 11858037884 23716075768 47432151536